125728309933376701888

Names of 125728309933376701888

• Cardinal: 125728309933376701888 can be written as One hundred twenty-five quintillion, seven hundred twenty-eight quadrillion, three hundred nine trillion, nine hundred thirty-three billion, three hundred seventy-six million, seven hundred one thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 1.25728309933376701888 × 10²⁰

Factors of 125728309933376701888

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2323

Divisors of 125728309933376701888

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 361 464 551 608 722 841 928 1102 1216 1444 1682 1856 2204 2273 2888 3364 4408 4546 5776 6728 6859 8816 9092 10469 11552 13456 13718 15979 17632 18184 20938 23104 24389 26912 27436 31958 35264 36368 41876 43187 48778 53824 54872 63916 65917 72736 83752 86374 97556 109744 127832 131834 145472 167504 172748 195112 198911 219488 255664 263668 303601 335008 345496 390224 397822 438976 463391 511328 527336 607202 670016 690992 780448 795644 820553 926782 1022656 1054672 1214404 1252423 1381984 1560896 1591288 1641106 1853564 1911593 2109344 2428808 2504846 2763968 3182576 3282212 3707128 3823186 4218688 4857616 5009692 5166529 5768419 6365152 6564424 7414256 7646372 8804429 9715232 10019384 10333058 11536838 12730304 13128848 14828512 15292744 15590507 17608858 19430464 20038768 20666116 23073676 23796037 26257696 29657024 30585488 31181014 35217716 36320267 40077536 41332232 46147352 47592074 52515392 55436197 61170976 62362028 70435432 72640534 80155072 82664464 92294704 95184148 98164051 110872394 122341952 124724056 140870864 145281068 149829341 165328928 167284151 184589408 190368296 196328102 221744788 249448112 281741728 290562136 299658682 330657856 334568302 369178816 380736592 392656204 443489576 452124703 498896224 563483456 581124272 599317364 669136604 690085073 761473184 785312408 886979152 904249406 997792448 1053287743 1162248544 1198634728 1338273208 1380170146 1522946368 1570624816 1773958304 1808498812 1865116969 2106575486 2324497088 2397269456 2676546416 2760340292 2846757479 3141249632 3547916608 3616997624 3730233938 4213150972 4345050889 4794538912 5353092832 5520680584 5693514958 6282499264 7233995248 7460467876 8426301944 8690101778 9589077824 10706185664 11041361168 11387029916 13111616387 14467990496 14920935752 16852603888 17380203556 20012467117 22082722336 22774059832 26223232774 28935980992 29841871504 33705207776 34760407112 35437222411 40024934234 44165444672 45548119664 52446465548 54088392101 59683743008 67410415552 69520814224 70874444822 80049868468 82555966891 91096239328 104892931096 108176784202 119367486016 126006475781 139041628448 141748889644 160099736936 165111933782 182192478656 209785862192 216353568404 252012951562 278083256896 283497779288 320199473872 330223867564 380236875223 419571724384 432707136808 504025903124 566995558576 640398947744 660447735128 760473750446 839143448768 865414273616 1008051806248 1027679449919 1133991117152 1280797895488 1320895470256 1520947500892 1568563370929 1730828547232 2016103612496 2055358899838 2267982234304 2394123039839 2641790940512 3041895001784 3137126741858 3461657094464 4032207224992 4110717799676 4788246079678 5283581881024 6083790003568 6274253483716 8064414449984 8221435599352 9576492159356 12167580007136 12548506967432 16442871198704 19152984318712 24335160014272 25097013934864 29802704047651 32885742397408 38305968637424 45488337756941 50194027869728 59605408095302 65771484794816 76611937274848 90976675513882 100388055739456 119210816190604 153223874549696 181953351027764 238421632381208 363906702055528 476843264762416 727813404111056 864278417381879 953686529524832 1455626808222112 1728556834763758 1907373059049664 2911253616444224 3457113669527516 6914227339055032 13828454678110064 27656909356220128 55313818712440256
• Sum of all divisors σ(n): 125793047068080696032
• Sum of proper divisors (its aliquot sum) s(n): 64737134703994144
• 125728309933376701888 is a deficient number, because the sum of its proper divisors (64737134703994144) is less than itself. Its deficiency is 125663572798672707744

Bases of 125728309933376701888

• Binary: 1101101000011010100101011111011111101001101001000101000010111000000₂
• Hexadecimal: 0x6D0D4AFBF4D2285C0
• Base-36: QJ83A7Q68601S

Squares and roots of 125728309933376701888

• 125728309933376701888 squared (125728309933376701888²) is 15807607918703230647942762411320422764544
• 125728309933376701888 cubed (125728309933376701888³) is 1987463827708019606100671298791456043029456551243913904259072
• The square root of 125728309933376701888 is 11212863592.0257543231
• 125728309933376701888 is a perfect cube number. Its cube root is 5009692

Scales and comparisons

• 125,728,309,933,376,701,888 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 125,728,309,933,376,701,888 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 125728309933376701888 cubic inches would be around 417474.3 feet tall.

Recreational maths with 125728309933376701888

• 125728309933376701888 backwards is 888107673339903827521
• The number of decimal digits it has is: 21
• The sum of 125728309933376701888's digits is 100
• More coming soon!