Search a number
-
+
234141532052400 = 243252717232149933
BaseRepresentation
bin110101001111001101010010…
…110110000101101110110000
31010201000201012221112201112100
4311033031102312011232300
5221142133324201134100
62145551045045500400
7100214111302431420
oct6517152266055660
91121021187481470
10234141532052400
1168671958871815
1222316245411700
13a0855b45c100b
1441b67211c6480
151c1085a2c1400
hexd4f352d85bb0

234141532052400 has 540 divisors, whose sum is σ = 986450252134672. Its totient is φ = 50369941463040.

The previous prime is 234141532052371. The next prime is 234141532052413. The reversal of 234141532052400 is 4250235141432.

It is a happy number.

234141532052400 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 41 + 5 + 3 + 205 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8792167 + ... + 23357766.

Almost surely, 2234141532052400 is an apocalyptic number.

234141532052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234141532052400 is an abundant number, since it is smaller than the sum of its proper divisors (752308720082272).

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

234141532052400 is a wasteful number, since it uses less digits than its factorization.

234141532052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32149998 (or 32149967 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 234141532052400 its reverse (4250235141432), we get a palindrome (238391767193832).

The spelling of 234141532052400 in words is "two hundred thirty-four trillion, one hundred forty-one billion, five hundred thirty-two million, fifty-two thousand, four hundred".