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157914043456 = 2613238212
BaseRepresentation
bin1001001100010001101…
…0010001010001000000
3120002121022010120120011
42103010122101101000
510041401443342311
6200313353554304
714260154136151
oct2230432212100
9502538116504
10157914043456
1160a753a7134
1226731115994
1311b78057c00
147900881928
15419379b321
hex24c4691440

157914043456 has 63 divisors (see below), whose sum is σ = 339408379983. Its totient is φ = 72864330240.

The previous prime is 157914043451. The next prime is 157914043457. The reversal of 157914043456 is 654340419751.

The square root of 157914043456 is 397384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 768398400 + 157145645056 = 27720^2 + 396416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157914043451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41326026 + ... + 41329846.

Almost surely, 2157914043456 is an apocalyptic number.

157914043456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157914043456 is the 397384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157914043456

157914043456 is an abundant number, since it is smaller than the sum of its proper divisors (181494336527).

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

157914043456 is an frugal number, since it uses more digits than its factorization.

157914043456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 157914043456 by its sum of digits (49), we get a square (7737788129344 = 27816882).

The spelling of 157914043456 in words is "one hundred fifty-seven billion, nine hundred fourteen million, forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 3821 5408 7642 10816 15284 30568 49673 61136 99346 122272 198692 244544 397384 645749 794768 1291498 1589536 2582996 3179072 5165992 10331984 14600041 20663968 29200082 41327936 58400164 116800328 189800533 233600656 379601066 467201312 759202132 934402624 1518404264 2467406929 3036808528 4934813858 6073617056 9869627716 12147234112 19739255432 39478510864 78957021728 157914043456