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457140023408 = 24193167724001
BaseRepresentation
bin1101010011011111010…
…10110011000001110000
31121200221212121022102002
412221233222303001300
524442210321222113
6550001321113132
745012233041355
oct6515752630160
91550855538362
10457140023408
11166965697742
127471b3287a8
13341536cbb93
14181a8c9c62c
15bd58015c58
hex6a6fab3070

457140023408 has 80 divisors (see below), whose sum is σ = 976765578240. Its totient is φ = 206426880000.

The previous prime is 457140023321. The next prime is 457140023411. The reversal of 457140023408 is 804320041754.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269408 + ... + 993408.

It is an arithmetic number, because the mean of its divisors is an integer number (12209569728).

Almost surely, 2457140023408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457140023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488382789120).

457140023408 is an abundant number, since it is smaller than the sum of its proper divisors (519625554832).

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

457140023408 is a wasteful number, since it uses less digits than its factorization.

457140023408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724126 (or 724120 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 457140023408 in words is "four hundred fifty-seven billion, one hundred forty million, twenty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 31 38 62 67 76 124 134 152 248 268 304 496 536 589 1072 1178 1273 2077 2356 2546 4154 4712 5092 8308 9424 10184 16616 20368 33232 39463 78926 157852 315704 631408 724001 1448002 2896004 5792008 11584016 13756019 22444031 27512038 44888062 48508067 55024076 89776124 97016134 110048152 179552248 194032268 220096304 359104496 388064536 426436589 776129072 852873178 921653273 1503750077 1705746356 1843306546 3007500154 3411492712 3686613092 6015000308 6822985424 7373226184 12030000616 14746452368 24060001232 28571251463 57142502926 114285005852 228570011704 457140023408