1322813400900978

Names of 1322813400900978

• Cardinal: 1322813400900978 can be written as One quadrillion, three hundred twenty-two trillion, eight hundred thirteen billion, four hundred million, nine hundred thousand, nine hundred seventy-eight.

Scientific notation

• Scientific notation: 1.322813400900978 × 10¹⁵

Factors of 1322813400900978

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 94

Divisors of 1322813400900978

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 6 7 14 21 29 42 49 53 58 87 98 106 147 159 174 203 294 318 343 371 406 609 686 742 1029 1113 1218 1421 1537 2058 2226 2597 2809 2842 3074 4263 4611 5194 5618 7791 8427 8526 9222 9947 10759 15582 16854 18179 19663 19894 21518 29841 32277 36358 39326 54537 58989 59682 64554 75313 81461 109074 117978 137641 148877 150626 162922 225939 244383 275282 297754 412923 446631 451878 488766 527191 570227 825846 893262 963487 1042139 1054382 1140454 1581573 1710681 1926974 2084278 2890461 3126417 3163146 3421362 3991589 4317433 5780922 6252834 7294973 7890481 7983178 8634866 11974767 12952299 14589946 15780962 21884919 23671443 23949534 25904598 27941123 30222031 43769838 47342886 51064811 55233367 55882246 60444062 83823369 90666093 102129622 110466734 153194433 165700101 167646738 181332186 211554217 228823949 306388866 331400202 386633569 418195493 423108434 457647898 634662651 686471847 773267138 836390986 1159900707 1254586479 1269325302 1372943694 1480879519 1601767643 2319801414 2509172958 2706434983 2927368451 2961759038 3203535286 4442638557 4805302929 5412869966 5854736902 8119304949 8782105353 8885277114 9610605858 11212373501 12127669297 16238609898 17564210706 20491579157 22164361129 22424747002 24255338594 33637120503 36383007891 40983158314 44328722258 61474737471 66493083387 67274241006 72766015782 78486614507 84893685079 122949474942 132986166774 143441054099 155150527903 156973229014 169787370158 235459843521 254681055237 286882108198 310301055806 430323162297 465451583709 470919687042 509362110474 594255795553 642766472741 860646324594 930903167418 1086053695321 1188511591106 1285532945482 1782767386659 1928299418223 2172107390642 3258161085963 3565534773318 3856598836446 4159790568871 4499365309187 6516322171926 7602375867247 8319581137742 8998730618374 12479371706613 13498095927561 15204751734494 22807127601741 24958743413226 26996191855122 31495557164309 45614255203482 62991114328618 94486671492927 188973342985854 220468900150163 440937800300326 661406700450489 1322813400900978
• Sum of all divisors σ(n): 3253046233392000
• Sum of proper divisors (its aliquot sum) s(n): 1930232832491022
• 1322813400900978 is an abundant number, because the sum of its proper divisors (1930232832491022) is greater than itself. Its abundance is 607419431590044

Bases of 1322813400900978

• Binary: 100101100110001011101111110110111010110010101110010₂
• Hexadecimal: 0x4B3177EDD6572
• Base-36: D0WC34V71U

Squares and roots of 1322813400900978

• 1322813400900978 squared (1322813400900978²) is 1749835293603211543822161356484
• 1322813400900978 cubed (1322813400900978³) is 2314705575747825616362676589649015380242241352
• The square root of 1322813400900978 is 36370501.7961118871
• The cube root of 1322813400900978 is 109774.0098853195
• Being both a perfect square and a perfect cube, 1322813400900978 is also a perfect sixth number.

Scales and comparisons

• 1,322,813,400,900,978 seconds is equal to 42,061,374 years, 21 weeks, 5 days, 4 hours, 56 minutes, 18 seconds.
• To count from 1 to 1,322,813,400,900,978 would take you about one hundred twenty-six million, one hundred eighty-four thousand, one 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 1322813400900978 cubic inches would be around 9147.8 feet tall.

Recreational maths with 1322813400900978

• 1322813400900978 backwards is 8790090043182231
• The number of decimal digits it has is: 16
• The sum of 1322813400900978's digits is 57
• More coming soon!