137561012152289856

Names of 137561012152289856

• Cardinal: 137561012152289856 can be written as One hundred thirty-seven quadrillion, five hundred sixty-one trillion, twelve billion, one hundred fifty-two million, two hundred eighty-nine thousand, eight hundred fifty-six.

Scientific notation

• Scientific notation: 1.37561012152289856 × 10¹⁷

Factors of 137561012152289856

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1286

Divisors of 137561012152289856

• Number of divisors d(n): 945
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 144 156 169 186 192 208 234 248 279 288 312 338 372 403 416 468 496 507 558 576 624 676 744 806 832 936 961 992 1014 1116 1209 1237 1248 1352 1488 1521 1612 1872 1922 1984 2028 2232 2418 2474 2496 2704 2883 2976 3042 3224 3627 3711 3744 3844 4056 4464 4836 4948 5239 5408 5766 5952 6084 6448 7254 7422 7488 7688 8112 8649 8928 9672 9896 10478 10816 11133 11532 12168 12493 12896 14508 14844 15376 15717 16081 16224 17298 17856 19344 19792 20956 22266 23064 24336 24986 25792 29016 29688 29791 30752 31434 32162 32448 34596 37479 38347 38688 39584 41912 44532 46128 47151 48243 48672 49972 58032 59376 59582 61504 62868 64324 69192 74958 76694 77376 79168 83824 89064 89373 92256 94302 96486 97344 99944 112437 115041 116064 118752 119164 125736 128648 138384 144729 149916 153388 162409 167648 178128 178746 184512 188604 192972 199888 209053 224874 230082 232128 237504 238328 251472 257296 268119 276768 289458 299832 306776 324818 335296 345123 356256 357492 377208 385944 387283 399776 418106 449748 460164 476656 487227 498511 502944 514592 536238 553536 578916 599664 613552 627159 649636 690246 712512 714984 754416 771888 774566 799552 836212 899496 920328 923521 953312 974454 997022 1005888 1029184 1072476 1157832 1161849 1188757 1199328 1227104 1254318 1299272 1380492 1429968 1461681 1495533 1508832 1530169 1543776 1549132 1672424 1798992 1840656 1847042 1881477 1906624 1948908 1994044 2144952 2315664 2323698 2377514 2398656 2454208 2508636 2598544 2760984 2770563 2859936 2923362 2991066 3017664 3060338 3087552 3098264 3344848 3485547 3566271 3597984 3681312 3694084 3762954 3897816 3988088 4289904 4486599 4590507 4631328 4647396 4755028 5017272 5034679 5197088 5521968 5541126 5719872 5846724 5982132 6120676 6196528 6480643 6689696 6971094 7132542 7195968 7362624 7388168 7525908 7795632 7976176 8311689 8579808 8973198 9181014 9262656 9294792 9510056 10034544 10069358 10394176 10698813 11043936 11082252 11693448 11964264 12005773 12241352 12393056 12961286 13379392 13771521 13942188 14265084 14776336 15051816 15104037 15453841 15591264 15952352 16623378 17159616 17946396 18362028 18589584 19020112 19441929 19892197 20069088 20138716 21397626 22087872 22164504 23386896 23928528 24011546 24482704 24786112 25922572 27543042 27884376 28530168 29552672 30103632 30208074 30907682 31182528 31904704 33246756 35892792 36017319 36724056 36851467 37179168 38040224 38883858 39784394 40138176 40277432 42795252 44329008 45312111 46361523 46773792 47435239 47857056 48023092 48965408 51845144 55086084 55768752 57060336 58325787 59105344 59676591 60207264 60416148 61815364 66493512 71785584 72034638 73448112 73702934 74358336 76080448 77767716 79568788 80554864 85590504 88658016 90624222 92723046 93547584 94870478 95714112 96046184 97930816 103690288 108051957 110172168 110554401 111537504 114120672 116651574 119353182 120414528 120832296 123630728 132987024 139084569 142305717 143571168 144069276 146896224 147405868 155535432 156075049 159137576 161109728 171181008 177316032 179029773 181248444 185446092 189740956 192092368 200899933 207380576 216103914 220344336 221108802 223075008 228241344 233303148 238706364 241664592 247261456 258598561 265974048 278169138 284611434 287142336 288138552 293792448 294811736 311070864 312150098 318275152 322219456 331663203 342362016 358059546 362496888 370892184 379481912 384184736 401799866 414761152 426917151 432207828 440688672 442217604 466606296 468225147 477412728 479069071 483329184 494522912 517197122 531948096 556338276 569222868 576277104 589623472 602699799 616658107 622141728 624300196 636550304 663326406 684724032 716119092 724993776 741784368 758963824 768369472 775795683 803599732 853834302 864415656 881377344 884435208 933212592 936450294 954825456 958138142 966658368 989045824 1034394244 1112676552 1138445736 1142395477 1152554208 1179246944 1205399598 1233316214 1244283456 1248600392 1273100608 1326652812 1404675441 1432238184 1437207213 1449987552 1470492409 1483568736 1517927648 1551591366 1607199464 1707668604 1728831312 1768870416 1808099397 1849974321 1866425184 1872900588 1909650912 1916276284 2068788488 2225353104 2276891472 2284790954 2305108416 2327387049 2358493888 2410799196 2466632428 2497200784 2653305624 2809350882 2864476368 2874414426 2899975104 2940984818 2967137472 3035855296 3103182732 3214398928 3415337208 3427186431 3457662624 3537740832 3616198794 3699948642 3732850368 3745801176 3819301824 3832552568 4137576976 4311621639 4411477227 4450706208 4553782944 4569581908 4654774098 4821598392 4933264856 4994401568 5306611248 5549922963 5618701764 5728952736 5748828852 5881969636 6206365464 6227897923 6428797856 6830674416 6854372862 6915325248 7075481664 7232397588 7399897284 7491602352 7665105136 8016555391 8275153952 8623243278 8822954454 8901412416 9107565888 9139163816 9309548196 9643196784 9866529712 9988803136 10281559293 10613222496 11099845926 11237403528 11457905472 11497657704 11763939272 12412730928 12455795846 12857595712 13234431681 13661348832 13708745724 14464795176 14799794568 14851141201 14983204704 15330210272 16033110782 16550307904 17246486556 17645908908 18278327632 18619096392 18683693769 19116401317 19286393568 19733059424 20563118586 21226444992 22199691852 22474807056 22995315408 23527878544 24049666173 24825461856 24911591692 26468863362 27322697664 27417491448 28929590352 29599589136 29702282402 29966409408 30660420544 32066221564 34492973112 35291817816 36556655264 37238192784 37367387538 38232802634 38572787136 39466118848 41126237172 44399383704 44553423603 44949614112 45585264679 45990630816 47055757088 48099332346 49650923712 49823183384 52937726724 54834982896 56051081307 57349203951 57859180704 59199178272 59404564804 64132443128 68985946224 70583635632 72148998519 73113310528 74476385568 74734775076 76465605268 82252474344 88798767408 89106847206 89899228224 91170529358 91981261632 94111514176 96198664692 99646366768 105875453448 109669965792 112102162614 114698407902 115718361408 118398356544 118809129608 128264886256 133660270809 136755794037 137971892448 141167271264 144297997038 148952771136 149469550152 152931210536 164504948688 172047611853 177597534816 178213694412 182341058716 192397329384 193064835613 199292733536 211750906896 219339931584 224204325228 229396815804 237618259216 248513217121 256529772512 267320541618 273511588074 275943784896 282334542528 288595994076 298939100304 305862421072 329009897376 344095223706 355195069632 356427388824 364682117432 384794658768 386129671226 398585467072 410267382111 423501813792 448408650456 458793631608 475236518432 497026434242 513059545024 534641083236 547023176148 577191988152 579194506839 592608440827 597878200608 611724842144 658019794752 688190447412 712854777648 729364234864 745539651363 769589317536 772259342452 820534764222 847003627584 896817300912 917587263216 950473036864 994052868484 1069282166472 1094046352296 1154383976304 1158389013678 1185216881654 1195756401216 1223449684288 1376380894824 1413143205049 1425709555296 1458728469728 1491079302726 1539178635072 1544518684904 1641069528444 1737583520517 1777825322481 1793634601824 1835174526432 1988105736968 2138564332944 2188092704592 2236618954089 2308767952608 2316778027356 2370433763308 2752761789648 2826286410098 2851419110592 2917456939456 2982158605452 3089037369808 3282139056888 3475167041034 3555650644962 3587269203648 3670349052864 3976211473936 4239429615147 4277128665888 4376185409184 4473237908178 4617535905216 4633556054712 4740867526616 5333475967443 5505523579296 5652572820196 5964317210904 6178074739616 6564278113776 6950334082068 7111301289924 7703909730751 7952422947872 8478859230294 8554257331776 8752370818368 8946475816356 9267112109424 9481735053232 10666951934886 11011047158592 11305145640392 11928634421808 12356149479232 12718288845441 13128556227552 13900668164136 14222602579848 15407819461502 15904845895744 16957718460588 17892951632712 18370861665637 18534224218848 18963470106464 21333903869772 22610291280784 23111729192253 23857268843616 25436577690882 26257112455104 27801336328272 28445205159696 30815638923004 33915436921176 35785903265424 36741723331274 37068448437696 37926940212928 42667807739544 45220582561568 46223458384506 47714537687232 50873155381764 55112584996911 55602672656544 56890410319392 61631277846008 67830873842352 69335187576759 71571806530848 73483446662548 85335615479088 90441165123136 92446916769012 101746310763528 110225169993822 111205345313088 113780820638784 123262555692016 135661747684704 138670375153518 143143613061696 146966893325096 165337754990733 170671230958176 184893833538024 203492621527056 220450339987644 238821201653281 246525111384032 271323495369408 277340750307036 293933786650192 330675509981466 341342461916352 369787667076048 406985243054112 440900679975288 477642403306562 493050222768064 554681500614072 587867573300384 661351019962932 716463604959843 739575334152096 813970486108224 881801359950576 955284806613124 1109363001228144 1175735146600768 1322702039925864 1432927209919686 1479150668304192 1763602719901152 1910569613226248 2149390814879529 2218726002456288 2645404079851728 2865854419839372 3527205439802304 3821139226452496 4298781629759058 4437452004912576 5290808159703456 5731708839678744 7642278452904992 8597563259518116 10581616319406912 11463417679357488 15284556905809984 17195126519036232 22926835358714976 34390253038072464 45853670717429952 68780506076144928 137561012152289856
• Sum of all divisors σ(n): 441546035959268955
• Sum of proper divisors (its aliquot sum) s(n): 303985023806979099
• 137561012152289856 is an abundant number, because the sum of its proper divisors (303985023806979099) is greater than itself. Its abundance is 166424011654689243

Bases of 137561012152289856

• Binary: 111101000101101110000001100000000010001111100101001000000₂
• Hexadecimal: 0x1E8B7030047CA40
• Base-36: 11MHB4KJE340

Squares and roots of 137561012152289856

• 137561012152289856 squared (137561012152289856²) is 18923032064362437440580744240500736
• 137561012152289856 cubed (137561012152289856³) is 2603071443763931857278115375071502727663518453334016
• 137561012152289856 is a perfect square number. Its square root is 370892184
• The cube root of 137561012152289856 is 516216.3878110961

Scales and comparisons

• 137,561,012,152,289,856 seconds is equal to 4,374,014,682 years, 15 weeks, 2 days, 4 hours, 57 minutes, 36 seconds.
• To count from 1 to 137,561,012,152,289,856 would take you about thirteen billion, one hundred twenty-two million, forty-four thousand and forty-six 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 137561012152289856 cubic inches would be around 43018 feet tall.

Recreational maths with 137561012152289856

• 137561012152289856 backwards is 658982251210165731
• 137561012152289856 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137561012152289856's digits is 72
• More coming soon!