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134304431616 = 29339715309
BaseRepresentation
bin111110100010100101…
…0101111111000000000
3110211122220111000202000
41331011022233320000
54200023413302431
6141410522024000
712463121555445
oct1750512577000
9424586430660
10134304431616
1151a5a394333
1222042348000
13c8848b61a4
1467010279cc
153760bc09e6
hex1f452afe00

134304431616 has 80 divisors (see below), whose sum is σ = 397550485200. Its totient is φ = 44768139264.

The previous prime is 134304431603. The next prime is 134304431627. The reversal of 134304431616 is 616134403431.

134304431616 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 4 + 4 + 31 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4843831 + ... + 4871478.

It is an arithmetic number, because the mean of its divisors is an integer number (4969381065).

Almost surely, 2134304431616 is an apocalyptic number.

134304431616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134304431616 is an abundant number, since it is smaller than the sum of its proper divisors (263246053584).

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

134304431616 is an frugal number, since it uses more digits than its factorization.

134304431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715336 (or 9715314 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 134304431616 in words is "one hundred thirty-four billion, three hundred four million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 9715309 19430618 29145927 38861236 58291854 77722472 87437781 116583708 155444944 174875562 233167416 262313343 310889888 349751124 466334832 524626686 621779776 699502248 932669664 1049253372 1243559552 1399004496 1865339328 2098506744 2487119104 2798008992 3730678656 4197013488 4974238208 5596017984 7461357312 8394026976 11192035968 14922714624 16788053952 22384071936 33576107904 44768143872 67152215808 134304431616