230146013656528000

Names of 230146013656528000

• Cardinal: 230146013656528000 can be written as Two hundred thirty quadrillion, one hundred forty-six trillion, thirteen billion, six hundred fifty-six million, five hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 2.30146013656528 × 10¹⁷

Factors of 230146013656528000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1409298

Divisors of 230146013656528000

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 640 725 800 928 1000 1160 1450 1600 1856 2000 2320 2900 3200 3625 3712 4000 4640 5800 7250 8000 9280 11600 14500 16000 18560 23200 29000 46400 58000 92800 116000 232000 464000 682259 727003 1364518 1454006 2729036 2908012 3411295 3635015 5458072 5816024 6822590 7270030 10916144 11632048 13645180 14540060 17056475 18175075 19785511 21083087 21832288 23264096 27290360 29080120 34112950 36350150 39571022 42166174 43664576 46528192 54580720 58160240 68225900 72700300 79142044 84332348 85282375 87329152 90875375 93056384 98927555 105415435 109161440 116320480 136451800 145400600 158284088 168664696 170564750 181750750 197855110 210830870 218322880 232640960 272903600 290801200 316568176 337329392 341129500 363501500 395710220 421661740 436645760 465281920 494637775 527077175 545807200 581602400 633136352 674658784 682259000 727003000 791420440 843323480 989275550 1054154350 1091614400 1163204800 1266272704 1349317568 1364518000 1454006000 1582840880 1686646960 1978551100 2108308700 2183228800 2326409600 2473188875 2532545408 2635385875 2698635136 2729036000 2908012000 3165681760 3373293920 3957102200 4216617400 4946377750 5270771750 5458072000 5816024000 6331363520 6746587840 7914204400 8433234800 9892755500 10541543500 10916144000 11632048000 12662727040 13493175680 15828408800 16866469600 19785511000 21083087000 31656817600 33732939200 39571022000 42166174000 63313635200 67465878400 79142044000 84332348000 158284088000 168664696000 316568176000 337329392000 496004339777 992008679554 1984017359108 2480021698885 3968034718216 4960043397770 7936069436432 9920086795540 12400108494425 14384125853533 15872138872864 19840173591080 24800216988850 28768251707066 31744277745728 39680347182160 49600433977700 57536503414132 62000542472125 63488555491456 71920629267665 79360694364320 99200867955400 115073006828264 124001084944250 143841258535330 158721388728640 198401735910800 230146013656528 248002169888500 287682517070660 317442777457280 359603146338325 396803471821600 460292027313056 496004339777000 575365034141320 719206292676650 793606943643200 920584054626112 992008679554000 1150730068282640 1438412585353300 1587213887286400 1798015731691625 1841168109252224 1984017359108000 2301460136565280 2876825170706600 3596031463383250 3968034718216000 4602920273130560 5753650341413200 7192062926766500 7936069436432000 9205840546261120 11507300682826400 14384125853533000 23014601365652800 28768251707066000 46029202731305600 57536503414132000 115073006828264000 230146013656528000
• Sum of all divisors σ(n): 591933260904336000
• Sum of proper divisors (its aliquot sum) s(n): 361787247247808000
• 230146013656528000 is an abundant number, because the sum of its proper divisors (361787247247808000) is greater than itself. Its abundance is 131641233591280000

Bases of 230146013656528000

• Binary: 1100110001101001001001010001111110011110000011010010000000₂
• Hexadecimal: 0x331A4947E783480
• Base-36: 1QY3YB35458G

Squares and roots of 230146013656528000

• 230146013656528000 squared (230146013656528000²) is 52967187601990772676757014784000000
• 230146013656528000 cubed (230146013656528000³) is 12190187081195648936304762726245585594109952000000000
• The square root of 230146013656528000 is 479735357.9386535065
• The cube root of 230146013656528000 is 612822.1944177459

Scales and comparisons

• 230,146,013,656,528,000 seconds is equal to 7,317,931,345 years, 47 weeks, 4 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 230,146,013,656,528,000 would take you about twenty-one billion, nine hundred fifty-three million, seven hundred ninety-four thousand and thirty-seven 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 230146013656528000 cubic inches would be around 51068.5 feet tall.

Recreational maths with 230146013656528000

• 230146013656528000 backwards is 000825656310641032
• The number of decimal digits it has is: 18
• The sum of 230146013656528000's digits is 52
• More coming soon!