Search a number
-
+
151444400031 = 341869683951
BaseRepresentation
bin1000110100001011001…
…0100010011110011111
3112110220102100122020000
42031002302202132133
54440124231300111
6153323403025343
713640635106031
oct2150262423637
9473812318200
10151444400031
1159255463291
122542650b253
13113868a5432
14748953dc51
153e157e4c56
hex2342ca279f

151444400031 has 10 divisors (see below), whose sum is σ = 226231758192. Its totient is φ = 100962933300.

The previous prime is 151444400027. The next prime is 151444400053. The reversal of 151444400031 is 130004444151.

151444400031 is a `hidden beast` number, since 151 + 44 + 440 + 0 + 0 + 31 = 666.

151444400031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151444400031 - 22 = 151444400027 is a prime.

It is a super-2 number, since 2×1514444000312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 151444399968 and 151444400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151444400011) 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 9 ways as a sum of consecutive naturals, for example, 934841895 + ... + 934842056.

Almost surely, 2151444400031 is an apocalyptic number.

151444400031 is a deficient number, since it is larger than the sum of its proper divisors (74787358161).

151444400031 is an equidigital number, since it uses as much as digits as its factorization.

151444400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869683963 (or 1869683954 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 151444400031 its reverse (130004444151), we get a palindrome (281448844182).

The spelling of 151444400031 in words is "one hundred fifty-one billion, four hundred forty-four million, four hundred thousand, thirty-one".

Divisors: 1 3 9 27 81 1869683951 5609051853 16827155559 50481466677 151444400031