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3814157472 = 253127312841
BaseRepresentation
bin1110001101010111…
…0110110010100000
3100211211000021102120
43203111312302200
530302411014342
61430250344240
7163342542426
oct34325666240
910754007376
103814157472
111687aa0a64
128a542b080
1348a283418
142827b9116
15174cb5aec
hexe3576ca0

3814157472 has 48 divisors (see below), whose sum is σ = 10091031552. Its totient is φ = 1261370880.

The previous prime is 3814157453. The next prime is 3814157497. The reversal of 3814157472 is 2747514183.

3814157472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144229 + ... + 168612.

It is an arithmetic number, because the mean of its divisors is an integer number (210229824).

Almost surely, 23814157472 is an apocalyptic number.

3814157472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3814157472 is an abundant number, since it is smaller than the sum of its proper divisors (6276874080).

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

3814157472 is a wasteful number, since it uses less digits than its factorization.

3814157472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312981 (or 312973 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 3814157472 is about 61758.8655336220. The cubic root of 3814157472 is about 1562.4262967005.

The spelling of 3814157472 in words is "three billion, eight hundred fourteen million, one hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 312841 625682 938523 1251364 1877046 2502728 3754092 5005456 7508184 10010912 15016368 30032736 39730807 79461614 119192421 158923228 238384842 317846456 476769684 635692912 953539368 1271385824 1907078736 3814157472