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31513144523016 = 23313239551459791
BaseRepresentation
bin1110010101001001110011…
…10010001111100100001000
311010120121221020001211222110
413022210321302033210020
513112302404444214031
6151004534433422320
76431515045541262
oct712447162174410
9133517836054873
1031513144523016
11a04a7165a0102
12364b56040a9a0
1314778a4b59510
147ad35c642b32
15399ae1121c46
hex1ca939c8f908

31513144523016 has 128 divisors (see below), whose sum is σ = 88541372989440. Its totient is φ = 9273780384000.

The previous prime is 31513144522949. The next prime is 31513144523033. The reversal of 31513144523016 is 61032544131513.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68308081 + ... + 68767871.

It is an arithmetic number, because the mean of its divisors is an integer number (691729476480).

Almost surely, 231513144523016 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 31513144523016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44270686494720).

31513144523016 is an abundant number, since it is smaller than the sum of its proper divisors (57028228466424).

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

31513144523016 is a wasteful number, since it uses less digits than its factorization.

31513144523016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469387 (or 469383 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 31513144523016 its reverse (61032544131513), we get a palindrome (92545688654529).

The spelling of 31513144523016 in words is "thirty-one trillion, five hundred thirteen billion, one hundred forty-four million, five hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 9551 19102 28653 38204 57306 76408 114612 124163 219673 229224 248326 372489 439346 459791 496652 659019 744978 878692 919582 993304 1318038 1379373 1489956 1757384 1839164 2636076 2758746 2855749 2979912 3678328 5272152 5517492 5711498 5977283 8567247 10575193 11034984 11422996 11954566 17134494 17931849 21150386 22845992 23909132 31725579 34268988 35863698 42300772 47818264 63451158 68537976 71727396 84601544 126902316 137477509 143454792 253804632 274955018 412432527 549910036 824865054 1099820072 1649730108 3299460216 4391463841 8782927682 13174391523 17565855364 26348783046 35131710728 52697566092 57089029933 101003668343 105395132184 114178059866 171267089799 202007336686 228356119732 303011005029 342534179598 404014673372 456712239464 606022010058 685068359196 808029346744 1212044020116 1313047688459 1370136718392 2424088040232 2626095376918 3939143065377 5252190753836 7878286130754 10504381507672 15756572261508 31513144523016