Search a number
-
+
157391026240 = 2657237271289
BaseRepresentation
bin1001001010010100111…
…1000111100001000000
3120001020211222112211011
42102211033013201000
510034314100314430
6200145431530304
714241203435500
oct2224517074100
9501224875734
10157391026240
11608271495a8
1226605b29994
1311ac38a4276
147891217a00
1541628d822a
hex24a53c7840

157391026240 has 168 divisors, whose sum is σ = 447761974680. Its totient is φ = 52503994368.

The previous prime is 157391026217. The next prime is 157391026253. The reversal of 157391026240 is 42620193751.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68334142464 + 89056883776 = 261408^2 + 298424^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 157391026193 and 157391026202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444516 + ... + 715804.

Almost surely, 2157391026240 is an apocalyptic number.

157391026240 is a gapful number since it is divisible by the number (10) 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 157391026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223880987340).

157391026240 is an abundant number, since it is smaller than the sum of its proper divisors (290370948440).

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

157391026240 is a wasteful number, since it uses less digits than its factorization.

157391026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271357 (or 271340 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 157391026240 in words is "one hundred fifty-seven billion, three hundred ninety-one million, twenty-six thousand, two hundred forty".