134988685996320
134,988,685,996,320 is an even composite number composed of seven prime numbers multiplied together.
134988685996320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 134988685996320:
25 × 32 × 5 × 134 × 172 × 41 × 277
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 13 × 17 × 17 × 41 × 277)See below for interesting mathematical facts about the number 134988685996320 from the Numbermatics database.
Names of 134988685996320
- Cardinal: 134988685996320 can be written as One hundred thirty-four trillion, nine hundred eighty-eight billion, six hundred eighty-five million, nine hundred ninety-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3498868599632 × 1014
Factors of 134988685996320
Divisors of 134988685996320
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 41 45 48 51 52 60 65 68 72 78 80 82 85 90 96 102 104 117 120 123 130 136 144 153 156 160 164 169 170 180 195 204 205 208 221 234 240 246 255 260 272 277 288 289 306 312 328 338 340 360 369 390 408 410 416 442 468 480 492 507 510 520 533 544 554 578 585 612 615 624 656 663 676 680 697 720 738 765 780 816 820 831 845 867 884 936 984 1014 1020 1040 1066 1105 1108 1156 1170 1224 1230 1248 1312 1326 1352 1360 1385 1394 1440 1445 1476 1521 1530 1560 1599 1632 1640 1662 1690 1734 1768 1845 1872 1968 1989 2028 2040 2080 2091 2132 2197 2210 2216 2312 2340 2448 2460 2493 2535 2601 2652 2665 2704 2720 2770 2788 2873 2890 2952 3042 3060 3120 3198 3280 3315 3324 3380 3468 3485 3536 3601 3690 3744 3757 3936 3978 4056 4080 4155 4182 4264 4335 4394 4420 4432 4624 4680 4709 4797 4896 4920 4986 5070 5202 5304 5330 5408 5540 5576 5746 5780 5904 6084 6120 6240 6273 6396 6560 6591 6630 6648 6760 6929 6936 6970 7072 7202 7380 7514 7605 7956 7995 8112 8160 8310 8364 8528 8619 8670 8788 8840 8864 9061 9248 9360 9418 9594 9840 9945 9972 10140 10404 10455 10608 10660 10803 10985 11080 11152 11271 11357 11492 11560 11808 11849 12168 12240 12465 12546 12792 13005 13182 13260 13296 13520 13858 13872 13940 14127 14365 14404 14760 15028 15210 15912 15990 16224 16620 16728 17056 17238 17340 17576 17680 18005 18122 18720 18785 18836 19188 19680 19773 19890 19944 20280 20787 20808 20910 21216 21320 21606 21970 22160 22304 22542 22714 22984 23120 23545 23698 23985 24336 24480 24930 25092 25584 25857 26010 26364 26520 26592 27040 27183 27716 27744 27880 28254 28561 28730 28808 29520 30056 30420 31365 31824 31980 32409 32955 33240 33456 33813 34071 34476 34645 34680 35152 35360 35547 36010 36244 37349 37570 37672 38376 39546 39780 39888 40560 41574 41616 41820 42381 42640 43095 43212 43940 44320 45084 45305 45428 45968 46240 46813 47090 47396 47970 48672 48841 49860 50184 51168 51714 52020 52728 53040 54015 54366 55432 55760 56355 56508 56785 57122 57460 57616 59040 59245 60112 60840 61217 62361 62730 63648 63960 64818 65910 66480 66912 67626 68142 68952 69290 69360 70304 70635 71094 72020 72488 74698 75140 75344 76752 79092 79560 79776 80053 81120 81549 83148 83232 83640 84762 85280 85683 86190 86424 87880 90077 90168 90610 90856 91936 93626 94180 94792 95940 97682 98865 99720 100368 102213 103428 103935 104040 105456 106080 106641 108030 108732 110864 111520 112047 112710 113016 113570 114244 114920 115232 117793 118490 120224 121680 122434 124722 125460 127920 129285 129636 131820 132960 135252 135915 136284 137904 138580 138720 140439 141270 142188 142805 144040 144976 146523 147641 149396 150280 150688 153504 154037 158184 159120 160106 162045 163098 166296 167280 169065 169524 170355 171366 172380 172848 175760 177735 180154 180336 181220 181712 183651 186745 187252 188360 189584 191880 193069 195364 197730 199440 200736 204426 206856 207870 208080 210912 211905 213282 216060 217464 221728 224094 225420 226032 227140 228488 229840 234065 235586 236980 240159 243360 244205 244868 249444 250920 255840 257049 258570 259272 263640 270231 270504 271830 272568 275808 277160 280878 282540 284376 285610 288080 289952 293046 295282 298792 300560 306085 308074 311805 316368 318240 320212 324090 326196 332592 334560 336141 338130 339048 340710 342732 344760 345696 351520 353379 355470 360308 360672 362440 363424 367302 373490 374504 376720 379168 383760 386138 390728 395460 398880 400265 407745 408852 413712 415740 416160 421317 423810 426564 428415 432120 434928 439569 442923 448188 450385 450840 452064 454280 456976 459680 462111 468130 471172 473960 480318 485537 488410 489736 498888 501840 511065 514098 517140 518544 527280 533205 540462 541008 543660 545136 550953 554320 560235 561756 565080 568752 571220 576160 579207 586092 588965 590564 597584 601120 608569 612170 616148 623610 632736 634933 640424 648180 652392 665184 672282 676260 678096 681420 685464 689520 702195 706758 710940 720477 720616 724880 732615 734604 738205 746980 749008 753440 767520 770185 772276 781456 790920 795821 800530 810693 815490 817704 827424 831480 842634 847620 853128 856830 864240 869856 879138 885846 896376 900770 901680 908560 913952 918255 924222 936260 942344 947920 960636 965345 971074 976820 979472 997776 1003680 1022130 1028196 1034280 1037088 1040689 1054560 1060137 1066410 1080924 1082016 1087320 1090272 1101906 1108640 1120470 1123512 1130160 1137504 1142440 1158414 1171001 1172184 1177930 1181128 1195168 1200795 1217138 1224340 1232296 1247220 1269866 1280848 1285245 1296360 1304784 1328769 1344564 1351155 1352520 1356192 1362840 1370928 1379040 1386333 1404390 1413516 1421880 1440954 1441232 1449760 1456611 1465230 1469208 1476410 1493960 1498016 1531309 1540370 1544552 1562912 1581840 1591642 1601060 1621386 1630980 1635408 1662960 1680705 1685268 1695240 1706256 1713660 1728480 1737621 1758276 1766895 1771692 1792752 1801540 1803360 1817120 1825707 1836510 1848444 1872520 1884688 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11090664 11235120 11308128 11428794 11515998 11527632 11584140 11652888 11710010 11721840 11811280 11937315 12014886 12171380 12250472 12322960 12488268 12549485 12698660 12733136 12808480 12971088 13047840 13128692 13287690 13445640 13482144 13528957 13709280 13781781 13863330 13900968 14052012 14066208 14135160 14173536 14324778 14409540 14412320 14566110 14605656 14692080 14787552 15059382 15238392 15313090 15354664 15445520 15537184 15610335 15822794 15916420 16019848 16213860 16354080 16410865 16508258 16651024 16852680 16962192 17062560 17273997 17376210 17479332 17565015 17582760 17630496 17716920 17927520 18022329 18257070 18375708 18484440 18534624 18732402 18736016 18846880 19047990 19099704 19193330 19212720 19421480 19474208 19693038 19907017 20024810 20079176 20317856 20563920 20691346 20813780 21078018 21202740 21260304 21618480 21849165 21908484 22038120 22181328 22470240 22589073 22857588 22969635 23031996 23055264 23168280 23305776 23420020 23443680 23622560 23734191 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253164704 256009494 260322530 261029288 262573840 264132128 268987498 270579140 275635620 276383952 278019360 281040240 284810292 286495560 288357264 292113120 293657949 295395570 297148644 298605255 299415948 299718432 301187640 304767840 307093280 310370190 312387036 315088608 316455880 318512272 320396960 324367277 324694968 326286610 330165160 331061536 337248288 338419289 341345992 345479940 349586640 351752882 356012865 358326306 360446580 361425168 367514160 371435805 372444228 374269935 374648040 379747056 381994080 384014241 390483795 391543932 393860760 396198192 398140340 399221264 401583520 403481247 405868710 413826920 416516048 421560360 424172593 426682490 432926624 438169680 441016992 449123922 451781460 457151760 460639920 465555285 468580554 472632912 474683820 477768408 480595440 487042452 489429915 495247740 496592304 499026580 499530720 512018988 520645060 522058576 525147680 527629323 537974996 541158280 551271240 552767904 554687237 562080480 569620584 572991120 576714528 587315898 590791140 594297288 597210510 598831896 602375280 608803065 620740380 624774072 632911760 637024544 640023735 648734554 649389936 652573220 660330320 672468745 676838578 682691984 690959880 699173280 703505764 712025730 716652612 720893160 722850336 735028320 742871610 744888456 748539870 749296080 759494112 768028482 780967590 783087864 787721520 792396384 796280680 798442528 806962494 811737420 827653840 833032096 843120720 848345186 853364980 876339360 879382205 895815765 898247844 903562920 914303520 921279840 931110570 937161108 945265824 949367640 955536816 961190880 973101831 974084904 978859830 990495480 993184608 998053160 1015257867 1024037976 1041290120 1044117152 1055258646 1075949992 1082316560 1102542480 1109374474 1122809805 1139241168 1145982240 1171451385 1174631796 1181582280 1188594576 1194421020 1197663792 1204750560 1210443741 1217606130 1241480760 1249548144 1265823520 1272517779 1280047470 1297469108 1298779872 1305146440 1320660640 1344937490 1353677156 1365383968 1381919760 1407011528 1424051460 1433305224 1441786320 1468289745 1485743220 1489776912 1497079740 1498592160 1536056964 1561935180 1566175728 1575443040 1582887969 1592561360 1613924988 1621836385 1623474840 1655307680 1664061711 1686241440 1692096445 1696690372 1706729960 1758764410 1791631530 1796495688 1807125840 1862221140 1874322216 1898735280 1911073632 1920071205 1946203662 1948169808 1957719660 1980990960 1996106320 2017406235 2030515734 2048075952 2082580240 2110517292 2120862965 2151899984 2164633120 2205084960 2218748948 2245619610 2278482336 2286393733 2342902770 2349263592 2363164560 2377189152 2388842040 2395327584 2420887482 2435212260 2482961520 2499096288 2545035558 2560094940 2594938216 2610292880 2638146615 2689874980 2707354312 2763839520 2773436185 2814023056 2848102920 2866610448 2883572640 2919305493 2936579490 2971486440 2979553824 2994159480 3045773601 3072113928 3123870360 3132351456 3165775938 3185122720 3227849976 3243672770 3246949680 3328123422 3384192890 3393380744 3413459920 3517528820 3583263060 3592991376 3614251680 3724442280 3748644432 3797470560 3817553337 3840142410 3892407324 3896339616 3915439320 3961981920 3992212640 4034812470 4061031468 4096151904 4165160480 4221034584 4241725930 4303799968 4437497896 4491239220 4572787466 4685805540 4698527184 4726329120 4777684080 4841774964 4865509155 4870424520 4965923040 4992185133 5076289335 5090071116 5120189880 5189876432 5220585760 5276293230 5379749960 5414708624 5514243709 5546872370 5628046112 5696205840 5733220896 5838610986 5873158980 5942972880 5988318960 6052218705 6091547202 6144227856 6247740720 6331551876 6362588895 6455699952 6487345540 6493899360 6656246844 6768385780 6786761488 6826919840 6859181199 7035057640 7166526120 7185982752 7210934081 7448884560 7497288864 7635106674 7680284820 7784814648 7830878640 7914439845 8069624940 8122062936 8320308555 8442069168 8483451860 8874995792 8982478440 9145574932 9371611080 9397054368 9555368160 9683549928 9731018310 9740849040 9984370266 10152578670 10180142232 10240379760 10379752864 10552586460 10759499920 10829417248 11028487418 11093744740 11392411680 11431968665 11677221972 11746317960 11885945760 11976637920 12104437410 12183094404 12288455712 12495481440 12663103752 12725177790 12911399904 12974691080 13312493688 13536771560 13573522976 13718362398 14070115280 14333052240 14421868162 14596527465 14897769120 15228868005 15270213348 15360569640 15569629296 15661757280 15828879690 16139249880 16244125872 16542731127 16640617110 16884138336 16966903720 17749991584 17964956880 18291149864 18743222160 19087766685 19367099856 19462036620 19481698080 19968740532 20305157340 20360284464 20480759520 20577543597 21105172920 21518999840 21632802243 22056974836 22187489480 22863937330 23354443944 23492635920 24208874820 24366188808 24960925665 25326207504 25450355580 25949382160 26624987376 27073543120 27436724796 27571218545 28140230560 28666104480 28843736324 29193054930 30457736010 30540426696 30721139280 31139258592 31657759380 32278499760 32488251744 33085462254 33281234220 33933807440 34295905995 35929913760 36054670405 36582299728 37486444320 38175533370 38734199712 38924073240 39937481064 40610314680 40720568928 41155087194 42210345840 43265604486 44113949672 44374978960 45727874660 46708887888 46985271840 48417749640 48732377616 49628193381 49921851330 50652415008 50900711160 51898764320 53249974752 54147086240 54873449592 55142437090 57687472648 58386109860 60915472020 61080853392 61442278560 63315518760 64556999520 64898406729 66170924508 66562468440 67867614880 68591811990 72109340810 73164599456 76351066740 77848146480 79874962128 81220629360 82310174388 82713655635 84420691680 86531208972 88227899344 88749957920 91455749320 93417775776 93742143053 96835499280 97464755232 99256386762 99843702660 101801422320 102887717985 108164011215 109746899184 110284874180 115374945296 116772219720 121830944040 122161706784 126631037520 129796813458 132341849016 133124936880 137183623980 144218681620 152702133480 155696292960 159749924256 162441258720 164620348776 165427311270 173062417944 176455798688 182911498640 187484286106 193670998560 198512773524 199687405320 203602844640 205775435970 216328022430 219493798368 220569748360 230749890592 233544439440 243661888080 248140966905 253262075040 259593626916 264683698032 266249873760 274367247960 281226429159 288437363240 305404266960 324492033645 329240697552 330854622540 346124835888 365822997280 374968572212 397025547048 399374810640 411550871940 432656044860 441139496720 467088878880 468710715265 487323776160 496281933810 519187253832 529367396064 548734495920 562452858318 576874726480 610808533920 648984067290 658481395104 661709245080 692249671776 749937144424 794051094096 798749621280 823101743880 843679287477 865312089720 882278993440 937421430530 992563867620 1038374507664 1097468991840 1124905716636 1153749452960 1297968134580 1323418490160 1406132145795 1499874288848 1588102188192 1646203487760 1687358574954 1730624179440 1874842861060 1985127735240 2076749015328 2249811433272 2595936269160 2646836980320 2812264291590 2999748577696 3292406975520 3374717149908 3461248358880 3749685722120 3970255470480 4218396437385 4499622866544 5191872538320 5624528583180 6749434299816 7499371444240 7940510940960 8436792874770 8999245733088 10383745076640 11249057166360 13498868599632 14998742888480 16873585749540 22498114332720 26997737199264 33747171499080 44996228665440 67494342998160 134988685996320
- Sum of all divisors σ(n): 545006848663368
- Sum of proper divisors (its aliquot sum) s(n): 410018162667048
- 134988685996320 is an abundant number, because the sum of its proper divisors (410018162667048) is greater than itself. Its abundance is 275029476670728
Bases of 134988685996320
- Binary: 111101011000101100000001010110101110001001000002
- Hexadecimal: 0x7AC580AD7120
- Base-36: 1BUKY2C5K0
Squares and roots of 134988685996320
- 134988685996320 squared (1349886859963202) is 18221945347013079271053542400
- 134988685996320 cubed (1349886859963203) is 2459756458690052836736347392503809363968000
-
The
square root of 134988685996320 is 11618463.1512227123 -
The
cube root of 134988685996320 is 51297.8452732903
Scales and comparisons
How big is 134988685996320?- 134,988,685,996,320 seconds is equal to 4,292,222 years, 34 weeks, 4 days, 21 hours, 12 minutes.
-
To count from 1 to 134,988,685,996,320 would take you about ten million, seven hundred thirty thousand, five hundred fifty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 134988685996320 cubic inches would be around 4274.8 feet tall.
Recreational maths with 134988685996320
- 134988685996320 backwards is 023699586889431
- The number of decimal digits it has is: 15
- The sum of 134988685996320's digits is 81
- More coming soon!
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MLA style:
"Number 134988685996320 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 134988685996320 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/134988685996320/
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Numbermatics. 2024. "Number 134988685996320 - Facts about the integer". https://numbermatics.com/n/134988685996320/
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