137833428096
137,833,428,096 is an even composite number composed of seven prime numbers multiplied together.
137833428096 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137833428096:
27 × 32 × 72 × 13 × 31 × 73 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 31 × 73 × 83)See below for interesting mathematical facts about the number 137833428096 from the Numbermatics database.
Names of 137833428096
- Cardinal: 137833428096 can be written as One hundred thirty-seven billion, eight hundred thirty-three million, four hundred twenty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.37833428096 × 1011
Factors of 137833428096
Divisors of 137833428096
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 49 52 56 62 63 64 72 73 78 83 84 91 93 96 98 104 112 117 124 126 128 144 146 147 156 166 168 182 186 192 196 208 217 219 224 234 248 249 252 273 279 288 292 294 312 332 336 364 372 384 392 403 416 434 438 441 448 468 496 498 504 511 546 558 576 581 584 588 624 637 651 657 664 672 728 744 747 784 806 819 832 868 876 882 896 936 949 992 996 1008 1022 1079 1092 1116 1152 1162 1168 1176 1209 1248 1274 1302 1314 1328 1344 1456 1488 1494 1519 1533 1568 1612 1638 1664 1736 1743 1752 1764 1872 1898 1911 1953 1984 1992 2016 2044 2158 2184 2232 2263 2324 2336 2352 2418 2496 2548 2573 2604 2628 2656 2688 2821 2847 2912 2976 2988 3038 3066 3136 3224 3237 3276 3472 3486 3504 3528 3577 3627 3744 3796 3822 3906 3968 3984 4032 4067 4088 4316 4368 4464 4526 4557 4599 4648 4672 4704 4836 4992 5096 5146 5208 5229 5256 5312 5642 5694 5733 5824 5952 5976 6059 6076 6132 6272 6448 6474 6552 6643 6789 6944 6972 7008 7056 7154 7254 7488 7553 7592 7644 7719 7812 7968 8064 8134 8176 8463 8541 8632 8736 8928 9052 9114 9198 9296 9344 9408 9672 9711 10192 10292 10416 10458 10512 10624 10731 11284 11388 11466 11648 11904 11952 12118 12152 12201 12264 12896 12948 13104 13286 13578 13671 13888 13944 14016 14112 14308 14508 14976 15106 15184 15288 15438 15624 15841 15936 16268 16352 16926 17082 17264 17472 17856 18011 18104 18177 18228 18396 18592 18816 19344 19422 19747 19929 20367 20384 20584 20832 20916 21024 21462 22568 22659 22776 22932 23157 23904 24236 24304 24402 24528 25389 25792 25896 26208 26572 27156 27342 27776 27888 28032 28224 28616 29016 29419 30212 30368 30576 30876 31248 31682 31872 32193 32536 32704 33449 33852 34164 34528 34944 35712 36022 36208 36354 36456 36603 36792 37184 38688 38844 39494 39858 40734 40768 41168 41664 41832 42048 42413 42924 45136 45318 45552 45864 46314 46501 47523 47808 48472 48608 48804 49056 50778 51584 51792 52416 52871 53144 54033 54312 54531 54684 55776 56448 57232 58032 58838 59241 59787 60424 60736 61152 61752 62496 63364 64386 65072 65408 66898 67704 67977 68328 69056 72044 72416 72708 72912 73206 73584 74368 77376 77688 78767 78988 79716 81468 81536 82336 83328 83664 84096 84826 85848 88257 90272 90636 91104 91728 92628 93002 95046 95616 96944 97216 97608 98112 100347 101556 103584 104832 105742 106288 108066 108624 109062 109368 110887 111552 114464 116064 117676 118482 119574 120848 121472 122304 123504 124992 126077 126728 127239 128772 130144 133796 135408 135954 136656 138112 139503 142569 144088 144832 145416 145824 146412 147168 154752 155376 157534 157976 158613 159432 162099 162936 164672 167328 169652 171696 176514 177723 180544 181272 182208 183456 185256 186004 187829 190092 193888 194432 195216 196224 200694 203112 205933 207168 211484 212576 216132 217248 218124 218736 221774 223104 228928 232128 234143 235352 236301 236964 239148 241696 244608 247008 249984 252154 253456 254478 257544 260288 264771 267592 270816 271908 273312 279006 285138 288176 289664 290832 291648 292824 294336 296891 301041 310752 315068 315952 317226 318864 324198 325872 329344 332661 334656 339304 343392 353028 355446 361088 362544 364416 366912 370512 372008 375658 378231 380184 381717 387776 390432 401388 406224 411866 414336 418509 422968 425152 432264 434496 436248 437472 443548 457856 464256 468286 470704 472602 473928 475839 478296 483392 494016 504308 506912 508956 515088 520576 529542 535184 541632 543816 546624 551369 558012 563487 570276 576352 581664 583296 585648 588672 593782 602082 617799 621504 630136 631904 634452 637728 648396 651744 665322 669312 678608 686784 702429 706056 708903 710892 725088 733824 741024 744016 751316 756462 760368 763434 775552 780864 802776 812448 823732 837018 845936 850304 864528 868992 872496 874944 887096 890673 936572 941408 945204 947856 951678 956592 966784 988032 997983 1008616 1013824 1017912 1030176 1059084 1070368 1083264 1087632 1093248 1102738 1116024 1126974 1134693 1140552 1152704 1163328 1171296 1187564 1204164 1235598 1243008 1260272 1263808 1268904 1275456 1296792 1303488 1314803 1330644 1357216 1373568 1404858 1412112 1417806 1421784 1441531 1450176 1482048 1488032 1502632 1512924 1520736 1526868 1561728 1605552 1624896 1639001 1647464 1654107 1674036 1690461 1691872 1729056 1744992 1749888 1774192 1781346 1853397 1873144 1882816 1890408 1895712 1903356 1913184 1995966 2017232 2027648 2035824 2060352 2107287 2118168 2140736 2175264 2205476 2232048 2253948 2269386 2281104 2305408 2326656 2342592 2375128 2408328 2441777 2471196 2520544 2527616 2537808 2550912 2593584 2606976 2629606 2661288 2672019 2714432 2809716 2824224 2835612 2843568 2883062 2900352 2964096 2976064 3005264 3025848 3041472 3053736 3211104 3249792 3278002 3294928 3308214 3348072 3380922 3383744 3458112 3489984 3548384 3562692 3706794 3746288 3765632 3780816 3791424 3806712 3826368 3859583 3944409 3991932 4034464 4071648 4120704 4214574 4236336 4281472 4324593 4350528 4410952 4464096 4507896 4538772 4562208 4685184 4750256 4816656 4883554 4917003 4942392 4962321 5041088 5075616 5187168 5259212 5322576 5344038 5428864 5619432 5648448 5671224 5687136 5766124 5952128 6010528 6051696 6082944 6107472 6422208 6556004 6589856 6616428 6696144 6761844 6767488 6916224 6979968 7096768 7125384 7325331 7413588 7492576 7561632 7582848 7613424 7652736 7719166 7888818 7983864 8068928 8143296 8429148 8472672 8649186 8701056 8821904 8928192 9015792 9077544 9124416 9203621 9500512 9633312 9767108 9834006 9884784 9924642 10082176 10151232 10374336 10518424 10645152 10688076 11238864 11296896 11342448 11374272 11532248 11578749 11833227 12021056 12103392 12214944 12844416 12973779 13112008 13179712 13232856 13392288 13523688 14193536 14250768 14650662 14751009 14827176 14985152 15123264 15226848 15438332 15777636 15967728 16137856 16286592 16858296 16945344 17092439 17298372 17643808 17856384 18031584 18155088 18248832 18407242 19001024 19266624 19534216 19668012 19769568 19849284 20302464 20748672 21036848 21290304 21376152 21975993 22477728 22684896 22748544 23064496 23157498 23666454 24042112 24206784 24429888 25947558 26224016 26359424 26465712 26784576 27047376 27610863 28501536 29301324 29502018 29654352 29970304 30246528 30453696 30876664 31555272 31935456 33716592 33890688 34184878 34596744 34736247 35287616 36063168 36310176 36814484 38002048 38533248 39068432 39336024 39539136 39698568 42073696 42580608 42752304 43951986 44955456 45369792 46128992 46314996 47332908 48413568 48859776 51277317 51895116 52448032 52931424 53569152 54094752 55221726 57003072 58602648 59004036 59308704 60907392 61753328 63110544 63870912 67433184 68369756 69193488 69472494 70575232 72126336 72620352 73628968 78136864 78672048 79078272 79397136 82832589 84147392 85504608 87903972 89910912 90739584 92257984 92629992 94665816 102554634 103790232 104896064 105862848 108189504 110443452 114006144 117205296 118008072 118617408 119647073 123506656 126221088 127741824 134866368 136739512 138386976 138944988 145240704 147257936 153831951 156273728 157344096 158794272 165665178 168294784 171009216 175807944 184515968 185259984 189331632 205109268 207580464 209792128 211725696 216379008 220886904 234410592 236016144 237234816 239294146 247013312 252442176 269732736 273479024 276773952 277889976 294515872 307663902 312547456 314688192 317588544 331330356 342018432 351615888 358941219 370519968 378663264 410218536 415160928 441773808 468821184 472032288 478588292 494026624 504884352 546958048 553547904 555779952 589031744 615327804 629376384 635177088 662660712 703231776 717882438 741039936 757326528 820437072 830321856 883547616 937642368 944064576 957176584 1076823657 1093916096 1111559904 1178063488 1230655608 1325321424 1406463552 1435764876 1482079872 1514653056 1640874144 1660643712 1767095232 1888129152 1914353168 2153647314 2187832192 2223119808 2461311216 2650642848 2812927104 2871529752 3281748288 3534190464 3828706336 4307294628 4446239616 4922622432 5301285696 5743059504 6563496576 7657412672 8614589256 9845244864 10602571392 11486119008 15314825344 17229178512 19690489728 22972238016 34458357024 45944476032 68916714048 137833428096
- Sum of all divisors σ(n): 526195837440
- Sum of proper divisors (its aliquot sum) s(n): 388362409344
- 137833428096 is an abundant number, because the sum of its proper divisors (388362409344) is greater than itself. Its abundance is 250528981248
Bases of 137833428096
- Binary: 100000000101111000001100110100100000002
- Hexadecimal: 0x2017833480
- Base-36: 1RBIGPS0
Squares and roots of 137833428096
- 137833428096 squared (1378334280962) is 18998053900695202185216
- 137833428096 cubed (1378334280963) is 2618566896285404474808151610228736
-
The
square root of 137833428096 is 371259.2464787915 -
The
cube root of 137833428096 is 5165.5692240005
Scales and comparisons
How big is 137833428096?- 137,833,428,096 seconds is equal to 4,382 years, 35 weeks, 1 day, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,833,428,096 would take you about eight thousand, seven hundred sixty-five 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 137833428096 cubic inches would be around 430.5 feet tall.
Recreational maths with 137833428096
- 137833428096 backwards is 690824338731
- The number of decimal digits it has is: 12
- The sum of 137833428096's digits is 54
- More coming soon!
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The information we have on file for 137833428096 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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