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31312012440 = 2335942127697
BaseRepresentation
bin11101001010010101…
…110110010010011000
32222211012002001002110
4131022111312102120
51003111333344230
622215021032320
72155640500002
oct351225662230
988735061073
1031312012440
11123088a6435
12609a3b56a0
132c50147917
1417307b5372
15c33ddd4b0
hex74a576498

31312012440 has 64 divisors (see below), whose sum is σ = 93949400160. Its totient is φ = 8348682240.

The previous prime is 31312012439. The next prime is 31312012447. The reversal of 31312012440 is 4421021313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312012447) by changing a digit.

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, 1116672 + ... + 1144368.

Almost surely, 231312012440 is an apocalyptic number.

31312012440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312012440 is an abundant number, since it is smaller than the sum of its proper divisors (62637387720).

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

31312012440 is a wasteful number, since it uses less digits than its factorization.

31312012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37132 (or 37128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31312012440 its reverse (4421021313), we get a palindrome (35733033753).

The spelling of 31312012440 in words is "thirty-one billion, three hundred twelve million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9421 18842 27697 28263 37684 47105 55394 56526 75368 83091 94210 110788 113052 138485 141315 166182 188420 221576 226104 276970 282630 332364 376840 415455 553940 565260 664728 830910 1107880 1130520 1661820 3323640 260933437 521866874 782800311 1043733748 1304667185 1565600622 2087467496 2609334370 3131201244 3914001555 5218668740 6262402488 7828003110 10437337480 15656006220 31312012440