Search a number
-
+
232514781345 = 3257111311373739
BaseRepresentation
bin1101100010001011110…
…1100000000010100001
3211020011100120201100100
43120202331200002201
512302142241000340
6254452114413013
722540635013620
oct3304275400241
9736140521310
10232514781345
118a677594720
1239090891169
1318c066ba672
14b37a5076b7
1560acc48830
hex3622f600a1

232514781345 has 192 divisors, whose sum is σ = 510141265920. Its totient is φ = 95166489600.

The previous prime is 232514781341. The next prime is 232514781353. The reversal of 232514781345 is 543187415232.

232514781345 is a `hidden beast` number, since 2 + 32 + 514 + 78 + 1 + 34 + 5 = 666.

It is not a de Polignac number, because 232514781345 - 22 = 232514781341 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232514781345.

It is not an unprimeable number, because it can be changed into a prime (232514781341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62184486 + ... + 62188224.

It is an arithmetic number, because the mean of its divisors is an integer number (2656985760).

Almost surely, 2232514781345 is an apocalyptic number.

It is an amenable number.

232514781345 is an abundant number, since it is smaller than the sum of its proper divisors (277626484575).

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

232514781345 is a wasteful number, since it uses less digits than its factorization.

232514781345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4033 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 232514781345 in words is "two hundred thirty-two billion, five hundred fourteen million, seven hundred eighty-one thousand, three hundred forty-five".