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14018974938 = 23331411571301
BaseRepresentation
bin11010000111001100…
…01001010011011010
31100012000011201022000
431003212021103122
5212202324144223
610235031141430
71004255215023
oct150346112332
940160151260
1014018974938
115a44389401
122872b14876
131425523857
1496dc15c4a
15570b30543
hex3439894da

14018974938 has 128 divisors (see below), whose sum is σ = 33177876480. Its totient is φ = 4380480000.

The previous prime is 14018974919. The next prime is 14018974987. The reversal of 14018974938 is 83947981041.

14018974938 is a `hidden beast` number, since 1 + 401 + 89 + 74 + 93 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10774888 + ... + 10776188.

It is an arithmetic number, because the mean of its divisors is an integer number (259202160).

Almost surely, 214018974938 is an apocalyptic number.

14018974938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14018974938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588938240).

14018974938 is an abundant number, since it is smaller than the sum of its proper divisors (19158901542).

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

14018974938 is a wasteful number, since it uses less digits than its factorization.

14018974938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14018974938 in words is "fourteen billion, eighteen million, nine hundred seventy-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 82 93 123 157 186 246 279 314 369 471 558 738 837 942 1107 1271 1301 1413 1674 2214 2542 2602 2826 3813 3903 4239 4867 6437 7626 7806 8478 9734 11439 11709 12874 14601 19311 22878 23418 29202 34317 35127 38622 40331 43803 53341 57933 68634 70254 80662 87606 106682 115866 120993 131409 160023 173799 199547 204257 241986 262818 320046 347598 362979 399094 408514 480069 598641 612771 725958 960138 1088937 1197282 1225542 1440207 1653571 1795923 1838313 2177874 2880414 3307142 3591846 3676626 4960713 5387769 5514939 6331967 8374537 9921426 10775538 11029878 12663934 14882139 16749074 18995901 25123611 29764278 37991802 44646417 50247222 56987703 75370833 89292834 113975406 150741666 170963109 226112499 259610647 341926218 452224998 519221294 778831941 1557663882 2336495823 4672991646 7009487469 14018974938