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31424000240 = 2452317078261
BaseRepresentation
bin11101010001000001…
…000011000011110000
310000002222210121110202
4131101001003003300
51003324021001430
622234101214332
72161500411023
oct352101030360
9100088717422
1031424000240
1112366035536
12610ba013a8
132c6a3c79a9
1417416071ba
15c3db5ed45
hex7510430f0

31424000240 has 40 divisors (see below), whose sum is σ = 76237361568. Its totient is φ = 12023095040.

The previous prime is 31424000239. The next prime is 31424000273. The reversal of 31424000240 is 4200042413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 8537291 + ... + 8540970.

Almost surely, 231424000240 is an apocalyptic number.

It is an amenable number.

31424000240 is an abundant number, since it is smaller than the sum of its proper divisors (44813361328).

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

31424000240 is a wasteful number, since it uses less digits than its factorization.

31424000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078297 (or 17078291 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 31424000240 its reverse (4200042413), we get a palindrome (35624042653).

The spelling of 31424000240 in words is "thirty-one billion, four hundred twenty-four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 17078261 34156522 68313044 85391305 136626088 170782610 273252176 341565220 392800003 683130440 785600006 1366260880 1571200012 1964000015 3142400024 3928000030 6284800048 7856000060 15712000120 31424000240