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1457014133376 = 27321774398189
BaseRepresentation
bin10101001100111100110…
…011110101001010000000
312011021210211010212020100
4111030330303311022000
5142332431104232001
63033202033242400
7210160111535154
oct25147463651200
95137724125210
101457014133376
11511a0954858a
121b6467103400
13a751b88a879
145073c6d5064
1527d786b1586
hex1533ccf5280

1457014133376 has 96 divisors (see below), whose sum is σ = 4439339997300. Its totient is φ = 457102467072.

The previous prime is 1457014133329. The next prime is 1457014133387. The reversal of 1457014133376 is 6733314107541.

1457014133376 is a `hidden beast` number, since 1 + 4 + 570 + 1 + 4 + 1 + 3 + 3 + 3 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1455883560000 + 1130573376 = 1206600^2 + 33624^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37179511 + ... + 37218678.

Almost surely, 21457014133376 is an apocalyptic number.

1457014133376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1457014133376 is an abundant number, since it is smaller than the sum of its proper divisors (2982325863924).

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

1457014133376 is a wasteful number, since it uses less digits than its factorization.

1457014133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74398226 (or 74398211 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1457014133376 in words is "one trillion, four hundred fifty-seven billion, fourteen million, one hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 74398189 148796378 223194567 297592756 446389134 595185512 669583701 892778268 1190371024 1264769213 1339167402 1785556536 2380742048 2529538426 2678334804 3571113072 3794307639 4761484096 5059076852 5356669608 7142226144 7588615278 9522968192 10118153704 10713339216 11382922917 14284452288 15177230556 20236307408 21426678432 22765845834 28568904576 30354461112 40472614816 42853356864 45531691668 60708922224 80945229632 85706713728 91063383336 121417844448 161890459264 182126766672 242835688896 364253533344 485671377792 728507066688 1457014133376