12812988105800890

Names of 12812988105800890

• Cardinal: 12812988105800890 can be written as Twelve quadrillion, eight hundred twelve trillion, nine hundred eighty-eight billion, one hundred five million, eight hundred thousand, eight hundred ninety.

Scientific notation

• Scientific notation: 1.281298810580089 × 10¹⁶

Factors of 12812988105800890

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 4479

Divisors of 12812988105800890

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 289 343 490 578 595 686 833 1190 1327 1445 1666 1715 2023 2654 2890 3121 3430 4046 4165 5831 6242 6635 8330 9289 10115 11662 13270 14161 15605 18578 20230 21847 22559 28322 29155 31210 43694 45118 46445 53057 58310 65023 70805 92890 99127 106114 109235 112795 130046 141610 152929 157913 198254 218470 225590 265285 305858 315826 325115 371399 383503 455161 495635 530570 650230 742798 764645 767006 789565 901969 910322 991270 1070503 1105391 1529290 1579130 1803938 1856995 1917515 2141006 2210782 2275805 2599793 2684521 3713990 3835030 4141567 4509845 4551610 5199586 5352515 5369042 5526955 6313783 7737737 8283134 9019690 9740641 10705030 11053910 12627566 12998965 13422605 15475474 18198551 18791647 19481282 20707835 25997930 26845210 28990969 31568915 36397102 37583294 38688685 41415670 44196481 48703205 57981938 63137830 68184487 70406639 77377370 88392962 90992755 93958235 97406410 131541529 136368974 140813278 144954845 165590897 181985510 187916470 202936783 220982405 263083058 289909690 309375367 331181794 340922435 352033195 405873566 441964810 477291409 492846473 618750734 657707645 681844870 704066390 827954485 954582818 985692946 1014683915 1159136279 1196912863 1315415290 1420557481 1546876835 1655908970 2029367830 2318272558 2386457045 2393825726 2464232365 2815045249 2841114962 3093753670 3341039863 3449925311 4772914090 4928464730 5630090498 5795681395 5984564315 6682079726 6899850622 7102787405 8113953953 8378390041 11591362790 11969128630 12925830607 14075226245 14205574810 16227907906 16705199315 16756780082 17249626555 19705316743 24149477177 25851661214 28150452490 33410398630 34499253110 39410633486 40569769765 41891950205 48298954354 56797677671 58648730287 64629153035 81139539530 83783900410 90480814249 98526583715 113595355342 117297460574 120747385885 129258306070 137937217201 180961628498 197053167430 219739120319 241494771770 275874434402 283988388355 293243651435 410541112009 439478240638 452404071245 567976776710 586487302870 633365699743 689686086005 821082224018 904808142490 965560520407 1098695601595 1266731399486 1379372172010 1538173842233 1931121040814 2052705560045 2197391203190 3076347684466 3166828498715 3735565045423 4105411120090 4433559898201 4827802602035 6333656997430 7471130090846 7690869211165 8867119796402 9655605204070 10767216895631 15381738422330 18677825227115 21534433791262 22167799491005 26148955317961 37355650454230 44335598982010 52297910635922 53836084478155 75370518269417 107672168956310 130744776589805 150741036538834 183042687225727 261489553179610 366085374451454 376852591347085 753705182694170 915213436128635 1281298810580089 1830426872257270 2562597621160178 6406494052900445 12812988105800890
• Sum of all divisors σ(n): 28601951040345600
• Sum of proper divisors (its aliquot sum) s(n): 15788962934544710
• 12812988105800890 is an abundant number, because the sum of its proper divisors (15788962934544710) is greater than itself. Its abundance is 2975974828743820

Bases of 12812988105800890

• Binary: 101101100001010101100001000100100011101011110010111010₂
• Hexadecimal: 0x2D8558448EBCBA
• Base-36: 3I5TPH4N7AY

Squares and roots of 12812988105800890

• 12812988105800890 squared (12812988105800890²) is 164172664199395079112468324792100
• 12812988105800890 cubed (12812988105800890³) is 2103542393684492741894244127660838654613244969000
• The square root of 12812988105800890 is 113194470.2969225877
• The cube root of 12812988105800890 is 234000.5120024403

Scales and comparisons

• 12,812,988,105,800,890 seconds is equal to 407,413,388 years, 30 weeks, 4 days, 18 hours, 28 minutes, 10 seconds.
• To count from 1 to 12,812,988,105,800,890 would take you about one billion, two hundred twenty-two million, two hundred forty thousand, one hundred sixty-five 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 12812988105800890 cubic inches would be around 19500 feet tall.

Recreational maths with 12812988105800890

• 12812988105800890 backwards is 09800850188921821
• 12812988105800890 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12812988105800890's digits is 70
• More coming soon!