401901147648

Names of 401901147648

• Cardinal: 401901147648 can be written as Four hundred one billion, nine hundred one million, one hundred forty-seven thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 4.01901147648 × 10¹¹

Factors of 401901147648

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 125

Divisors of 401901147648

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 64 66 72 77 78 84 88 89 91 96 99 104 112 117 121 126 128 132 143 144 154 156 168 176 178 182 192 198 208 224 231 234 242 252 256 264 267 273 286 288 308 312 336 352 356 363 364 384 396 416 429 448 462 468 484 504 512 528 534 546 572 576 616 623 624 672 693 704 712 726 728 768 792 801 819 832 847 858 896 924 936 968 979 1001 1008 1056 1068 1089 1092 1144 1152 1157 1232 1246 1248 1287 1344 1386 1408 1424 1452 1456 1536 1573 1584 1602 1638 1664 1694 1716 1792 1848 1869 1872 1936 1958 2002 2016 2112 2136 2178 2184 2288 2304 2314 2464 2492 2496 2541 2574 2688 2772 2816 2848 2904 2912 2937 3003 3146 3168 3204 3276 3328 3388 3432 3471 3584 3696 3738 3744 3872 3916 4004 4032 4224 4272 4356 4368 4576 4608 4628 4719 4928 4984 4992 5082 5148 5376 5544 5607 5632 5696 5808 5824 5874 6006 6292 6336 6408 6552 6656 6776 6853 6864 6942 7392 7476 7488 7623 7744 7832 7921 8008 8064 8099 8448 8544 8712 8736 8811 9009 9152 9256 9438 9856 9968 9984 10164 10296 10413 10752 10769 11011 11088 11214 11392 11616 11648 11748 12012 12584 12672 12727 12816 13104 13552 13706 13728 13884 14157 14784 14952 14976 15246 15488 15664 15842 16016 16128 16198 16896 17088 17424 17472 17622 18018 18304 18512 18876 19712 19936 19968 20328 20559 20592 20826 21538 22022 22176 22428 22784 23232 23296 23496 23763 24024 24297 25168 25344 25454 25632 26208 27104 27412 27456 27768 28314 29568 29904 29952 30492 30976 31328 31684 32032 32256 32307 32396 33033 34176 34848 34944 35244 36036 36608 37024 37752 38181 39424 39872 40656 41118 41184 41652 43076 44044 44352 44856 45568 46464 46592 46992 47526 48048 48594 50336 50688 50908 51264 52416 54208 54824 54912 55447 55536 56628 59136 59808 59904 60984 61677 61952 62656 63368 64064 64614 64792 66066 68352 69696 69888 70488 71289 72072 72891 73216 74048 75383 75504 76362 79744 81312 82236 82368 83304 86152 87131 88088 88704 89089 89712 92928 93984 95052 96096 96921 97188 99099 100672 101816 102528 102973 104832 108416 109648 109824 110894 111072 113256 114543 118272 119616 121968 123354 125312 126736 128128 129228 129584 132132 136704 139392 139776 139997 140976 142578 144144 145782 148096 150766 151008 152724 159488 162624 164472 164736 166341 166608 172304 174262 176176 177408 178178 179424 185856 187968 190104 192192 193842 194376 198198 201344 203632 205056 205946 209664 216832 219296 219648 221788 222144 226149 226512 229086 239232 243936 246708 250624 253472 256256 258456 259168 261393 264264 267267 278784 279994 281952 285156 288288 291564 296192 301532 302016 305448 308919 318976 325248 328944 329472 332682 333216 344608 348524 352352 354816 356356 358848 375936 380208 384384 387684 388752 396396 402688 407264 410112 411892 419328 419991 433664 438592 443576 444288 452298 453024 458172 478464 487872 493416 499023 501248 506944 512512 516912 518336 522786 528528 534534 557568 559988 563904 570312 576576 583128 592384 603064 604032 609917 610896 617838 650496 657888 658944 665364 666432 678447 689216 697048 704704 712712 717696 720811 751872 760416 768768 775368 777504 784179 792792 801801 805376 814528 823784 839982 877184 887152 888576 904596 906048 916344 926757 956928 958441 975744 979979 986832 998046 1013888 1033824 1036672 1045572 1057056 1069068 1119976 1127808 1132703 1140624 1153152 1166256 1206128 1208064 1219834 1221792 1235676 1259973 1300992 1315776 1330728 1332864 1356894 1378432 1394096 1409408 1425424 1435392 1441622 1503744 1520832 1537536 1550736 1555008 1568358 1585584 1603602 1629056 1647568 1679964 1754368 1774304 1777152 1809192 1812096 1829751 1832688 1853514 1916882 1951488 1959958 1973664 1996092 2027776 2067648 2073344 2091144 2114112 2138136 2162433 2239952 2255616 2265406 2281248 2306304 2332512 2412256 2416128 2439668 2443584 2471352 2519946 2631552 2661456 2665728 2713788 2756864 2788192 2818816 2850848 2870784 2875323 2883244 2939937 3041664 3101472 3110016 3136716 3171168 3207204 3258112 3295136 3359928 3398109 3508736 3548608 3618384 3624192 3659502 3665376 3707028 3833764 3902976 3919916 3947328 3992184 4055552 4135296 4146688 4182288 4228224 4276272 4324866 4479904 4511232 4530812 4562496 4612608 4665024 4824512 4879336 4887168 4942704 5039892 5263104 5322912 5331456 5427576 5489253 5513728 5576384 5637632 5701696 5750646 5766488 5879874 6083328 6202944 6220032 6273432 6342336 6414408 6487299 6516224 6590272 6709087 6719856 6796218 7097216 7236768 7248384 7319004 7330752 7414056 7667528 7839832 7894656 7928921 7984368 8270592 8364576 8456448 8552544 8625969 8649732 8819811 8959808 9061624 9124992 9330048 9649024 9758672 9774336 9885408 10079784 10194327 10526208 10645824 10855152 10978506 11152768 11403392 11501292 11532976 11759748 12166656 12405888 12440064 12459733 12546864 12684672 12828816 12974598 13180544 13418174 13439712 13592436 14194432 14473536 14638008 14661504 14828112 15335056 15679664 15789312 15857842 15968736 16541184 16729152 16912896 17105088 17251938 17299464 17639622 17919616 18123248 18249984 18660096 19298048 19517344 19548672 19770816 20127261 20159568 20388654 21291648 21710304 21957012 22305536 22806784 23002584 23065952 23519496 23786763 24811776 24919466 25093728 25369344 25657632 25949196 26361088 26836348 26879424 27184872 28388864 28947072 29276016 29323008 29656224 30670112 31359328 31578624 31715684 31937472 33458304 34210176 34503876 34598928 35279244 35839232 36246496 36499968 37320192 37379199 38596096 39034688 39541632 40254522 40319136 40777308 42583296 43420608 43914024 44611072 45613568 46005168 46131904 47038992 47573526 49623552 49838932 50187456 50738688 51315264 51898392 52722176 53672696 53758848 54369744 57894144 58552032 58646016 59312448 60381783 61340224 62718656 63431368 63874944 66916608 68420352 69007752 69197856 70558488 71360289 71678464 72492992 74758398 78069376 79083264 80509044 80638272 81554616 85166592 86841216 87218131 87828048 92010336 92263808 94077984 95147052 99677864 100374912 102630528 103796784 107345392 107517696 108739488 112137597 115788288 117104064 118624896 120763566 122680448 125437312 126862736 127749888 133833216 136840704 138015504 138395712 141116976 142720578 144985984 149516796 156138752 158166528 161018088 161276544 163109232 173682432 174436262 175656096 184020672 184527616 188155968 190294104 199355728 200749824 205261056 207593568 214690784 215035392 217478976 224275194 234208128 237249792 241527132 245360896 250874624 253725472 255499776 261654393 276031008 276791424 282233952 285441156 289971968 299033592 312277504 322036176 322553088 326218464 347364864 348872524 351312192 368041344 369055232 376311936 380588208 398711456 401499648 410522112 415187136 429381568 434957952 448550388 468416256 474499584 483054264 490721792 501749248 507450944 523308786 552062016 553582848 564467904 570882312 579943936 598067184 644072352 645106176 652436928 697745048 702624384 736082688 752623872 761176416 784963179 797422912 830374272 858763136 869915904 897100776 936832512 966108528 1014901888 1046617572 1104124032 1107165696 1128935808 1141764624 1196134368 1288144704 1304873856 1395490096 1405248768 1472165376 1505247744 1522352832 1569926358 1594845824 1660748544 1717526272 1739831808 1794201552 1932217056 2029803776 2093235144 2208248064 2257871616 2283529248 2392268736 2576289408 2609747712 2790980192 2810497536 3044705664 3139852716 3189691648 3321497088 3435052544 3588403104 3864434112 4059607552 4186470288 4416496128 4515743232 4567058496 4784537472 5152578816 5219495424 5581960384 6089411328 6279705432 6379383296 7176806208 7728868224 8372940576 9134116992 9569074944 10305157632 11163920768 12178822656 12559410864 14353612416 15457736448 16745881152 18268233984 19138149888 22327841536 25118821728 28707224832 30915472896 33491762304 36536467968 44655683072 50237643456 57414449664 66983524608 100475286912 133967049216 200950573824 401901147648
• Sum of all divisors σ(n): 1586994352944
• Sum of proper divisors (its aliquot sum) s(n): 1185093205296
• 401901147648 is an abundant number, because the sum of its proper divisors (1185093205296) is greater than itself. Its abundance is 783192057648

Bases of 401901147648

• Binary: 101110110010011001011001101011000000000₂
• Hexadecimal: 0x5D932CD600
• Base-36: 54MPKE80

Squares and roots of 401901147648

• 401901147648 squared (401901147648²) is 161524532480779495931904
• 401901147648 cubed (401901147648³) is 64916894977331931916659164857761792
• The square root of 401901147648 is 633956.7395713999
• The cube root of 401901147648 is 7379.7176986777

Scales and comparisons

• 401,901,147,648 seconds is equal to 12,779 years, 11 weeks, 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 401,901,147,648 would take you about twenty-five thousand, five hundred fifty-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 401901147648 cubic inches would be around 615 feet tall.

Recreational maths with 401901147648

• 401901147648 backwards is 846741109104
• The number of decimal digits it has is: 12
• The sum of 401901147648's digits is 45
• More coming soon!