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31340116632 = 2331119323187
BaseRepresentation
bin11101001100000001…
…000011101010011000
32222220010221212210110
4131030001003222120
51003141032213012
622221503244320
72156431411266
oct351401035230
988803855713
1031340116632
1112322751540
1260a78a96a0
132c55c07a16
14173440d436
15c365e073c
hex74c043a98

31340116632 has 96 divisors (see below), whose sum is σ = 85945164480. Its totient is φ = 9444833280.

The previous prime is 31340116553. The next prime is 31340116651. The reversal of 31340116632 is 23661104313.

It is a self number, because there is not a number n which added to its sum of digits gives 31340116632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9832143 + ... + 9835329.

It is an arithmetic number, because the mean of its divisors is an integer number (895262130).

Almost surely, 231340116632 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 31340116632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42972582240).

31340116632 is an abundant number, since it is smaller than the sum of its proper divisors (54605047848).

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

31340116632 is a wasteful number, since it uses less digits than its factorization.

31340116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

It can be divided in two parts, 313401 and 16632, that added together give a palindrome (330033).

The spelling of 31340116632 in words is "thirty-one billion, three hundred forty million, one hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 3187 4246 4632 6369 6374 8492 9561 12738 12748 16984 19122 25476 25496 35057 37249 38244 50952 70114 74498 76488 105171 111747 140228 148996 210342 223494 280456 297992 409739 420684 446988 615091 819478 841368 893976 1229217 1230182 1638956 1845273 2458434 2460364 3277912 3690546 4916868 4920728 6766001 7381092 9833736 13532002 14762184 20298003 27064004 40596006 54128008 81192012 118712563 162384024 237425126 356137689 474850252 712275378 949700504 1305838193 1424550756 2611676386 2849101512 3917514579 5223352772 7835029158 10446705544 15670058316 31340116632