72088457961312
72,088,457,961,312 is an even composite number composed of five prime numbers multiplied together.
What does the number 72088457961312 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
72088457961312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 72088457961312:
25 × 33 × 132 × 173 × 3172
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 17 × 17 × 17 × 317 × 317)See below for interesting mathematical facts about the number 72088457961312 from the Numbermatics database.
Names of 72088457961312
- Cardinal: 72088457961312 can be written as Seventy-two trillion, eighty-eight billion, four hundred fifty-seven million, nine hundred sixty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 7.2088457961312 × 1013
Factors of 72088457961312
Divisors of 72088457961312
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 68 72 78 96 102 104 108 117 136 144 153 156 169 204 208 216 221 234 272 288 289 306 312 317 338 351 408 416 432 442 459 468 507 544 578 612 624 634 663 676 702 816 864 867 884 918 936 951 1014 1156 1224 1248 1268 1326 1352 1404 1521 1632 1734 1768 1836 1872 1902 1989 2028 2312 2448 2536 2601 2652 2704 2808 2853 2873 3042 3468 3536 3672 3744 3757 3804 3978 4056 4121 4563 4624 4896 4913 5072 5202 5304 5389 5408 5616 5706 5746 5967 6084 6936 7072 7344 7514 7608 7803 7956 8112 8242 8559 8619 9126 9248 9826 10144 10404 10608 10778 11232 11271 11412 11492 11934 12168 12363 13872 14688 14739 15028 15216 15606 15912 16167 16224 16484 17118 17238 18252 19652 20808 21216 21556 22542 22824 22984 23868 24336 24726 25857 27744 29478 30056 30432 31212 31824 32334 32968 33813 34236 34476 36504 37089 39304 41616 43112 44217 45084 45648 45968 47736 48501 48672 48841 49452 51714 53573 58956 60112 62424 63648 63869 64668 65936 67626 68472 68952 70057 73008 74178 77571 78608 83232 86224 88434 90168 91296 91613 91936 95472 97002 97682 98904 100489 101439 103428 107146 111267 117912 120224 124848 127738 129336 131872 132651 135252 136944 137904 140114 145503 146016 146523 148356 155142 157216 160719 172448 176868 180336 183226 190944 191607 194004 195364 197808 200978 202878 206856 210171 214292 222534 235824 249696 255476 258672 265302 270504 273888 274839 275808 280228 291006 293046 296712 301467 310284 321438 353736 360672 366452 383214 388008 390728 395616 401956 405756 413712 420342 428584 439569 445068 471648 482157 510952 517344 530604 541008 549678 560456 574821 582012 586092 593424 602934 620568 630513 642876 707472 732904 766428 776016 781456 803912 811512 824517 827424 830297 840684 857168 879138 890136 904401 910741 964314 1021904 1061208 1082016 1099356 1120912 1149642 1164024 1172184 1186848 1190969 1205868 1241136 1261026 1285752 1306357 1318707 1414944 1446471 1465808 1532856 1552032 1557421 1562912 1607824 1623024 1649034 1660594 1681368 1708313 1714336 1724463 1758276 1780272 1808802 1821482 1891539 1928628 2043808 2122416 2198712 2241824 2299284 2328048 2344368 2381938 2411736 2473551 2482272 2490891 2522052 2571504 2612714 2637414 2713203 2732223 2892942 2931616 3065712 3114842 3215648 3246048 3298068 3321188 3362736 3416626 3448926 3516552 3560544 3572907 3617604 3642964 3783078 3857256 3919071 4244832 4397424 4598568 4656096 4672263 4688736 4763876 4823472 4947102 4981782 5044104 5124939 5143008 5225428 5274828 5426406 5464446 5785884 6131424 6229684 6596136 6642376 6725472 6833252 6897852 7033104 7145814 7235208 7285928 7472673 7566156 7714512 7838142 8196669 8794848 9197136 9344526 9527752 9646944 9894204 9963564 10088208 10249878 10450856 10549656 10718721 10852812 10928892 11571768 11757213 12459368 13192272 13284752 13666504 13795704 14016789 14066208 14291628 14470416 14571856 14945346 15132312 15374817 15429024 15482597 15676284 16393338 16982641 18394272 18689052 19055504 19788408 19927128 20176416 20246473 20499756 20901712 21099312 21437442 21705624 21857784 22208069 22418019 23143536 23514426 24590007 24918736 26384544 26569504 27333008 27591408 28033578 28583256 28940832 29041321 29143712 29890692 30264624 30749634 30965194 31352568 32156163 32786676 33965282 35271639 37378104 38111008 39576816 39854256 40492946 40999512 41803424 42050367 42198624 42874884 43411248 43715568 44416138 44836038 46124451 46287072 46447791 47028852 49180014 49837472 50947923 54666016 55182816 56067156 57166512 58082642 59781384 60529248 60739419 61499268 61930388 62705136 64312326 65573352 66624207 67930564 70543278 74756208 79153632 79708512 80985892 81999024 84100734 85749768 86822496 87123963 87431136 88832276 89672076 92248902 92895582 94057704 98360028 101895846 112134312 114333024 116165284 119562768 121478838 122998536 123860776 125410272 128624652 131146704 133248414 135861128 139343373 141086556 149512416 152843769 161971784 163998048 168201468 171499536 174247926 177664552 179344152 182218257 184497804 185791164 188115408 196720056 199872621 203791692 224268624 232330568 239125536 242957676 245997072 247721552 257249304 261371889 262293408 263204149 266496828 271722256 278686746 282173112 288704897 305687538 323943568 336402936 342999072 348495852 355329104 358688304 364436514 368995608 371582328 376230816 377537173 393440112 399745242 407583384 418030119 448537248 458531307 464661136 485915352 491994144 493702457 495443104 514498608 522743778 526408298 532993656 543444512 546654771 557373492 564346224 577409794 599617863 611375076 647887136 672805872 696991704 710658208 717376608 728873028 737991216 743164656 755074346 784115667 786880224 789612447 799490484 815166768 836060238 866114691 917062614 929322272 971830704 987404914 1028997216 1045487556 1052816596 1065987312 1093309542 1114746984 1128692448 1132611519 1154819588 1199235726 1222750152 1345611744 1393983408 1457746056 1475982432 1481107371 1486329312 1510148692 1568231334 1579224894 1598980968 1630333536 1672120476 1732229382 1834125228 1943661408 1974809828 2090975112 2105633192 2131974624 2186619084 2229493968 2265223038 2309639176 2368837341 2398471452 2445500304 2598344073 2787966816 2915492112 2962214742 3020297384 3136462668 3158449788 3197961936 3344240952 3397834557 3464458764 3668250456 3949619656 4181950224 4211266384 4373238168 4443322113 4458987936 4530446076 4619278352 4737674682 4796942904 4891000608 4907983249 5196688146 5830984224 5924429484 6040594768 6272925336 6316899576 6395923872 6418131941 6688481904 6795669114 6928917528 7106512023 7336500912 7795032219 7899239312 8363900448 8422532768 8746476336 8886644226 9060892152 9238556704 9475349364 9593885808 9815966498 10193503671 10393376292 11848858968 12081189536 12545850672 12633799152 12836263882 13329966339 13376963808 13591338228 13857835056 14213024046 14673001824 14723949747 15590064438 15798478624 17492952672 17773288452 18121784304 18950698728 19187771616 19254395823 19631932996 20387007342 20786752584 23697717936 25091701344 25267598304 25672527764 26659932678 27182676456 27715670112 28426048092 29447899494 31180128876 35546576904 36243568608 37901397456 38508791646 39263865992 40774014684 41573505168 44171849241 47395435872 51345055528 53319865356 54365352912 56852096184 57763187469 58895798988 62360257752 71093153808 75802794912 77017583292 78527731984 81548029368 83147010336 83435715233 88343698482 102690111056 106639730712 108730705824 113704192368 115526374938 117791597976 124720515504 132515547723 142186307616 154035166584 157055463968 163096058736 166871430466 173289562407 176687396964 205380222112 213279461424 227408384736 231052749876 235583195952 249441031008 250307145699 265031095446 308070333168 326192117472 333742860932 346579124814 353374793928 426558922848 462105499752 471166391904 500614291398 530062190892 616140666336 667485721864 693158249628 706749587856 750921437097 924210999504 1001228582796 1060124381784 1334971443728 1386316499256 1413499175712 1501842874194 1848421999008 2002457165592 2120248763568 2252764311291 2669942887456 2772632998512 3003685748388 4004914331184 4240497527136 4505528622582 5545265997024 6007371496776 8009828662368 9011057245164 12014742993552 18022114490328 24029485987104 36044228980656 72088457961312
- Sum of all divisors σ(n): 242668174946400
- Sum of proper divisors (its aliquot sum) s(n): 170579716985088
- 72088457961312 is an abundant number, because the sum of its proper divisors (170579716985088) is greater than itself. Its abundance is 98491259023776
Bases of 72088457961312
- Binary: 100000110010000011001101110110111011111011000002
- Hexadecimal: 0x419066EDDF60
- Base-36: PJWZALNC0
Squares and roots of 72088457961312
- 72088457961312 squared (720884579613122) is 5196745771239847475288761344
- 72088457961312 cubed (720884579613123) is 374625389065649652251032690894995953123328
-
The
square root of 72088457961312 is 8490492.2096019851 -
The
cube root of 72088457961312 is 41618.7065233221
Scales and comparisons
How big is 72088457961312?- 72,088,457,961,312 seconds is equal to 2,292,189 years, 50 weeks, 6 days, 7 hours, 55 minutes, 12 seconds.
-
To count from 1 to 72,088,457,961,312 would take you about five million, seven hundred thirty thousand, four hundred seventy-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 72088457961312 cubic inches would be around 3468.2 feet tall.
Recreational maths with 72088457961312
- 72088457961312 backwards is 21316975488027
- The number of decimal digits it has is: 14
- The sum of 72088457961312's digits is 63
- More coming soon!
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"Number 72088457961312 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 72088457961312 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/72088457961312/
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The information we have on file for 72088457961312 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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