468828331868160

Names of 468828331868160

• Cardinal: 468828331868160 can be written as Four hundred sixty-eight trillion, eight hundred twenty-eight billion, three hundred thirty-one million, eight hundred sixty-eight thousand, one hundred sixty.

Scientific notation

• Scientific notation: 4.6882833186816 × 10¹⁴

Factors of 468828331868160

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1642

Divisors of 468828331868160

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 121 128 132 144 160 165 176 180 192 198 220 240 242 256 264 288 320 330 352 360 363 384 396 440 480 484 495 512 528 576 605 640 660 704 720 726 768 792 880 960 968 990 1024 1056 1089 1152 1210 1280 1320 1408 1440 1452 1536 1584 1621 1760 1815 1920 1936 1980 2048 2112 2178 2304 2420 2560 2640 2816 2880 2904 3072 3168 3242 3520 3630 3840 3872 3960 4096 4224 4356 4608 4840 4863 5120 5280 5445 5632 5760 5808 6144 6336 6484 7040 7260 7680 7744 7920 8105 8192 8448 8712 9216 9680 9726 10240 10560 10890 11264 11520 11616 12288 12672 12968 14080 14520 14589 15360 15488 15840 16210 16384 16896 17424 17831 18432 19360 19452 20480 21120 21780 22528 23040 23232 24315 24576 25344 25936 28160 29040 29178 30720 30976 31680 32420 32768 33792 34848 35662 36864 38720 38904 40960 42240 43560 45056 46080 46464 48630 49152 50688 51872 53493 56320 58080 58356 61440 61952 63360 64840 67584 69696 71324 72945 73728 77440 77808 81920 84480 87120 89155 90112 92160 92928 97260 98304 101376 103744 106986 112640 116160 116712 122880 123904 126720 129680 135168 139392 142648 145890 147456 154880 155616 160479 163840 168960 174240 178310 180224 184320 185856 194520 196141 202752 207488 213972 225280 232320 233424 245760 247808 253440 259360 267465 270336 278784 285296 291780 294912 309760 311232 320958 337920 348480 356620 360448 368640 371712 389040 392282 405504 414976 427944 450560 464640 466848 491520 495616 506880 518720 534930 540672 557568 570592 583560 588423 619520 622464 641916 675840 696960 713240 737280 743424 778080 784564 802395 811008 829952 855888 901120 929280 933696 980705 991232 1013760 1037440 1069860 1081344 1115136 1141184 1167120 1176846 1239040 1244928 1283832 1351680 1393920 1426480 1474560 1486848 1556160 1569128 1604790 1622016 1659904 1711776 1765269 1802240 1858560 1867392 1961410 1982464 2027520 2074880 2139720 2230272 2282368 2334240 2353692 2478080 2489856 2567664 2627641 2703360 2787840 2852960 2942115 2973696 3112320 3138256 3209580 3244032 3319808 3423552 3530538 3717120 3734784 3922820 3964928 4055040 4149760 4279440 4460544 4564736 4668480 4707384 4956160 4979712 5135328 5255282 5406720 5575680 5705920 5884230 5947392 6224640 6276512 6419160 6639616 6847104 7061076 7434240 7469568 7845640 7882923 8110080 8299520 8558880 8826345 8921088 9129472 9336960 9414768 9912320 9959424 10270656 10510564 11151360 11411840 11768460 11894784 12449280 12553024 12838320 13138205 13279232 13694208 14122152 14868480 14939136 15691280 15765846 16220160 16599040 17117760 17652690 17842176 18258944 18673920 18829536 19824640 19918848 20541312 21021128 22302720 22823680 23536920 23648769 24898560 25106048 25676640 26276410 26558464 27388416 28244304 28904051 29736960 29878272 31382560 31531692 33198080 34235520 35305380 35684352 36517888 37347840 37659072 39414615 39837696 41082624 42042256 44605440 45647360 47073840 47297538 49797120 50212096 51353280 52552820 53116928 54776832 56488608 57808102 59473920 59756544 62765120 63063384 66396160 68471040 70610760 73035776 74695680 75318144 78829230 79675392 82165248 84084512 86712153 89210880 91294720 94147680 94595076 99594240 100424192 102706560 105105640 109553664 112977216 115616204 118243845 119513088 125530240 126126768 132792320 136942080 141221520 144520255 146071552 149391360 150636288 157658460 159350784 164330496 168169024 173424306 178421760 182589440 188295360 189190152 199188480 200848384 205413120 210211280 219107328 225954432 231232408 236487690 239026176 251060480 252253536 260136459 265584640 273884160 282443040 289040510 292143104 298782720 301272576 315316920 317944561 328660992 336338048 346848612 365178880 376590720 378380304 398376960 401696768 410826240 420422560 433560765 438214656 451908864 462464816 472975380 478052352 502120960 504507072 520272918 547768320 564886080 578081020 584286208 597565440 602545152 630633840 635889122 657321984 672676096 693697224 730357760 753181440 756760608 796753920 803393536 821652480 840845120 867121530 876429312 903817728 924929632 945950760 953833683 1004241920 1009014144 1040545836 1095536640 1129772160 1156162040 1195130880 1205090304 1261267680 1271778244 1300682295 1314643968 1345352192 1387394448 1460715520 1506362880 1513521216 1589722805 1606787072 1643304960 1681690240 1734243060 1752858624 1807635456 1849859264 1891901520 1907667366 2008483840 2018028288 2081091672 2191073280 2259544320 2312324080 2390261760 2410180608 2522535360 2543556488 2601364590 2629287936 2690704384 2774788896 2861501049 2921431040 3012725760 3027042432 3179445610 3213574144 3286609920 3363380480 3468486120 3615270912 3699718528 3783803040 3815334732 4016967680 4036056576 4162183344 4382146560 4519088640 4624648160 4769168415 4820361216 5045070720 5087112976 5202729180 5258575872 5381408768 5549577792 5723002098 6025451520 6054084864 6358891220 6427148288 6573219840 6726760960 6936972240 7230541824 7399437056 7567606080 7630669464 8033935360 8072113152 8324366688 8764293120 9038177280 9249296320 9538336830 9640722432 10090141440 10174225952 10405458360 10762817536 11099155584 11446004196 12050903040 12108169728 12717782440 13146439680 13453521920 13873944480 14307505245 14461083648 14798874112 15135212160 15261338928 16067870720 16144226304 16648733376 18076354560 18498592640 19076673660 19281444864 20180282880 20348451904 20810916720 21525635072 22198311168 22892008392 24101806080 24216339456 25435564880 26292879360 26907043840 27747888960 28615010490 28922167296 29597748224 30270424320 30522677856 32135741440 32288452608 33297466752 36152709120 36997185280 38153347320 40360565760 40696903808 41621833440 43051270144 44396622336 45784016784 48203612160 48432678912 50871129760 53814087680 55495777920 57230020980 57844334592 59195496448 60540848640 61045355712 64576905216 66594933504 72305418240 73994370560 76306694640 80721131520 81393807616 83243666880 86102540288 88793244672 91568033568 96407224320 96865357824 101742259520 107628175360 110991555840 114460041960 118390992896 121081697280 122090711424 129153810432 133189867008 144610836480 147988741120 152613389280 161442263040 162787615232 166487333760 177586489344 183136067136 193730715648 203484519040 215256350720 221983111680 228920083920 236781985792 242163394560 244181422848 258307620864 266379734016 289221672960 295977482240 305226778560 322884526080 325575230464 332974667520 355172978688 366272134272 387461431296 406969038080 430512701440 443966223360 457840167840 473563971584 484326789120 488362845696 532759468032 591954964480 610453557120 645769052160 651150460928 665949335040 710345957376 732544268544 774922862592 813938076160 887932446720 915680335680 947127943168 968653578240 976725691392 1065518936064 1183909928960 1220907114240 1291538104320 1302300921856 1331898670080 1420691914752 1465088537088 1627876152320 1775864893440 1831360671360 1937307156480 1953451382784 2131037872128 2367819857920 2441814228480 2604601843712 2663797340160 2841383829504 2930177074176 3255752304640 3551729786880 3662721342720 3874614312960 3906902765568 4262075744256 4735639715840 4883628456960 5209203687424 5327594680320 5860354148352 6511504609280 7103459573760 7325442685440 7813805531136 8524151488512 9767256913920 10418407374848 10655189360640 11720708296704 13023009218560 14206919147520 14650885370880 15627611062272 19534513827840 21310378721280 23441416593408 26046018437120 29301770741760 31255222124544 39069027655680 42620757442560 46882833186816 52092036874240 58603541483520 78138055311360 93765666373632 117207082967040 156276110622720 234414165934080 468828331868160
• Sum of all divisors σ(n): 1787530979813670
• Sum of proper divisors (its aliquot sum) s(n): 1318702647945510
• 468828331868160 is an abundant number, because the sum of its proper divisors (1318702647945510) is greater than itself. Its abundance is 849874316077350

Bases of 468828331868160

• Binary: 1101010100110010110011010001011101000000000000000₂
• Hexadecimal: 0x1AA659A2E8000
• Base-36: 4M6ORG0740

Squares and roots of 468828331868160

• 468828331868160 squared (468828331868160²) is 219800004762281569435621785600
• 468828331868160 cubed (468828331868160³) is 103048469577314092084985541011317242986496000
• The square root of 468828331868160 is 21652444.0160495509
• The cube root of 468828331868160 is 77685.1394358775

Scales and comparisons

• 468,828,331,868,160 seconds is equal to 14,907,290 years, 40 weeks, 1 day, 1 hour, 36 minutes.
• To count from 1 to 468,828,331,868,160 would take you about thirty-seven million, two hundred sixty-eight thousand, two hundred twenty-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 468828331868160 cubic inches would be around 6473.8 feet tall.

Recreational maths with 468828331868160

• 468828331868160 backwards is 061868133828864
• 468828331868160 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468828331868160's digits is 72
• More coming soon!