21225712949309088

Names of 21225712949309088

• Cardinal: 21225712949309088 can be written as Twenty-one quadrillion, two hundred twenty-five trillion, seven hundred twelve billion, nine hundred forty-nine million, three hundred nine thousand and eighty-eight.

Scientific notation

• Scientific notation: 2.1225712949309088 × 10¹⁶

Factors of 21225712949309088

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 16367

Divisors of 21225712949309088

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 29 31 32 33 36 44 48 58 62 66 72 87 88 93 96 99 116 124 132 144 151 174 176 186 198 232 248 261 264 279 288 302 319 341 348 352 372 396 453 464 496 522 528 558 604 638 682 696 744 792 899 906 928 957 992 1023 1044 1056 1116 1208 1276 1359 1364 1392 1488 1584 1661 1798 1812 1914 2046 2088 2232 2416 2552 2697 2718 2728 2784 2871 2976 3069 3168 3322 3596 3624 3828 4092 4099 4176 4379 4464 4681 4832 4983 5104 5394 5436 5456 5742 6138 6644 7192 7248 7656 8091 8184 8198 8352 8758 8928 9362 9889 9966 10208 10788 10872 10912 11484 12041 12276 12297 13137 13288 14043 14384 14496 14949 15312 16182 16368 16396 17516 18724 19778 19932 21576 21744 22968 24082 24552 24594 26274 26576 28086 28768 29667 29898 30624 32364 32736 32792 35032 36123 36891 37448 39411 39556 39864 42129 43152 43488 45089 45936 48164 48169 49104 49188 51491 52548 53152 56172 59334 59796 64728 65584 70064 72246 73782 74896 78822 79112 79728 84258 86304 89001 90178 91872 96328 96338 98208 98376 102982 105096 108369 112344 118668 118871 119592 127069 129456 131168 132451 135267 135749 140128 144492 144507 147564 149792 154473 157644 158224 159456 168516 178002 180356 192656 192676 196752 205964 210192 216738 224688 237336 237742 239184 254138 258912 264902 270534 271498 288984 289014 295128 308946 315288 316448 337032 349189 356004 356613 360712 373271 381207 385312 385352 393504 397353 405801 407247 411928 420384 433476 433521 449376 463419 474672 475484 478368 508276 529804 541068 542996 577968 578028 590256 617892 618949 630576 674064 698378 712008 713226 721424 746542 762414 770704 794706 811602 814494 823856 866952 867042 926838 949344 950968 1016552 1047567 1059608 1069839 1082136 1085992 1119813 1143621 1155936 1156056 1180512 1192059 1221741 1235784 1237898 1261152 1307581 1348128 1396756 1397759 1424016 1426452 1442848 1493084 1493239 1524828 1541408 1589412 1623204 1628988 1647712 1733904 1734084 1818191 1853676 1856847 1901936 2033104 2095134 2119216 2139678 2164272 2171984 2239626 2287242 2312112 2384118 2443482 2471568 2475796 2615162 2793512 2795518 2848032 2852904 2986168 2986478 3049656 3142701 3178824 3246408 3257976 3359439 3467808 3468168 3636382 3685001 3707352 3713694 3803872 3841079 3922743 4066208 4105981 4190268 4193277 4238432 4279356 4328544 4343968 4479252 4479717 4574484 4624224 4768236 4886964 4943136 4951592 5230324 5454573 5570541 5587024 5591036 5705808 5972336 5972956 6099312 6285402 6357648 6492816 6515952 6718878 6808439 6936336 7272764 7370002 7414704 7427388 7682158 7845486 8211962 8380536 8386554 8558712 8958504 8959434 9148968 9536472 9773928 9903184 10460648 10824859 10909146 11055003 11141082 11174048 11182072 11411616 11523237 11768229 11944672 11945912 12198624 12317943 12570804 12579831 12715296 12985632 13031904 13437756 13439151 13616878 13872672 14545528 14740004 14829408 14854776 15364316 15690972 16363719 16423924 16761072 16773108 17117424 17917008 17918868 17949521 18297936 19072944 19187419 19547856 19806368 20000101 20425317 20921296 21649718 21818292 22110006 22282164 22364144 23046474 23536458 23891824 24635886 25141608 25159662 26875512 26878302 27233756 29091056 29480008 29709552 30728632 31381944 32474577 32727438 32847848 33165009 33522144 33546216 34234848 34569711 35834016 35837736 35899042 36595872 36953829 38145888 38374838 39095712 40000202 40535011 40850634 41842592 43299436 43636584 44220012 44564328 44728288 46092948 47072916 47783648 49271772 49356059 50283216 50319324 52727539 53751024 53756604 53848563 54467512 56363921 57562257 58182112 58960016 59419104 60000303 61275951 61457264 62763888 64949154 65454876 65695696 66330018 67092432 69139422 71675472 71798084 73907658 76749676 80000404 81070022 81701268 86598872 87273168 88440024 89128656 92185896 94145832 97423731 98543544 98712118 100566432 100638648 105455078 107502048 107513208 107697126 108935024 112727842 115124514 117920032 119073449 120000606 121605033 122551902 122914528 125527776 129898308 130909752 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714440694 720003636 729630198 779389848 789696944 789778924 843640624 844246436 861577008 888409062 901822736 920996112 949095702 952587592 960004848 972840264 980415216 1014550578 1039186464 1061280288 1071661041 1085833298 1106230752 1112870302 1160005858 1182522528 1184545416 1184668386 1240006262 1265460936 1266369654 1292365512 1297120352 1352734104 1381494168 1428881388 1431325711 1440007272 1459260396 1530037829 1558779696 1579393888 1579557848 1628749947 1634553709 1669305453 1687281248 1688492872 1723154016 1740008787 1776818124 1777002579 1803645472 1841992224 1860009393 1898191404 1899554481 1905175184 1920009696 1945680528 1960830432 2029101156 2143322082 2171666596 2225740604 2320011716 2369090832 2369336772 2480012524 2530921872 2532739308 2584731024 2705468208 2762988336 2857762776 2862651422 2880014544 2918520792 3060075658 3117559392 3159115696 3257499894 3269107418 3338610906 3376985744 3480017574 3553636248 3554005158 3720018786 3796382808 3799108962 3810350368 3891361056 4058202312 4286644164 4293977133 4343333192 4451481208 4590113487 4640023432 4738181664 4738673544 4886249841 4903661127 4960025048 5007916359 5061843744 5065478616 5169462048 5220026361 5410936416 5525976672 5580028179 5715525552 5725302844 5760029088 5837041584 6120151316 6120786661 6318231392 6514999788 6538214836 6677221812 6753971488 6960035148 7107272496 7108010316 7440037572 7452764909 7592765616 7598217924 8116404624 8573288328 8587954266 8686666384 8902962416 9180226974 9280046864 9477347088 9772499682 9807322254 9920050096 10015832718 10130957232 10440052722 11160056358 11431051104 11450605688 11674083168 12240302632 12241573322 12881931399 13029999576 13076429672 13354443624 13770340461 13920070296 14214544992 14216020632 14710983381 14880075144 14905529818 15185531232 15196435848 15744582821 16232809248 16830416119 17146576656 17175908532 17373332768 17805924832 17980090799 18360453948 18362359983 18560093728 18954694176 19544999364 19614644508 19840100192 20031665436 20261914464 20880105444 22320112716 22358294727 22901211376 24480605264 24483146644 25763862798 26059999152 26152859344 26708887248 27540680922 27840140592 28432041264 29421966762 29760150288 29811059636 30392871696 31489165642 33660832238 34293153312 34351817064 35960181598 36720907896 36724719966 39089998728 39229289016 40063330872 41760210888 44371097041 44640225432 44716589454 45802422752 47233748463 48961210528 48966293288 50491248357 51527725596 52119998304 52305718688 53417774496 53940272397 55081361844 55087079949 55680281184 56864082528 58843933524 59520300576 59622119272 60785743392 62978331284 67074884181 67321664476 68703634128 71920363196 73441815792 73449439932 78179997456 78458578032 80126661744 81980413999 83520421776 88742194082 89280450864 89433178908 94467496926 97932586576 100982496714 103055451192 107880544794 110162723688 110174159898 117687867048 119244238544 125956662568 133113291123 134149768362 134643328952 137407268256 141701245389 143840726392 146883631584 146898879864 151473745071 156359994912 156917156064 160253323488 161820817191 163960827998 167040843552 177484388164 178560901728 178866357816 188934993852 195865173152 201964993428 206110902384 215761089588 216130182361 220325447376 220348319796 231035712179 235375734096 238488477088 245941241997 251913325136 266226582246 268299536724 269286657904 283402490778 287681452784 293797759728 302947490142 323641634382 327921655996 354968776328 357732715632 377869987704 399339873369 403929986856 412221804768 431522179176 432260364722 440650894752 440696639592 462071424358 470751468192 488082067451 491882483994 503826650272 532453164492 536599073448 538573315808 566804981556 575362905568 587595519456 605894980284 647283268764 648390547083 655843311992 693107136537 709937552656 715465431264 737823725991 755739975408 798679746738 807859973712 863044358352 864520729444 881393279184 924142848716 976164134902 983764967988 1064906328984 1073198146896 1133609963112 1211789960568 1294566537528 1296781094166 1311686623984 1386214273074 1419875105312 1464246202353 1475647451982 1511479950816 1597359493476 1615719947424 1726088716704 1729041458888 1762786558368 1848285697432 1945171641249 1952328269804 1967529935976 2079321409611 2129812657968 2146396293792 2267219926224 2377432005971 2423579921136 2541392833969 2589133075056 2593562188332 2623373247968 2772428546148 2928492404706 2951294903964 3194718986952 3458082917776 3696571394864 3890343282498 3904656539608 3935059871952 4158642819222 4259625315936 4392738607059 4534439852448 4754864011942 4847159842272 5082785667938 5178266150112 5187124376664 5544857092296 5856984809412 5902589807928 6389437973904 6700035653191 6916165835552 7132296017913 7393142789728 7624178501907 7780686564996 7809313079216 7870119743904 8317285638444 8785477214118 9509728023884 10165571335876 10374248753328 11089714184592 11713969618824 11805179615856 12778875947808 13400071306382 14264592035826 15248357003814 15561373129992 15618626158432 16634571276888 17570954428236 19019456047768 20100106959573 20331142671752 20748497506656 21396888053739 22179428369184 22872535505721 23427939237648 23610359231712 26800142612764 28529184071652 30496714007628 31122746259984 33269142553776 35141908856472 38038912095536 40200213919146 40662285343504 42793776107478 45745071011442 46855878475296 53600285225528 57058368143304 60300320878719 60993428015256 62245492519968 66538285107552 70283817712944 73700392185101 76077824191072 80400427838292 81324570687008 85587552214956 91490142022884 107200570451056 114116736286608 120600641757438 121986856030512 140567635425888 147400784370202 160800855676584 171175104429912 182980284045768 214401140902112 221101176555303 228233472573216 241201283514876 243973712061024 294801568740404 321601711353168 342350208859824 365960568091536 442202353110606 482402567029752 589603137480808 643203422706336 663303529665909 684700417719648 731921136183072 884404706221212 964805134059504 1179206274961616 1326607059331818 1768809412442424 1929610268119008 2358412549923232 2653214118663636 3537618824884848 5306428237327272 7075237649769696 10612856474654544 21225712949309088
• Sum of all divisors σ(n): 70804758915072000
• Sum of proper divisors (its aliquot sum) s(n): 49579045965762912
• 21225712949309088 is an abundant number, because the sum of its proper divisors (49579045965762912) is greater than itself. Its abundance is 28353333016453824

Bases of 21225712949309088

• Binary: 1001011011010001010110001101000011100101010111010100000₂
• Hexadecimal: 0x4B68AC6872AEA0
• Base-36: 5SZVXWYCMG0

Squares and roots of 21225712949309088

• 21225712949309088 squared (21225712949309088²) is 450530890206467502929056559391744
• 21225712949309088 cubed (21225712949309088³) is 9562839350319168252261107868580064418322331369472
• The square root of 21225712949309088 is 145690469.6584820815
• The cube root of 21225712949309088 is 276877.3495041047

Scales and comparisons

• 21,225,712,949,309,088 seconds is equal to 674,912,016 years, 18 weeks, 8 hours, 4 minutes, 48 seconds.
• To count from 1 to 21,225,712,949,309,088 would take you about two billion, twenty-four million, seven hundred thirty-six thousand and forty-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 21225712949309088 cubic inches would be around 23073.1 feet tall.

Recreational maths with 21225712949309088

• 21225712949309088 backwards is 88090394921752212
• 21225712949309088 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21225712949309088's digits is 72
• More coming soon!