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15042000024 = 233429800447
BaseRepresentation
bin11100000001001001…
…01011010010011000
31102211022011202220000
432000210223102120
5221301223000044
610524334133000
71041516614322
oct160044532230
942738152800
1015042000024
1164198a9287
122ab9651160
13155946303c
14a29a38612
155d085dd69
hex38092b498

15042000024 has 80 divisors (see below), whose sum is σ = 43584393600. Its totient is φ = 4841097408.

The previous prime is 15042000019. The next prime is 15042000049. The reversal of 15042000024 is 42000024051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 15041999970 and 15042000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 381432 + ... + 419015.

It is an arithmetic number, because the mean of its divisors is an integer number (544804920).

Almost surely, 215042000024 is an apocalyptic number.

It is an amenable number.

15042000024 is an abundant number, since it is smaller than the sum of its proper divisors (28542393576).

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

15042000024 is a wasteful number, since it uses less digits than its factorization.

15042000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800494 (or 800481 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 15042000024 its reverse (42000024051), we get a palindrome (57042024075).

The spelling of 15042000024 in words is "fifteen billion, forty-two million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 800447 1600894 2401341 3201788 4802682 6403576 7204023 9605364 14408046 19210728 21612069 23212963 28816092 43224138 46425926 57632184 64836207 69638889 86448276 92851852 129672414 139277778 172896552 185703704 208916667 259344828 278555556 417833334 518689656 557111112 626750001 835666668 1253500002 1671333336 1880250003 2507000004 3760500006 5014000008 7521000012 15042000024