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151340146340 = 22519800949727
BaseRepresentation
bin1000110011110010010…
…0110101111010100100
3112110122011012000001012
42030330210311322210
54434421034140330
6153305200321352
713635231006305
oct2147444657244
9473564160035
10151340146340
1159201626a09
12253b7613258
131136b102766
1474797627ac
153e0b59ec95
hex233c935ea4

151340146340 has 48 divisors (see below), whose sum is σ = 334589875200. Its totient is φ = 57341636352.

The previous prime is 151340146319. The next prime is 151340146351. The reversal of 151340146340 is 43641043151.

It is a happy number.

151340146340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151340146297 and 151340146306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3018557 + ... + 3068283.

It is an arithmetic number, because the mean of its divisors is an integer number (6970622400).

Almost surely, 2151340146340 is an apocalyptic number.

151340146340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151340146340 is an abundant number, since it is smaller than the sum of its proper divisors (183249728860).

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

151340146340 is a wasteful number, since it uses less digits than its factorization.

151340146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57764 (or 57762 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 151340146340 its reverse (43641043151), we get a palindrome (194981189491).

The spelling of 151340146340 in words is "one hundred fifty-one billion, three hundred forty million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 8009 16018 32036 40045 49727 80090 99454 152171 160180 198908 248635 304342 497270 608684 760855 944813 994540 1521710 1889626 3043420 3779252 4724065 9448130 18896260 398263543 796527086 1593054172 1991317715 3982635430 7567007317 7965270860 15134014634 30268029268 37835036585 75670073170 151340146340