138088961971584
138,088,961,971,584 is an even composite number composed of six prime numbers multiplied together.
138088961971584 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138088961971584:
27 × 3 × 132 × 233 × 47 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 23 × 23 × 23 × 47 × 61 × 61)See below for interesting mathematical facts about the number 138088961971584 from the Numbermatics database.
Names of 138088961971584
- Cardinal: 138088961971584 can be written as One hundred thirty-eight trillion, eighty-eight billion, nine hundred sixty-one million, nine hundred seventy-one thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38088961971584 × 1014
Factors of 138088961971584
Divisors of 138088961971584
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 47 48 52 61 64 69 78 92 94 96 104 122 128 138 141 156 169 183 184 188 192 208 244 276 282 299 312 338 366 368 376 384 416 488 507 529 552 564 598 611 624 676 732 736 752 793 832 897 976 1014 1058 1081 1104 1128 1196 1222 1248 1352 1403 1464 1472 1504 1586 1587 1664 1794 1833 1952 2028 2116 2162 2208 2256 2379 2392 2444 2496 2704 2806 2867 2928 2944 3008 3172 3174 3243 3588 3666 3721 3887 3904 4056 4209 4232 4324 4416 4512 4758 4784 4888 4992 5408 5612 5734 5856 6016 6344 6348 6486 6877 7176 7332 7442 7774 7808 7943 8112 8418 8464 8601 8648 8832 9024 9516 9568 9776 10309 10816 11163 11224 11468 11661 11712 12167 12688 12696 12972 13754 14053 14352 14664 14884 15548 15886 16224 16836 16928 17202 17296 18048 18239 19032 19136 19552 20618 20631 21632 22326 22448 22936 23322 23424 23829 24334 24863 25376 25392 25944 27508 28106 28704 29328 29768 30927 31096 31772 32269 32448 33672 33856 34404 34592 36478 36501 37271 38064 38272 39104 41236 41262 42159 44652 44896 45872 46644 47658 48373 48668 49726 50752 50784 51888 54717 55016 56212 57408 58656 59536 61854 62192 63544 64538 64896 65941 67344 67712 68808 69184 72956 73002 74542 74589 76128 78208 82472 82524 84318 85583 89304 89401 89792 91744 93288 95316 96746 96807 97336 99452 101504 101568 103776 109434 110032 111813 112424 114816 117312 119072 123708 124384 127088 129076 131882 134688 137616 138368 145119 145912 146004 149084 149178 152256 158171 164944 165048 168636 171166 174887 178608 178802 179584 182689 183488 186576 190632 193492 193614 194672 197823 198904 203136 207552 218868 220064 223626 224848 234624 237107 238144 247416 248768 254176 256749 258152 263764 268203 269376 275232 290238 291824 292008 298168 298356 304512 316342 323219 329888 330096 337272 342332 349774 357216 357604 365378 366976 373152 381264 386984 387228 389344 395646 397808 415104 419497 437736 440128 447252 449696 474214 474513 476288 484523 494832 497536 508352 513498 516304 524661 527528 536406 538752 548067 550464 571849 580476 583648 584016 596336 596712 628849 632684 646438 659776 660192 674544 684664 699548 711321 714432 715208 730756 742187 746304 762528 773968 774456 778688 791292 795616 838994 857233 875472 880256 894504 899392 948428 949026 969046 969657 989664 1016704 1026996 1032608 1049322 1055056 1072812 1096134 1100928 1112579 1143698 1160952 1167296 1168032 1192672 1193424 1257698 1258491 1265368 1292876 1319552 1320384 1349088 1369328 1399096 1422642 1428864 1430416 1453569 1461512 1484374 1492608 1516643 1525056 1547936 1548912 1557376 1582584 1591232 1677988 1714466 1715547 1750944 1789008 1798784 1886547 1896856 1898052 1938092 1939314 1968409 1979328 2053992 2056223 2065216 2098644 2110112 2145624 2192268 2225158 2226561 2273531 2287396 2321904 2334592 2336064 2385344 2386848 2515396 2516982 2530736 2571699 2585752 2640768 2698176 2738656 2798192 2845284 2860832 2907138 2923024 2968748 3033286 3050112 3095872 3097824 3165168 3182464 3337737 3355976 3428932 3431094 3501888 3578016 3773094 3793712 3796104 3876184 3878628 3936818 3958656 4022401 4107984 4112446 4130432 4197288 4201847 4220224 4291248 4384536 4450316 4453122 4547062 4549929 4574792 4643808 4672128 4770688 4773696 5030792 5033964 5061472 5143398 5171504 5396352 5453461 5477312 5596384 5690568 5721664 5814276 5846048 5905227 5937496 6066572 6168669 6191744 6195648 6330336 6675474 6711952 6820593 6857864 6862188 7003776 7156032 7434037 7546188 7587424 7592208 7752368 7757256 7873636 8044802 8215968 8224892 8394576 8403694 8440448 8582496 8769072 8900632 8906244 9094124 9099858 9149584 9287616 9547392 9648431 10061584 10067928 10122944 10286796 10343008 10906922 10954624 11144029 11192768 11381136 11443328 11628552 11692096 11810454 11874992 12067203 12133144 12337338 12391296 12605541 12660672 13350948 13423904 13641186 13715728 13724376 14312064 14463527 14868074 15092376 15174848 15184416 15504736 15514512 15747272 16089604 16360383 16431936 16449784 16789152 16807388 17164992 17538144 17801264 17812488 18188248 18199716 18299168 18575232 19296862 19716359 20123168 20135856 20245888 20573592 20686016 21813844 22288058 22302111 22385536 22762272 23257104 23384192 23620908 23749984 24134406 24266288 24674676 25211082 25321344 25589317 26701896 26847808 27282372 27431456 27448752 28927054 28945293 29555903 29736148 30184752 30349696 30368832 31009472 31029024 31494544 32179208 32720766 32863872 32899568 33432087 33578304 33614776 34329984 34882789 35076288 35602528 35624976 36376496 36399432 36598336 38593724 39432718 40246336 40271712 41147184 41372032 43390581 43627688 44576116 44604222 45273407 45524544 46514208 47241816 47499968 48268812 48532576 49349352 50422164 51178634 52291213 53403792 53695616 54564744 54862912 54897504 57854108 57890586 59111806 59149077 59472296 60369504 60737664 62018944 62058048 62989088 64358416 65441532 65799136 66864174 67156608 67229552 69765578 70152576 71205056 71249952 72752992 72798864 73196672 76767951 77187448 78865436 80492672 80543424 82294368 86781162 87255376 88667709 89152232 89208444 90546814 91049088 92515223 93028416 94483632 94999936 96537624 96642481 97065152 98698704 100844328 102357268 104582426 104648367 106807584 109129488 109725824 109795008 115708216 115781172 118223612 118298154 118944592 120739008 124116096 125429603 125978176 128716832 130883064 131598272 133728348 134459104 135820221 139531156 142410112 142499904 145505984 145597728 153535902 154374896 156873639 157730872 161086848 164588736 173562324 174510752 177335418 178304464 178416888 181093628 185030446 186056832 188967264 193075248 193284962 194130304 197397408 201688656 204714536 209164852 209296734 213615168 218258976 219590016 231416432 231562344 236447224 236596308 237889184 241478016 250859206 251956352 256312667 257433664 261766128 263196544 267456696 268918208 271640442 277545669 279062312 284999808 289927443 291011968 291195456 307071804 308749792 313747278 315461744 329177472 332661121 347124648 349021504 354670836 356608928 356833776 362187256 370060892 376288809 377934528 386150496 386569924 394794816 403377312 409429072 418329704 418593468 427230336 436517952 453476257 462832864 463124688 472894448 473192616 475778368 501718412 512625334 514867328 523532256 534913392 537836416 543280884 555091338 558124624 579854886 582390912 588554291 614143608 617499584 627494556 630923488 665322242 679785769 694249296 698043008 709341672 713217856 713667552 724374512 740121784 752577618 755869056 768938001 772300992 773139848 789589632 806754624 818858144 836659408 837186936 873035904 906952514 925665728 926249376 945788896 946385232 951556736 997983363 1003436824 1025250668 1047064512 1069826784 1086561768 1110182676 1116249248 1159709772 1177108582 1202697899 1228287216 1234999168 1254989112 1261846976 1330644484 1359571538 1360428771 1388498592 1418683344 1426435712 1427335104 1448749024 1480243568 1505155236 1537876002 1544601984 1546279696 1613509248 1637716288 1673318816 1674373872 1765662873 1813905028 1851331456 1852498752 1891577792 1892770464 1995966726 2006873648 2039357307 2050501336 2094129024 2127850129 2139653568 2173123536 2220365352 2232498496 2319419544 2354217164 2405395798 2456574432 2509978224 2523693952 2661288968 2719143076 2720857542 2776997184 2837366688 2854670208 2897498048 2960487136 3010310472 3075752004 3092559392 3275432576 3346637632 3348747744 3531325746 3608093697 3627810056 3704997504 3783155584 3785540928 3991933452 4013747296 4078714614 4101002672 4255700258 4279307136 4346247072 4440730704 4464996992 4638839088 4708434328 4810791596 4913148864 5019956448 5322577936 5438286152 5441715084 5553994368 5674733376 5794996096 5895191341 5920974272 6020620944 6151504008 6185118784 6383550387 6693275264 6697495488 7062651492 7216187394 7255620112 7571081856 7651205783 7983866904 8027494592 8157429228 8202005344 8511400516 8692494144 8881461408 9277678176 9416868656 9621583192 9826297728 10039912896 10645155872 10876572304 10883430168 11349466752 11790382682 11841948544 12041241888 12303008016 12370237568 12767100774 13394990976 14125302984 14432374788 14511240224 15302411566 15635072687 15967733808 16054989184 16314858456 16404010688 17022801032 17384988288 17685574023 17762922816 18555356352 18833737312 19243166384 20079825792 21290311744 21753144608 21766860336 22953617349 23580765364 24082483776 24606016032 25534201548 27662051677 28250605968 28864749576 29022480448 30604823132 31270145374 31935467616 32629716912 32808021376 34045602064 35371148046 35525845632 37110712704 37667474624 38486332768 42580623488 43506289216 43533720672 45907234698 46905218061 47161530728 48164967552 49212032064 51068403096 55324103354 56501211936 57729499152 58044960896 61209646264 62540290748 63870935232 65259433824 68091204128 70742296092 75334949248 76972665536 82986155031 87012578432 87067441344 91814469396 93810436122 94323061456 98424064128 102136806192 110648206708 113002423872 115458998304 122419292528 125080581496 127741870464 130518867648 136182408256 141484592184 153945331072 165972310062 174134882688 183628938792 187620872244 188646122912 204273612384 221296413416 226004847744 230917996608 244838585056 250161162992 261037735296 272364816512 282969184368 331944620124 359606671801 367257877584 375241744488 377292245824 408547224768 442592826832 461835993216 489677170112 500322325984 565938368736 663889240248 719213343602 734515755168 750483488976 754584491648 817094449536 885185653664 979354340224 1000644651968 1078820015403 1131876737472 1327778480496 1438426687204 1469031510336 1500966977952 1770371307328 2001289303936 2157640030806 2263753474944 2655556960992 2876853374408 2938063020672 3001933955904 3540742614656 4315280061612 5311113921984 5753706748816 6003867911808 8630560123224 10622227843968 11507413497632 17261120246448 23014826995264 34522240492896 46029653990528 69044480985792 138088961971584
- Sum of all divisors σ(n): 431137651276800
- Sum of proper divisors (its aliquot sum) s(n): 293048689305216
- 138088961971584 is an abundant number, because the sum of its proper divisors (293048689305216) is greater than itself. Its abundance is 154959727333632
Bases of 138088961971584
- Binary: 111110110010111010101111000011010010101100000002
- Hexadecimal: 0x7D9757869580
- Base-36: 1CY56YLU2O
Squares and roots of 138088961971584
- 138088961971584 squared (1380889619715842) is 19068561418389572112423469056
- 138088961971584 cubed (1380889619715843) is 2633157852556811483363746065235534575304704
-
The
square root of 138088961971584 is 11751125.9873930379 -
The
cube root of 138088961971584 is 51687.5945891899
Scales and comparisons
How big is 138088961971584?- 138,088,961,971,584 seconds is equal to 4,390,801 years, 44 weeks, 2 days, 16 hours, 6 minutes, 24 seconds.
-
To count from 1 to 138,088,961,971,584 would take you about ten million, nine hundred seventy-seven thousand and four 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 138088961971584 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138088961971584
- 138088961971584 backwards is 485179169880831
- 138088961971584 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138088961971584's digits is 78
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138088961971584 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 138088961971584 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138088961971584/
Chicago style:
Numbermatics. 2024. "Number 138088961971584 - Facts about the integer". https://numbermatics.com/n/138088961971584/
The information we have on file for 138088961971584 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138088961971584, math, Factors of 138088961971584, curriculum, school, college, exams, university, Prime factorization of 138088961971584, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eighty-eight billion, nine hundred sixty-one million, nine hundred seventy-one thousand, five hundred eighty-four.