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153240015053124 = 22324256667084809
BaseRepresentation
bin100010110101111011111000…
…101010011010000101000100
3202002120121021010102001212200
4202311323320222122011010
5130041141022323144444
61301525254023114500
744164140266252106
oct4265737052320504
9662517233361780
10153240015053124
11449107a85a187a
121522ab36ba2a30
13676761890b0bc
1429babdb99d576
1512ab1d00a4969
hex8b5ef8a9a144

153240015053124 has 18 divisors (see below), whose sum is σ = 387356704717710. Its totient is φ = 51080005017696.

The previous prime is 153240015053123. The next prime is 153240015053189. The reversal of 153240015053124 is 421350510042351.

153240015053124 is a `hidden beast` number, since 1 + 5 + 3 + 24 + 0 + 0 + 1 + 505 + 3 + 124 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105447431937600 + 47792583115524 = 10268760^2 + 6913218^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4256667084809 = 153240015053124 / (1 + 5 + 3 + 2 + 4 + 0 + 0 + 1 + 5 + 0 + 5 + 3 + 1 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (153240015053123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2128333542369 + ... + 2128333542440.

Almost surely, 2153240015053124 is an apocalyptic number.

It is an amenable number.

153240015053124 is an abundant number, since it is smaller than the sum of its proper divisors (234116689664586).

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

153240015053124 is a wasteful number, since it uses less digits than its factorization.

153240015053124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256667084819 (or 4256667084814 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 153240015053124 its reverse (421350510042351), we get a palindrome (574590525095475).

The spelling of 153240015053124 in words is "one hundred fifty-three trillion, two hundred forty billion, fifteen million, fifty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4256667084809 8513334169618 12770001254427 17026668339236 25540002508854 38310003763281 51080005017708 76620007526562 153240015053124