135321216292640
135,321,216,292,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 135321216292640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
135321216292640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 135321216292640:
25 × 5 × 76 × 19 × 71 × 732
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 71 × 73 × 73)See below for interesting mathematical facts about the number 135321216292640 from the Numbermatics database.
Names of 135321216292640
- Cardinal: 135321216292640 can be written as One hundred thirty-five trillion, three hundred twenty-one billion, two hundred sixteen million, two hundred ninety-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3532121629264 × 1014
Factors of 135321216292640
Divisors of 135321216292640
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 71 73 76 80 95 98 112 133 140 142 146 152 160 190 196 224 245 266 280 284 292 304 343 355 365 380 392 490 497 511 532 560 568 584 608 665 686 710 730 760 784 931 980 994 1022 1064 1120 1136 1168 1330 1349 1372 1387 1420 1460 1520 1568 1715 1862 1960 1988 2044 2128 2272 2336 2401 2485 2555 2660 2698 2744 2774 2840 2920 3040 3430 3479 3577 3724 3920 3976 4088 4256 4655 4802 4970 5110 5183 5320 5329 5396 5488 5548 5680 5840 6517 6745 6860 6935 6958 7154 7448 7840 7952 8176 9310 9443 9604 9709 9940 10220 10366 10640 10658 10792 10976 11096 11360 11680 12005 13034 13490 13720 13870 13916 14308 14896 15904 16352 16807 17395 17885 18620 18886 19208 19418 19880 20440 20732 21280 21316 21584 22192 24010 24353 25039 25915 26068 26645 26980 27440 27740 27832 28616 29792 32585 33614 34790 35770 36281 37240 37303 37772 38416 38836 39760 40880 41464 42632 43168 44384 45619 47215 48020 48545 48706 50078 51830 52136 53290 53960 54880 55480 55664 57232 65170 66101 67228 67963 69580 71540 72562 74480 74606 75544 76832 77672 79520 81760 82928 84035 85264 91238 94430 96040 97090 97412 98477 100156 101251 103660 104272 106580 107920 110960 111328 114464 117649 121765 125195 130340 132202 134456 135926 139160 143080 145124 148960 149212 151088 155344 165856 168070 170471 170528 175273 181405 182476 186515 188860 192080 194180 194824 196954 200312 202502 207320 208544 213160 215840 221920 228095 235298 243530 250390 253967 260680 261121 264404 268912 271852 278320 286160 290248 298424 302176 310688 319333 330505 336140 339815 340942 350546 362810 364952 373030 377720 378359 384160 388360 389648 393908 400624 405004 414640 426320 456190 462707 470596 475741 487060 492385 500780 506255 507934 521360 522242 528808 537824 543704 556640 572320 580496 588245 596848 638666 661010 672280 679630 681884 689339 701092 708757 725620 729904 746060 755440 756718 776720 779296 787816 801248 810008 829280 852355 852640 876365 912380 925414 941192 951482 974120 984770 1001560 1012510 1015868 1042720 1044484 1057616 1087408 1160992 1176490 1193297 1193696 1226911 1269835 1277332 1305605 1322020 1344560 1359260 1363768 1378678 1402184 1417514 1451240 1459808 1492120 1510880 1513436 1553440 1575632 1596665 1620016 1704710 1752730 1777769 1824760 1827847 1850828 1882384 1891795 1902964 1948240 1969540 2003120 2025020 2031736 2088968 2115232 2174816 2235331 2313535 2352980 2378705 2386594 2453822 2539670 2554664 2611210 2644040 2648513 2689120 2718520 2727536 2757356 2804368 2835028 2902480 2984240 3026872 3151264 3193330 3238949 3240032 3330187 3409420 3446695 3505460 3543785 3555538 3649520 3655694 3701656 3764768 3783590 3805928 3896480 3939080 4006240 4050040 4063472 4177936 4470662 4627070 4705960 4757410 4773188 4825373 4907644 4961299 5079340 5109328 5222420 5288080 5297026 5437040 5455072 5514712 5608736 5670056 5804960 5966485 5968480 6053744 6134555 6386660 6477898 6660374 6818840 6893390 7010920 7087570 7111076 7188821 7299040 7311388 7403312 7567180 7611856 7878160 8100080 8126944 8353079 8355872 8588377 8888845 8941324 9139235 9254140 9411920 9514820 9546376 9650746 9815288 9922598 10158680 10218656 10444840 10576160 10594052 10874080 11029424 11176655 11340112 11932970 12107488 12269110 12444383 12773320 12794929 12955796 13242565 13320748 13637680 13786780 14021840 14175140 14222152 14377642 14622776 14806624 15134360 15223712 15756320 16194745 16200160 16650935 16706158 17176754 17777690 17882648 18278470 18508280 18539591 18823840 19029640 19092752 19301492 19630576 19845196 20317360 20889680 21188104 22058848 22353310 22672643 22680224 23311309 23865940 24126865 24538220 24806495 24888766 25546640 25589858 25911592 26485130 26641496 27275360 27573560 28043680 28350280 28444304 28755284 29245552 30268720 32389490 33301870 33412316 33777611 34353508 34729093 35555380 35765296 35944105 36556940 37016560 37079182 38059280 38185504 38602984 39261152 39690392 40634720 41765395 41779360 42376208 42941885 44706620 45345286 46622618 47731880 48253730 49076440 49612990 49777532 50321747 51093280 51179716 51823184 52970260 53282992 55147120 56700560 56888608 57510568 58491104 60537440 62221915 63974645 64778980 66603740 66824632 67555222 68707016 69458186 71110760 71530592 71888210 73113880 74033120 74158364 76118560 77205968 79380784 83530790 84752416 85883770 87110681 89413240 89564503 90690572 92697955 93245236 95463760 96507460 98152880 99225980 99555064 100643494 102359432 103646368 105940520 106565984 110294240 113363215 113401120 115021136 116556545 124443830 127949290 129557960 129777137 133207480 133649264 135110444 137414032 138916372 142221520 143776420 146227760 148316728 154411936 158708501 158761568 163179163 167061580 168888055 171767540 173645465 174221362 178826480 179129006 181381144 185395910 186490472 190927520 193014920 196305760 198451960 199110128 201286988 204718864 211881040 226726430 230042272 233113090 236443277 243103651 248887660 251608735 255898580 259115920 259554274 266414960 267298528 270220888 274828064 277832744 284443040 287552840 292455520 296633456 317417002 326358326 334123160 337776110 343535080 347290930 348442724 352252229 357652960 358258012 362762288 370791820 372980944 386029840 396903920 398220256 402573976 409437728 423762080 435553405 447822515 453452860 466226180 472886554 486207302 497775320 503217470 511797160 518231840 519108548 532829920 540441776 555665488 575105680 593266912 609774767 626951521 634834004 648885685 652716652 668246320 675552220 687070160 694581860 696885448 704504458 716516024 725524576 741583640 745961888 772059680 793542505 793807840 805147952 815895815 871106810 895645030 906905720 908439959 932452360 945773108 972414604 995550640 1006434940 1023594320 1038217096 1080883552 1111330976 1150211360 1182216385 1215518255 1219549534 1253903042 1269668008 1297771370 1305433304 1336492640 1351104440 1374140320 1389163720 1393770896 1409008916 1433032048 1483167280 1587085010 1610295904 1631791630 1655102939 1701725557 1742213620 1761261145 1791290060 1813811440 1816879918 1864904720 1891546216 1944829208 1991101280 2012869880 2047188640 2076434192 2364432770 2431036510 2439099068 2465765603 2507806084 2539336016 2595542740 2610866608 2702208880 2778327440 2787541792 2818017832 2866064096 2966334560 3048873835 3134757605 3174170020 3263583260 3310205878 3403451114 3484427240 3522522290 3582580120 3627622880 3633759836 3729809440 3783092432 3889658416 4025739760 4152868384 4542199795 4728865540 4862073020 4878198136 4931531206 5015612168 5078672032 5191085480 5221733216 5404417760 5556654880 5636035664 6097747670 6269515210 6348340040 6359079713 6527166520 6620411756 6806902228 6968854480 7045044580 7165160240 7267519672 7566184864 7779316832 8051479520 8275514695 8508627785 9084399590 9457731080 9724146040 9756396272 9863062412 10031224336 10382170960 11272071328 11585720573 11912078899 12195495340 12328828015 12539030420 12696680080 12718159426 13054333040 13240823512 13613804456 13937708960 14090089160 14330320480 14535039344 16551029390 17017255570 17260359221 18168799180 18915462160 19448292080 19512792544 19726124824 20062448672 20764341920 23171441146 23824157798 24390990680 24657656030 25078060840 25393360160 25436318852 26108666080 26481647024 27227608912 28180178320 29070078688 31795398565 33102058780 34034511140 34520718442 36337598360 37830924320 38896584160 39452249648 44513557991 46342882292 47648315596 48781981360 49315312060 50156121680 50872637704 52963294048 54455217824 56360356640 57928602865 59560394495 63590797130 66204117560 68069022280 69041436884 72675196720 78904499296 86301796105 89027115982 92685764584 95296631192 97563962720 98630624120 100312243360 101745275408 115857205730 119120788990 120822514547 127181594260 132408235120 136138044560 138082873768 145350393440 172603592210 178054231964 185371529168 190593262384 197261248240 203490550816 222567789955 231714411460 238241577980 241645029094 254363188520 264816470240 272276089120 276165747536 345207184420 356108463928 370743058336 381186524768 394522496480 445135579910 463428822920 476483155960 483290058188 508726377040 552331495072 604112572735 690414368840 712216927856 845757601829 890271159820 926857645840 952966311920 966580116376 1017452754080 1208225145470 1380828737680 1424433855712 1691515203658 1780542319640 1853715291680 1905932623840 1933160232752 2416450290940 2761657475360 3383030407316 3561084639280 3866320465504 4228788009145 4832900581880 6766060814632 7122169278560 8457576018290 9665801163760 13532121629264 16915152036580 19331602327520 27064243258528 33830304073160 67660608146320 135321216292640
- Sum of all divisors σ(n): 403667478486720
- Sum of proper divisors (its aliquot sum) s(n): 268346262194080
- 135321216292640 is an abundant number, because the sum of its proper divisors (268346262194080) is greater than itself. Its abundance is 133025045901440
Bases of 135321216292640
- Binary: 111101100010010111011010000011100010111001000002
- Hexadecimal: 0x7B12ED071720
- Base-36: 1BYTPIAGBK
Squares and roots of 135321216292640
- 135321216292640 squared (1353212162926402) is 18311831578919457386118169600
- 135321216292640 cubed (1353212162926403) is 2477979321805355332804682239439854751744000
-
The
square root of 135321216292640 is 11632764.7742331659 -
The
cube root of 135321216292640 is 51339.9329978329
Scales and comparisons
How big is 135321216292640?- 135,321,216,292,640 seconds is equal to 4,302,796 years, 5 weeks, 2 days, 3 hours, 57 minutes, 20 seconds.
-
To count from 1 to 135,321,216,292,640 would take you about ten million, seven hundred fifty-six thousand, nine hundred ninety 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 135321216292640 cubic inches would be around 4278.3 feet tall.
Recreational maths with 135321216292640
- 135321216292640 backwards is 046292612123531
- The number of decimal digits it has is: 15
- The sum of 135321216292640's digits is 47
- More coming soon!
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The information we have on file for 135321216292640 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!
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