Search a number
-
+
151831491840 = 2832573076133
BaseRepresentation
bin1000110101100111011…
…1001011010100000000
3112111220101201221100200
42031121313023110000
54441422330214330
6153430031445200
713653345246420
oct2153167132400
9474811657320
10151831491840
1159433a12076
1225514086800
1311418b47542
1474c4b04480
153e397a8a60
hex2359dcb500

151831491840 has 432 divisors, whose sum is σ = 602420827008. Its totient is φ = 34585657344.

The previous prime is 151831491811. The next prime is 151831491857. The reversal of 151831491840 is 48194138151.

151831491840 is a `hidden beast` number, since 1 + 5 + 1 + 83 + 1 + 491 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24753414 + ... + 24759546.

Almost surely, 2151831491840 is an apocalyptic number.

151831491840 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 151831491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301210413504).

151831491840 is an abundant number, since it is smaller than the sum of its proper divisors (450589335168).

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

151831491840 is a wasteful number, since it uses less digits than its factorization.

151831491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 151831491840 in words is "one hundred fifty-one billion, eight hundred thirty-one million, four hundred ninety-one thousand, eight hundred forty".