137072066992896
137,072,066,992,896 is an even composite number composed of six prime numbers multiplied together.
What does the number 137072066992896 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
137072066992896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137072066992896:
28 × 3 × 73 × 172 × 31 × 2412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 17 × 17 × 31 × 241 × 241)See below for interesting mathematical facts about the number 137072066992896 from the Numbermatics database.
Names of 137072066992896
- Cardinal: 137072066992896 can be written as One hundred thirty-seven trillion, seventy-two billion, sixty-six million, nine hundred ninety-two thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37072066992896 × 1014
Factors of 137072066992896
Divisors of 137072066992896
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 32 34 42 48 49 51 56 62 64 68 84 93 96 98 102 112 119 124 128 136 147 168 186 192 196 204 217 224 238 241 248 256 272 289 294 336 343 357 372 384 392 408 434 448 476 482 496 527 544 578 588 651 672 686 714 723 744 768 784 816 833 867 868 896 952 964 992 1029 1054 1088 1156 1176 1302 1344 1372 1428 1446 1488 1519 1568 1581 1632 1666 1687 1734 1736 1792 1904 1928 1984 2023 2058 2108 2176 2312 2352 2499 2604 2688 2744 2856 2892 2976 3038 3136 3162 3264 3332 3374 3468 3472 3689 3808 3856 3968 4046 4097 4116 4216 4352 4557 4624 4704 4998 5061 5208 5376 5488 5712 5784 5831 5952 6069 6076 6272 6324 6528 6664 6748 6936 6944 7378 7471 7616 7712 7936 8092 8194 8232 8432 8959 9114 9248 9408 9996 10122 10416 10633 10976 11067 11424 11568 11662 11809 11904 12138 12152 12291 12544 12648 13056 13328 13496 13872 13888 14161 14756 14942 15232 15424 16184 16388 16464 16864 17493 17918 18228 18496 18816 19992 20244 20832 21266 21952 22134 22413 22848 23136 23324 23618 23808 24276 24304 24582 25296 25823 26656 26877 26992 27744 27776 28322 28679 29512 29884 30464 30848 31899 32368 32776 32928 33728 34986 35427 35836 36456 36992 37632 39984 40488 41664 42483 42532 43904 44268 44826 45696 46272 46648 47236 48552 48608 49164 50592 51646 52297 53312 53754 53984 55488 55552 56644 57358 58081 59024 59768 61696 62713 63798 64736 65552 65856 67456 69649 69972 70854 71672 72912 73984 77469 79968 80976 82663 83328 84966 85064 86037 87808 88536 89652 91392 92544 93296 94472 97104 97216 98328 99127 101184 103292 104594 106624 107508 107968 110976 113288 114716 116162 118048 119536 125426 127007 127596 129472 131104 131712 134912 139298 139944 141708 143344 145824 154938 156891 159936 161952 165326 166656 169932 170128 172074 174243 177072 179304 180761 185088 186592 188139 188944 194208 194432 196656 198254 200753 202368 206584 208947 209188 213248 215016 215936 221952 226576 229432 232324 236096 239072 247989 250852 254014 255192 258944 262208 263424 278596 279888 283416 286688 291648 297381 309876 313782 319872 323904 330652 339864 340256 344148 348486 354144 358608 361522 366079 373184 376278 377888 381021 388416 388864 393312 396508 401506 404736 406567 413168 417894 418376 430032 431872 438991 453152 458864 464648 472192 478144 487543 495978 501704 508028 510384 517888 524416 542283 557192 559776 566832 573376 583296 594762 602259 619752 627564 639744 647808 661304 679728 680512 688296 696972 708288 717216 723044 732158 746368 752556 755776 762042 776832 786624 793016 803012 813134 826336 835788 836752 860064 877982 889049 906304 917728 929296 944384 956288 975086 987377 991956 1003408 1016056 1020768 1048832 1084566 1098237 1114384 1119552 1133664 1146752 1166592 1189524 1204518 1219701 1239504 1255128 1295616 1316973 1322608 1359456 1361024 1376592 1393944 1405271 1416576 1434432 1446088 1462629 1464316 1492736 1505112 1511552 1524084 1553664 1573248 1586032 1606024 1626268 1652672 1671576 1673504 1720128 1755964 1778098 1800511 1812608 1835456 1858592 1912576 1950172 1974754 1983912 2006816 2032112 2041536 2159119 2169132 2196474 2228768 2239104 2267328 2293504 2379048 2409036 2439402 2479008 2510256 2562553 2633946 2645216 2667147 2718912 2722048 2753184 2787888 2810542 2833152 2845969 2868864 2892176 2925258 2928632 2962131 3010224 3023104 3048168 3072937 3146496 3172064 3212048 3252536 3305344 3343152 3347008 3412801 3440256 3511928 3556196 3601022 3625216 3670912 3717184 3900344 3949508 3967824 4013632 4064224 4083072 4215813 4318238 4338264 4392948 4457536 4478208 4534656 4758096 4818072 4878804 4958016 5020512 5125106 5267892 5290432 5334294 5401533 5437824 5506368 5575776 5621084 5691938 5737728 5784352 5850516 5857264 5924262 6020448 6096336 6145874 6223343 6344128 6424096 6477357 6505072 6610688 6686304 6694016 6825602 6880512 6911639 7023856 7112392 7202044 7341824 7434368 7687659 7800688 7899016 7935648 8027264 8128448 8166144 8431626 8537907 8636476 8676528 8785896 8915072 9069312 9218811 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2901855936 2938433952 2962311268 2999651326 3057869696 3096414272 3122086074 3222798528 3226515712 3289940164 3385498592 3428172944 3642433753 3705451638 3759931616 3824982336 3869141248 3917911936 4064043732 4162781432 4182086496 4234801872 4297064704 4443466902 4499476989 4586804544 4644621408 4779527424 4839773568 4934910246 4940602184 5078247888 5099976448 5142259416 5308138752 5418724976 5576115328 5639897424 5646402496 5757395287 5803711872 5876867904 5924622536 5999302652 6115739392 6192828544 6244172148 6445597056 6579880328 6770997184 6856345888 7284867506 7410903276 7519863232 7649964672 7835823872 8128087464 8325562864 8364172992 8469603744 8886933804 8998953978 9173609088 9289242816 9679547136 9869820492 9881204368 10156495776 10284518832 10498779641 10837449952 10927301259 11152230656 11279794848 11292804992 11514790574 11607423744 11753735808 11849245072 11998605304 12385657088 12488344296 12891194112 13159760656 13541994368 13712691776 14569735012 14821806552 15039726464 15299929344 16256174928 16651125728 16728345984 16939207488 17272185861 17773867608 17997907956 18347218176 18578485632 19739640984 19762408736 20312991552 20569037664 20997559282 21674899904 21854602518 22559589696 22585609984 23029581148 23507471616 23698490144 23997210608 24976688592 25497036271 26319521312 27083988736 27425383552 29139470024 29643613104 30079452928 31496338923 32512349856 33302251456 33456691968 33878414976 34544371722 35547735216 35995815912 37156971264 39479281968 39524817472 40625983104 41138075328 41995118564 43349799808 43709205036 45119179392 46059162296 47396980288 47994421216 49953377184 50994072542 52639042624 54850767104 58278940048 59287226208 62992677846 65024699712 66604502912 67756829952 69088743444 71095470432 71991631824 76491108813 78958563936 79049634944 81251966208 82276150656 83990237128 86699599616 87418410072 90238358784 92118324592 94793960576 95988842432 99906754368 101988145084 105278085248 116557880096 118574452416 125985355692 130049399424 133209005824 138177486888 142190940864 143983263648 152982217626 157917127872 158099269888 164552301312 167980474256 174836820144 178479253897 184236649184 189587921152 191977684864 199813508736 203976290168 210556170496 233115760192 237148904832 251970711384 260098798848 276354973776 284381881728 287966527296 305964435252 315834255744 335960948512 349673640288 356958507794 368473298368 383955369728 399627017472 407952580336 466231520384 474297809664 503941422768 535437761691 552709947552 568763763456 575933054592 611928870504 631668511488 671921897024 699347280576 713917015588 736946596736 815905160672 932463040768 1007882845536 1070875523382 1105419895104 1151866109184 1223857741008 1343843794048 1398694561152 1427834031176 1473893193472 1631810321344 2015765691072 2141751046764 2210839790208 2447715482016 2687687588096 2797389122304 2855668062352 3263620642688 4031531382144 4283502093528 4421679580416 4895430964032 5711336124704 6527241285376 8063062764288 8567004187056 9790861928064 11422672249408 17134008374112 19581723856128 22845344498816 34268016748224 45690688997632 68536033496448 137072066992896
- Sum of all divisors σ(n): 468456308275200
- Sum of proper divisors (its aliquot sum) s(n): 331384241282304
- 137072066992896 is an abundant number, because the sum of its proper divisors (331384241282304) is greater than itself. Its abundance is 194312174289408
Bases of 137072066992896
- Binary: 111110010101010100100111101110010011011000000002
- Hexadecimal: 0x7CAA93DC9B00
- Base-36: 1CL61DLATC
Squares and roots of 137072066992896
- 137072066992896 squared (1370720669928962) is 18788751549704969072114466816
- 137072066992896 cubed (1370720669928963) is 2575413011134038059876697926783727499739136
-
The
square root of 137072066992896 is 11707778.0553312505 -
The
cube root of 137072066992896 is 51560.4050695513
Scales and comparisons
How big is 137072066992896?- 137,072,066,992,896 seconds is equal to 4,358,467 years, 38 weeks, 2 days, 20 hours, 41 minutes, 36 seconds.
-
To count from 1 to 137,072,066,992,896 would take you about ten million, eight hundred ninety-six thousand, one hundred sixty-nine 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 137072066992896 cubic inches would be around 4296.7 feet tall.
Recreational maths with 137072066992896
- 137072066992896 backwards is 698299660270731
- The number of decimal digits it has is: 15
- The sum of 137072066992896's digits is 75
- More coming soon!
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"Number 137072066992896 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 137072066992896 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/137072066992896/
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The information we have on file for 137072066992896 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 137072066992896, math, Factors of 137072066992896, curriculum, school, college, exams, university, Prime factorization of 137072066992896, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, seventy-two billion, sixty-six million, nine hundred ninety-two thousand, eight hundred ninety-six.