Search a number
-
+
151231152042 = 23219479408433
BaseRepresentation
bin1000110011011000010…
…1000011111110101010
3112110100120002111222100
42030312011003332222
54434210133331132
6153250304234230
713632435403545
oct2146605037652
9473316074870
10151231152042
1159156051983
122538700b976
13113516600a9
1474690ad85c
153e01c2037c
hex2336143faa

151231152042 has 48 divisors (see below), whose sum is σ = 352251768960. Its totient is φ = 46741090176.

The previous prime is 151231152031. The next prime is 151231152043. The reversal of 151231152042 is 240251132151.

It is a happy number.

151231152042 is a `hidden beast` number, since 1 + 5 + 123 + 11 + 520 + 4 + 2 = 666.

151231152042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1512311520422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151231151997 and 151231152015.

It is not an unprimeable number, because it can be changed into a prime (151231152043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4688143 + ... + 4720290.

It is an arithmetic number, because the mean of its divisors is an integer number (7338578520).

Almost surely, 2151231152042 is an apocalyptic number.

151231152042 is an abundant number, since it is smaller than the sum of its proper divisors (201020616918).

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

151231152042 is a wasteful number, since it uses less digits than its factorization.

151231152042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408507 (or 9408504 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151231152042 its reverse (240251132151), we get a palindrome (391482284193).

The spelling of 151231152042 in words is "one hundred fifty-one billion, two hundred thirty-one million, one hundred fifty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 16074 9408433 18816866 28225299 56450598 84675897 169351794 178760227 357520454 442196351 536280681 884392702 1072561362 1326589053 1608842043 2653178106 3217684086 3979767159 7959534318 8401730669 16803461338 25205192007 50410384014 75615576021 151231152042