Search a number
-
+
232145504301150 = 23252113722312774451
BaseRepresentation
bin110100110010001010010110…
…010100011111000001011110
31010102221220010100012000110100
4310302022112110133001132
5220411432443100114100
62141422101123521530
766616650002455446
oct6462122624370136
91112856110160410
10232145504301150
1167a723a0180240
122205342b8292a6
139c6c2c4cb2abb
144147c8c105126
151bc8985dd6400
hexd3229651f05e

232145504301150 has 576 divisors, whose sum is σ = 702627544958976. Its totient is φ = 54456209280000.

The previous prime is 232145504301149. The next prime is 232145504301199. The reversal of 232145504301150 is 51103405541232.

232145504301150 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 4 + 5 + 504 + 30 + 115 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52155806425 + ... + 52155810875.

It is an arithmetic number, because the mean of its divisors is an integer number (1219839487776).

Almost surely, 2232145504301150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232145504301150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351313772479488).

232145504301150 is an abundant number, since it is smaller than the sum of its proper divisors (470482040657826).

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

232145504301150 is a wasteful number, since it uses less digits than its factorization.

232145504301150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 232145504301150 its reverse (51103405541232), we get a palindrome (283248909842382).

The spelling of 232145504301150 in words is "two hundred thirty-two trillion, one hundred forty-five billion, five hundred four million, three hundred one thousand, one hundred fifty".