146632228567128320

Names of 146632228567128320

• Cardinal: 146632228567128320 can be written as One hundred forty-six quadrillion, six hundred thirty-two trillion, two hundred twenty-eight billion, five hundred sixty-seven million, one hundred twenty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.4663222856712832 × 10¹⁷

Factors of 146632228567128320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 265

Divisors of 146632228567128320

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 229 232 256 290 320 458 464 580 640 841 916 928 1145 1160 1280 1682 1832 1856 2290 2320 3364 3664 3712 4205 4580 4640 6641 6728 7328 7424 8410 9160 9280 13282 13456 14656 16820 18320 18560 24389 26564 26912 29312 33205 33640 36640 37120 48778 53128 53824 58624 66410 67280 73280 97556 106256 107648 121945 132820 134560 146560 192589 195112 212512 215296 243890 265640 269120 293120 385178 390224 425024 487780 531280 538240 707281 770356 780448 850048 962945 975560 1062560 1076480 1414562 1540712 1560896 1700096 1925890 1951120 2125120 2829124 3081424 3121792 3536405 3851780 3902240 4250240 5585081 5658248 6162848 6243584 7072810 7703560 7804480 8500480 11170162 11316496 12325696 14145620 15407120 15608960 20511149 22340324 22632992 24651392 27925405 28291240 30814240 31217920 41022298 44680648 45265984 49302784 55850810 56582480 61628480 82044596 89361296 90531968 102555745 111701620 113164960 123256960 161967349 164089192 178722592 181063936 205111490 223403240 226329920 246513920 323934698 328178384 357445184 410222980 446806480 452659840 594823321 647869396 656356768 714890368 809836745 820445960 893612960 905319680 1189646642 1295738792 1312713536 1429780736 1619673490 1640891920 1787225920 2379293284 2591477584 2625427072 2974116605 3239346980 3281783840 3574451840 4697053121 4758586568 5182955168 5250854144 5948233210 6478693960 6563567680 7148903680 9394106242 9517173136 10365910336 11896466420 12957387920 13127135360 17249876309 18788212484 19034346272 20731820672 23485265605 23792932840 25914775840 26254270720 34499752618 37576424968 38068692544 41463641344 46970531210 47585865680 51829551680 68999505236 75152849936 76137385088 86249381545 93941062420 95171731360 103659103360 136214540509 137999010472 150305699872 152274770176 172498763090 187882124840 190343462720 207318206720 272429081018 275998020944 300611399744 344997526180 375764249680 380686925440 500246412961 544858162036 551996041888 601222799488 681072702545 689995052360 751528499360 761373850880 1000492825922 1089716324072 1103992083776 1202445598976 1362145405090 1379990104720 1503056998720 2000985651844 2179432648144 2207984167552 2501232064805 2724290810180 2759980209440 3006113997440 3950221674761 4001971303688 4358865296288 4415968335104 5002464129610 5448581620360 5519960418880 6012227994880 7900443349522 8003942607376 8717730592576 10004928259220 10897163240720 11039920837760 15800886699044 16007885214752 17435461185152 19751108373805 20009856518440 21794326481440 22079841675520 31601773398088 32015770429504 34870922370304 39502216747610 40019713036880 43588652962880 63203546796176 64031540859008 79004433495220 80039426073760 87177305925760 114556428568069 126407093592352 128063081718016 158008866990440 160078852147520 174354611851520 229112857136138 252814187184704 316017733980880 320157704295040 458225714272276 505628374369408 572782142840345 632035467961760 640315408590080 916451428544552 1011256748738816 1145564285680690 1264070935923520 1832902857089104 2291128571361380 2528141871847040 3665805714178208 4582257142722760 5056283743694080 7331611428356416 9164514285445520 14663222856712832 18329028570891040 29326445713425664 36658057141782080 73316114283564160 146632228567128320
• Sum of all divisors σ(n): 365362471402235580
• Sum of proper divisors (its aliquot sum) s(n): 218730242835107260
• 146632228567128320 is an abundant number, because the sum of its proper divisors (218730242835107260) is greater than itself. Its abundance is 72098014267978940

Bases of 146632228567128320

• Binary: 1000001000111100010011110000101000010111100001100100000000₂
• Hexadecimal: 0x208F13C285E1900
• Base-36: 143SSBV0X2WW

Squares and roots of 146632228567128320

• 146632228567128320 squared (146632228567128320²) is 21501010454562562568628451346022400
• 146632228567128320 cubed (146632228567128320³) is 3152741079397633252225895169498001765978622394368000
• The square root of 146632228567128320 is 382925878.6855862527
• The cube root of 146632228567128320 is 527322.7137264737

Scales and comparisons

• 146,632,228,567,128,320 seconds is equal to 4,662,451,305 years, 8 weeks, 6 days, 12 hours, 5 minutes, 20 seconds.
• To count from 1 to 146,632,228,567,128,320 would take you about thirteen billion, nine hundred eighty-seven million, three hundred fifty-three thousand, nine hundred fifteen 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 146632228567128320 cubic inches would be around 43943.6 feet tall.

Recreational maths with 146632228567128320

• 146632228567128320 backwards is 023821765822236641
• The number of decimal digits it has is: 18
• The sum of 146632228567128320's digits is 68
• More coming soon!