23728401609129984

Names of 23728401609129984

• Cardinal: 23728401609129984 can be written as Twenty-three quadrillion, seven hundred twenty-eight trillion, four hundred one billion, six hundred nine million, one hundred twenty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 2.3728401609129984 × 10¹⁶

Factors of 23728401609129984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 349

Divisors of 23728401609129984

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 331 384 416 512 624 662 768 832 993 1024 1248 1324 1536 1664 1986 2048 2496 2648 3072 3328 3972 4096 4303 4992 5296 6144 6656 7944 8192 8606 9984 10592 12288 12909 13312 15888 16384 17212 19968 21184 24576 25818 26624 31776 32768 34424 39936 42368 49152 51636 53248 63552 65536 68848 79872 84736 98304 103272 106496 109561 127104 131072 137696 159744 169472 196608 206544 212992 219122 254208 262144 275392 319488 328683 338944 393216 413088 425984 438244 508416 524288 550784 638976 657366 677888 786432 826176 851968 876488 1016832 1048576 1101568 1277952 1314732 1355776 1424293 1572864 1652352 1703936 1752976 2033664 2097152 2203136 2555904 2629464 2711552 2848586 3145728 3304704 3407872 3505952 4067328 4194304 4272879 4406272 5111808 5258928 5423104 5697172 6291456 6609408 6815744 7011904 8134656 8388608 8545758 8812544 10223616 10517856 10846208 11394344 12582912 13218816 13631488 14023808 16269312 16777216 17091516 17625088 20447232 21035712 21692416 22788688 25165824 26437632 27262976 28047616 32538624 34183032 35250176 36264691 40894464 42071424 43384832 45577376 50331648 52875264 54525952 56095232 65077248 68366064 70500352 72529382 81788928 84142848 86769664 91154752 105750528 108794073 109051904 112190464 130154496 136732128 141000704 145058764 163577856 168285696 173539328 182309504 211501056 217588146 218103808 224380928 260308992 273464256 282001408 290117528 327155712 336571392 347078656 364619008 423002112 435176292 448761856 471440983 520617984 546928512 564002816 580235056 654311424 673142784 694157312 729238016 846004224 870352584 897523712 942881966 1041235968 1093857024 1128005632 1160470112 1346285568 1388314624 1414322949 1458476032 1692008448 1740705168 1795047424 1885763932 2082471936 2187714048 2256011264 2320940224 2692571136 2776629248 2828645898 2916952064 3384016896 3481410336 3590094848 3771527864 4164943872 4375428096 4512022528 4641880448 5385142272 5553258496 5657291796 5833904128 6768033792 6962820672 7180189696 7543055728 8329887744 8750856192 9024045056 9283760896 10770284544 11314583592 11667808256 13536067584 13925641344 14360379392 15086111456 16659775488 17501712384 18048090112 18567521792 21540569088 22629167184 23335616512 27072135168 27851282688 28720758784 30172222912 35003424768 36096180224 37135043584 43081138176 45258334368 46671233024 54144270336 55702565376 57441517568 60344445824 70006849536 72192360448 74270087168 86162276352 90516668736 93342466048 108288540672 111405130752 114883035136 120688891648 140013699072 148540174336 172324552704 181033337472 186684932096 216577081344 222810261504 229766070272 241377783296 280027398144 297080348672 344649105408 362066674944 373369864192 445620523008 459532140544 482755566592 560054796288 594160697344 689298210816 724133349888 746739728384 891241046016 919064281088 965511133184 1120109592576 1188321394688 1378596421632 1448266699776 1493479456768 1782482092032 1838128562176 1931022266368 2240219185152 2376642789376 2757192843264 2896533399552 2986958913536 3564964184064 3862044532736 4480438370304 4753285578752 5514385686528 5793066799104 5973917827072 7129928368128 7724089065472 8960876740608 9506571157504 11586133598208 11947835654144 14259856736256 15448178130944 17921753481216 19013142315008 23172267196416 23895671308288 28519713472512 30896356261888 35843506962432 38026284630016 46344534392832 57039426945024 61792712523776 71687013924864 76052569260032 92689068785664 114078853890048 123585425047552 152105138520064 185378137571328 228157707780096 247170850095104 304210277040128 370756275142656 456315415560192 494341700190208 608420554080256 741512550285312 912630831120384 988683400380416 1483025100570624 1825261662240768 1977366800760832 2966050201141248 3954733601521664 5932100402282496 7909467203043328 11864200804564992 23728401609129984
• Sum of all divisors σ(n): 68349594262975424
• Sum of proper divisors (its aliquot sum) s(n): 44621192653845440
• 23728401609129984 is an abundant number, because the sum of its proper divisors (44621192653845440) is greater than itself. Its abundance is 20892791044715456

Bases of 23728401609129984

• Binary: 1010100010011001101101100000101000000000000000000000000₂
• Hexadecimal: 0x544CDB05000000
• Base-36: 6HN0L7OWGLC

Squares and roots of 23728401609129984

• 23728401609129984 squared (23728401609129984²) is 563037042924162413990505407840256
• 23728401609129984 cubed (23728401609129984³) is 13359969075321483296097086957340073540304611835904
• The square root of 23728401609129984 is 154040259.7022284431
• The cube root of 23728401609129984 is 287357.6928352485

Scales and comparisons

• 23,728,401,609,129,984 seconds is equal to 754,489,774 years, 21 weeks, 10 hours, 46 minutes, 24 seconds.
• To count from 1 to 23,728,401,609,129,984 would take you about two billion, two hundred sixty-three million, four hundred sixty-nine thousand, three hundred twenty-three 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 23728401609129984 cubic inches would be around 23946.5 feet tall.

Recreational maths with 23728401609129984

• 23728401609129984 backwards is 48992190610482732
• The number of decimal digits it has is: 17
• The sum of 23728401609129984's digits is 75
• More coming soon!