Search a number
-
+
157322202440 = 235131132677369
BaseRepresentation
bin1001001010000100100…
…0100100110101001000
3120001002001110221022112
42102201020210311020
510034143440434230
6200134532441452
714236406441144
oct2224110446510
9501061427275
10157322202440
11607a1311227
12265a6a79288
1311ab2557c20
147886020224
15415b840d95
hex24a1224d48

157322202440 has 64 divisors (see below), whose sum is σ = 384577426800. Its totient is φ = 57574121472.

The previous prime is 157322202431. The next prime is 157322202463. The reversal of 157322202440 is 44202223751.

It can be written as a sum of positive squares in 8 ways, for example, as 678810916 + 156643391524 = 26054^2 + 395782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157322202397 and 157322202406.

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, 1279925 + ... + 1397444.

Almost surely, 2157322202440 is an apocalyptic number.

157322202440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157322202440 is an abundant number, since it is smaller than the sum of its proper divisors (227255224360).

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

157322202440 is a wasteful number, since it uses less digits than its factorization.

157322202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677506 (or 2677502 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 157322202440 in words is "one hundred fifty-seven billion, three hundred twenty-two million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 565 904 1130 1469 2260 2938 4520 5876 7345 11752 14690 29380 58760 2677369 5354738 10709476 13386845 21418952 26773690 34805797 53547380 69611594 107094760 139223188 174028985 278446376 302542697 348057970 605085394 696115940 1210170788 1392231880 1512713485 2420341576 3025426970 3933055061 6050853940 7866110122 12101707880 15732220244 19665275305 31464440488 39330550610 78661101220 157322202440