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1413174912 = 27317713049
BaseRepresentation
bin101010000111011…
…0101011010000000
310122111010201112120
41110032311122000
510343233044122
6352121124240
750006534322
oct12416653200
93574121476
101413174912
11665778256
12335329680
13196a12496
14d5981612
15840e875c
hex543b5680

1413174912 has 128 divisors (see below), whose sum is σ = 4031856000. Its totient is φ = 436961280.

The previous prime is 1413174907. The next prime is 1413174937. The reversal of 1413174912 is 2194713141.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461964 + ... + 465012.

It is an arithmetic number, because the mean of its divisors is an integer number (31498875).

Almost surely, 21413174912 is an apocalyptic number.

1413174912 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 1413174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015928000).

1413174912 is an abundant number, since it is smaller than the sum of its proper divisors (2618681088).

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

1413174912 is a wasteful number, since it uses less digits than its factorization.

1413174912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3142 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 1413174912 is about 37592.2187693145. The cubic root of 1413174912 is about 1122.1871885602.

The spelling of 1413174912 in words is "one billion, four hundred thirteen million, one hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 128 136 142 192 204 213 272 284 384 408 426 544 568 816 852 1088 1136 1207 1632 1704 2176 2272 2414 3049 3264 3408 3621 4544 4828 6098 6528 6816 7242 9088 9147 9656 12196 13632 14484 18294 19312 24392 27264 28968 36588 38624 48784 51833 57936 73176 77248 97568 103666 115872 146352 154496 155499 195136 207332 216479 231744 292704 310998 390272 414664 432958 463488 585408 621996 649437 829328 865916 1170816 1243992 1298874 1658656 1731832 2487984 2597748 3317312 3463664 3680143 4975968 5195496 6634624 6927328 7360286 9951936 10390992 11040429 13854656 14720572 19903872 20781984 22080858 27709312 29441144 41563968 44161716 58882288 83127936 88323432 117764576 176646864 235529152 353293728 471058304 706587456 1413174912