401868121722144

Names of 401868121722144

• Cardinal: 401868121722144 can be written as Four hundred one trillion, eight hundred sixty-eight billion, one hundred twenty-one million, seven hundred twenty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.01868121722144 × 10¹⁴

Factors of 401868121722144

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8315

Divisors of 401868121722144

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 43 44 48 56 66 77 84 86 88 96 112 113 121 127 129 132 154 168 172 176 224 226 231 242 254 258 264 301 308 336 339 344 352 363 381 452 462 473 484 508 516 528 602 616 672 678 688 726 762 791 847 889 903 904 924 946 968 1016 1032 1056 1204 1232 1243 1356 1376 1397 1419 1452 1524 1582 1694 1778 1806 1808 1848 1892 1936 2032 2064 2373 2408 2464 2486 2541 2667 2712 2794 2838 2904 3048 3164 3311 3388 3556 3612 3616 3696 3729 3784 3872 4064 4128 4191 4746 4816 4859 4972 5082 5203 5334 5424 5461 5588 5676 5808 6096 6328 6622 6776 7112 7224 7392 7458 7568 8009 8382 8701 9492 9632 9718 9779 9933 9944 10164 10406 10668 10848 10922 11176 11352 11616 12192 12656 13244 13552 13673 14224 14351 14448 14577 14916 15136 15367 15609 16018 16383 16764 17402 18984 19436 19558 19866 19888 20328 20812 21336 21844 22352 22704 24027 25312 26103 26488 27104 27346 28448 28702 28896 29154 29337 29832 30734 31218 32036 32766 33528 34013 34804 36421 37968 38227 38872 39116 39732 39776 40656 41019 41624 42672 43053 43688 44704 45408 46101 48054 52206 52976 53449 54692 56063 57404 58308 58674 59664 60071 61468 62436 64072 65532 67056 68026 69608 72842 75936 76454 77744 78232 79464 81312 82038 83248 85344 86106 87376 88099 92202 95711 96108 100457 102039 104412 105952 106898 107569 109263 109384 112126 114681 114808 116616 117348 119328 120142 122936 124872 128144 131064 134112 136052 139216 145684 152908 155488 156464 157861 158928 160347 164076 166496 168189 172212 174752 176198 180213 184404 191422 192216 200914 204078 208824 213796 215138 218526 218768 224252 229362 229616 233232 234696 240284 245872 249744 256288 262128 264297 272104 278432 287133 291368 301371 305816 312928 315722 317856 320694 322707 328152 336378 344387 344424 352396 360426 368808 374143 382844 384432 401828 408156 417648 420497 427592 430276 437052 437536 448504 458724 459232 466464 469392 473583 480568 491744 499488 524256 528594 544208 574266 582736 587939 602742 611632 616693 617093 631444 641388 645414 656304 660781 672756 688774 688848 704792 720852 737616 748286 765688 768864 803656 816312 835296 840994 855184 860552 874104 897008 905017 917448 938784 947166 961136 969089 1017143 1033161 1057188 1088416 1105027 1122429 1148532 1165472 1175878 1205484 1223264 1233386 1234186 1261491 1262888 1282776 1290828 1312608 1321562 1345512 1377548 1377696 1409584 1441704 1475232 1496572 1531376 1607312 1632624 1681988 1710368 1721104 1736471 1748208 1763817 1794016 1810034 1834896 1850079 1851279 1894332 1922272 1938178 1982343 2034286 2066322 2114376 2210054 2244858 2297064 2351756 2410709 2410968 2466772 2468372 2522982 2525776 2565552 2581656 2643124 2691024 2715051 2755096 2819168 2883408 2907267 2993144 3051429 3062752 3214624 3265248 3315081 3363976 3442208 3472942 3496416 3527634 3620068 3669792 3700158 3702558 3788257 3788664 3876356 3964686 4068572 4115573 4132644 4228752 4319651 4420108 4489716 4594128 4625467 4703512 4821418 4821936 4933544 4936744 5045964 5051552 5131104 5163312 5209413 5286248 5382048 5430102 5510192 5766816 5814534 5986288 6102858 6335119 6630162 6727952 6783623 6788023 6945884 7055268 7120001 7232127 7240136 7400316 7405116 7576514 7577328 7752712 7929372 8137144 8231146 8265288 8457504 8639302 8840216 8979432 9188256 9250934 9407024 9642836 9643872 9867088 9873488 9955187 10091928 10326624 10418826 10572496 10860204 11020384 11188573 11364771 11629068 11972576 12155297 12205716 12346719 12670238 12958953 13260324 13455904 13567246 13576046 13876401 13891768 14110536 14240002 14464254 14480272 14800632 14810232 15153028 15154656 15505424 15858744 16274288 16462292 16530576 17278604 17680432 17958864 18501868 18814048 19005357 19285672 19734176 19746976 19910374 20183856 20350869 20364069 20837652 21144992 21360003 21720408 22377146 22729542 23258136 24310594 24411432 24693438 25340476 25917906 26517799 26520648 27134492 27152092 27752802 27783536 28221072 28480004 28928508 28960544 29601264 29620464 29865561 30306056 31010848 31717488 32548576 32924584 33061152 33565719 34557208 35360864 35917728 36465891 37003736 38010714 38571344 38915731 39820748 40367712 40701738 40728138 41670827 41675304 42720006 43440816 43737149 44754292 45459084 46516272 47516161 48621188 48822864 49386876 50680952 51835812 53035598 53041296 54268984 54304184 55505604 55567072 56442144 56960008 57857016 59202528 59240928 59731122 60612112 63434976 65849168 67131438 69114416 69686309 72931782 74007472 74668253 76021428 77142688 77831462 78320011 79553397 79641496 81403476 81456276 83341654 83350608 85440012 86881632 87474298 89508584 90918168 93032544 95032322 97242376 97645728 98773752 101361904 103671624 106071196 106082592 108537968 108608368 109507057 111011208 113920016 114937159 115714032 116747193 119462244 121224224 123074303 125012481 131211447 131698336 134262876 138228832 139372618 142548483 145863564 148014944 149336506 152042856 155662924 156640022 159106794 159282992 162806952 162912552 166683308 166701216 170880024 174948596 179017168 181836336 190064644 194484752 197547504 202723808 207343248 209058927 212142392 217075936 217216736 219014114 222022416 224004759 227840032 229874318 231428064 233494386 234960033 238924488 246148606 250024962 262422894 268525752 272410117 278745236 285096966 291695789 291727128 298673012 304085712 306160043 311325848 313280044 318213588 318565984 325613904 325825104 328521171 333366616 341760048 344811477 349897192 358034336 363672672 369222909 380129288 388969504 395095008 414686496 418117854 424284784 428073041 438028228 444044832 448009518 459748636 466988772 469920066 477848976 481108639 492297212 500049924 522677771 524845788 537051504 544820234 557490472 570193932 583391578 583454256 597346024 608171424 612320086 622651696 626560088 636427176 651227808 651650208 657042342 666733232 683520096 689622954 699794384 738445818 760258576 766549399 804560113 817230351 836235708 848569568 856146082 861520121 875087367 876056456 896019036 918480129 919497272 933977544 939840132 955697952 962217278 984594424 1000099848 1045355542 1049691576 1074103008 1089640468 1114980944 1140387864 1166783156 1166908512 1194692048 1224640172 1245303392 1253120176 1264308749 1272854352 1284219123 1314084684 1333466464 1379245908 1399588768 1443325917 1476891636 1520517152 1533098798 1568033313 1609120226 1634460702 1672471416 1712292164 1723040242 1750174734 1752112912 1792038072 1836960258 1838994544 1867955088 1879680264 1924434556 1969188848 2000199696 2090711084 2099383152 2179280936 2229961888 2280775728 2299648197 2333566312 2389384096 2413680339 2449280344 2506240352 2528617498 2545708704 2568438246 2584560363 2628169368 2758491816 2886651834 2953783272 2996511287 3066197596 3136066626 3218240452 3268921404 3344942832 3367760473 3424584328 3446080484 3500349468 3504225824 3584076144 3673920516 3677989088 3735910176 3759360528 3792926247 3848869112 3938377696 4000399392 4181422168 4198766304 4358561872 4561551456 4599296394 4667132624 4708803451 4827360678 4898560688 4942297837 5057234996 5136876492 5169120726 5256338736 5292195029 5516983632 5773303668 5907566544 5993022574 6132395192 6272133252 6436480904 6537842808 6689885664 6735520946 6849168656 6892160968 7000698936 7168152288 7347841032 7518721056 7585852494 7697738224 8362844336 8717123744 8850161243 8989533861 9198592788 9334265248 9417606902 9654721356 9797121376 9884595674 10103281419 10114469992 10273752984 10338241452 10512677472 10584390058 11033967264 11546607336 11815133088 11986045148 12264790384 12544266504 12872961808 13075685616 13471041892 13698337312 13784321936 13907396239 14001397872 14126410353 14695682064 14826893511 15171704988 15395476448 15876585087 16725688672 17700322486 17979067722 18397185576 18835213804 19309442712 19769191348 20206562838 20228939984 20547505968 20676482904 21168780116 23093214672 23972090296 24529580768 25088533008 25745923616 26151371232 26550483729 26942083784 27568643872 27814792478 28002795744 28252820706 29391364128 29653787022 30343409976 31753170174 32961624157 34596084859 35400644972 35958135444 36794371152 37045365203 37670427608 38618885424 39538382696 40413125676 40457879968 41095011936 41352965808 41722188717 42337560232 46186429344 47944180592 50177066016 53100967458 53884167568 54365276207 55629584956 56505641412 59307574044 60686819952 63506340348 65923248314 69192169718 70801289944 71916270888 73588742304 74090730406 75340855216 77237770848 79076765392 80826251352 82705931616 83444377434 84675120464 95888361184 97351773673 98884872471 103788254577 106201934916 107768335136 108730552414 111136095609 111259169912 113011282824 118615148088 121373639904 127012680696 131846496628 138384339436 141602579888 143832541776 148181460812 150681710432 158153530784 161652502704 163095828621 166888754868 169350240928 194703547346 197769744942 207576509154 212403869832 217461104828 222272191218 222518339824 226022565648 237230296176 254025361392 263692993256 276768678872 283205159776 287665083552 292055321019 296362921624 323305005408 326191657242 333777509736 380556933449 389407094692 395539489884 415153018308 424807739664 434922209656 444544382436 445036679648 452045131296 474460592352 508050722784 527385986512 553537357744 584110642038 592725843248 598018038277 652383314484 667555019472 761113866898 778814189384 791078979768 830306036616 849615479328 869844419312 889088764872 1054771973024 1107074715488 1141670800347 1168221284076 1185451686496 1196036076554 1304766628968 1335110038944 1522227733796 1557628378768 1582157959536 1660612073232 1739688838624 1778177529744 1794054114831 2283341600694 2336442568152 2392072153108 2609533257936 3044455467592 3115256757536 3164315919072 3321224146464 3556355059488 3588108229662 4186126267939 4566683201388 4672885136304 4784144306216 5219066515872 6088910935184 7176216459324 8372252535878 9133366402776 9345770272608 9568288612432 12177821870368 12558378803817 14352432918648 16744505071756 18266732805552 19136577224864 25116757607634 28704865837296 33489010143512 36533465611104 50233515215268 57409731674592 66978020287024 100467030430536 133956040574048 200934060861072 401868121722144
• Sum of all divisors σ(n): 1378929879613440
• Sum of proper divisors (its aliquot sum) s(n): 977061757891296
• 401868121722144 is an abundant number, because the sum of its proper divisors (977061757891296) is greater than itself. Its abundance is 575193636169152

Bases of 401868121722144

• Binary: 1011011010111111100110110101001000100110100100000₂
• Hexadecimal: 0x16D7F36A44D20
• Base-36: 3YG7NZQUQO

Squares and roots of 401868121722144

• 401868121722144 squared (401868121722144²) is 161497987256483946264339956736
• 401868121722144 cubed (401868121722144³) is 64900892800669951061261610609833126773161984
• The square root of 401868121722144 is 20046648.6406617103
• The cube root of 401868121722144 is 73795.1555221535

Scales and comparisons

• 401,868,121,722,144 seconds is equal to 12,778,163 years, 10 weeks, 6 days, 19 hours, 42 minutes, 24 seconds.
• To count from 1 to 401,868,121,722,144 would take you about thirty-one million, nine hundred forty-five thousand, four hundred eight 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 401868121722144 cubic inches would be around 6149.6 feet tall.

Recreational maths with 401868121722144

• 401868121722144 backwards is 441227121868104
• The number of decimal digits it has is: 15
• The sum of 401868121722144's digits is 51
• More coming soon!