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31324012040 = 23537181116933
BaseRepresentation
bin11101001011000011…
…100111111000001000
32222212000122200110002
4131023003213320020
51003122421341130
622220130142132
72156144465156
oct351303477010
988760580402
1031324012040
1112314651962
1260a2421948
132c52789689
14173221a3d6
15c34eadb45
hex74b0e7e08

31324012040 has 64 divisors (see below), whose sum is σ = 72784398960. Its totient is φ = 12123509760.

The previous prime is 31324012037. The next prime is 31324012051. The reversal of 31324012040 is 4021042313.

It can be written as a sum of positive squares in 8 ways, for example, as 16874529604 + 14449482436 = 129902^2 + 120206^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 209414 + ... + 326346.

Almost surely, 231324012040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31324012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36392199480).

31324012040 is an abundant number, since it is smaller than the sum of its proper divisors (41460386920).

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

31324012040 is a wasteful number, since it uses less digits than its factorization.

31324012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117162 (or 117158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31324012040 its reverse (4021042313), we get a palindrome (35345054353).

The spelling of 31324012040 in words is "thirty-one billion, three hundred twenty-four million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 181 185 296 362 370 724 740 905 1448 1480 1810 3620 6697 7240 13394 26788 33485 53576 66970 116933 133940 233866 267880 467732 584665 935464 1169330 2338660 4326521 4677320 8653042 17306084 21164873 21632605 34612168 42329746 43265210 84659492 86530420 105824365 169318984 173060840 211648730 423297460 783100301 846594920 1566200602 3132401204 3915501505 6264802408 7831003010 15662006020 31324012040