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151654302440 = 23517223021033
BaseRepresentation
bin1000110100111101001…
…1010000001011101000
3112111110001022210012022
42031033103100023220
54441042000134230
6153400302004012
713646064205304
oct2151723201350
9474401283168
10151654302440
115935299a053
1225484876608
13113bb218a44
1474a937cd04
153e28e581e5
hex234f4d02e8

151654302440 has 32 divisors (see below), whose sum is σ = 361294075080. Its totient is φ = 57093384192.

The previous prime is 151654302431. The next prime is 151654302451. The reversal of 151654302440 is 44203456151.

It can be written as a sum of positive squares in 4 ways, for example, as 145180812676 + 6473489764 = 381026^2 + 80458^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 151654302440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111509837 + ... + 111511196.

Almost surely, 2151654302440 is an apocalyptic number.

151654302440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151654302440 is an abundant number, since it is smaller than the sum of its proper divisors (209639772640).

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

151654302440 is a wasteful number, since it uses less digits than its factorization.

151654302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223021061 (or 223021057 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 151654302440 its reverse (44203456151), we get a palindrome (195857758591).

The spelling of 151654302440 in words is "one hundred fifty-one billion, six hundred fifty-four million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 223021033 446042066 892084132 1115105165 1784168264 2230210330 3791357561 4460420660 7582715122 8920841320 15165430244 18956787805 30330860488 37913575610 75827151220 151654302440