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14634374000412 = 22317197335150939
BaseRepresentation
bin1101010011110101010010…
…1010011110111100011100
31220211000212200112011012010
43110331110222132330130
53404232144221003122
651042534423311220
73040204300365165
oct324752452367434
956730780464163
1014634374000412
114732448673491
1217842a62ab510
1382202820536a
14388443a2876c
151a5a18894e0c
hexd4f54a9ef1c

14634374000412 has 96 divisors (see below), whose sum is σ = 38110362796800. Its totient is φ = 4343600581632.

The previous prime is 14634374000377. The next prime is 14634374000413. The reversal of 14634374000412 is 21400047343641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14634374000413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265639 + ... + 5416577.

It is an arithmetic number, because the mean of its divisors is an integer number (396982945800).

Almost surely, 214634374000412 is an apocalyptic number.

14634374000412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14634374000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055181398400).

14634374000412 is an abundant number, since it is smaller than the sum of its proper divisors (23475988796388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14634374000412 is a wasteful number, since it uses less digits than its factorization.

14634374000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151715 (or 5151713 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 14634374000412 in words is "fourteen trillion, six hundred thirty-four billion, three hundred seventy-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 733 969 1292 1466 1938 2199 2932 3876 4398 8796 12461 13927 24922 27854 37383 41781 49844 55708 74766 83562 149532 167124 236759 473518 710277 947036 1420554 2841108 5150939 10301878 15452817 20603756 30905634 61811268 87565963 97867841 175131926 195735682 262697889 293603523 350263852 391471364 525395778 587207046 1050791556 1174414092 1663753297 3327506594 3775638287 4991259891 6655013188 7551276574 9982519782 11326914861 15102553148 19965039564 22653829722 45307659444 64185850879 71737127453 128371701758 143474254906 192557552637 215211382359 256743403516 286948509812 385115105274 430422764718 770230210548 860845529436 1219531166701 2439062333402 3658593500103 4878124666804 7317187000206 14634374000412