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31545310440 = 23357172121821
BaseRepresentation
bin11101011000001111…
…110011110011101000
310000102110001210210010
4131120033303303220
51004101044413230
622254113251520
72164502500050
oct353017636350
9100373053703
1031545310440
11124185616a6
126144563ba0
132c89590087
141753784560
15c496239b0
hex7583f3ce8

31545310440 has 128 divisors (see below), whose sum is σ = 108223153920. Its totient is φ = 7205836800.

The previous prime is 31545310439. The next prime is 31545310469. The reversal of 31545310440 is 4401354513.

It is a super-2 number, since 2×315453104402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31545310398 and 31545310407.

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, 1434730 + ... + 1456550.

It is an arithmetic number, because the mean of its divisors is an integer number (845493390).

Almost surely, 231545310440 is an apocalyptic number.

31545310440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31545310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54111576960).

31545310440 is an abundant number, since it is smaller than the sum of its proper divisors (76677843480).

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

31545310440 is a wasteful number, since it uses less digits than its factorization.

31545310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23563 (or 23559 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 31545310440 its reverse (4401354513), we get a palindrome (35946664953).

The spelling of 31545310440 in words is "thirty-one billion, five hundred forty-five million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1721 3442 5163 6884 8605 10326 12047 13768 17210 20652 21821 24094 25815 34420 36141 41304 43642 48188 51630 60235 65463 68840 72282 87284 96376 103260 109105 120470 130926 144564 152747 174568 180705 206520 218210 240940 261852 289128 305494 327315 361410 436420 458241 481880 523704 610988 654630 722820 763735 872840 916482 1221976 1309260 1445640 1527470 1832964 2291205 2618520 3054940 3665928 4582410 6109880 9164820 18329640 37553941 75107882 112661823 150215764 187769705 225323646 262877587 300431528 375539410 450647292 525755174 563309115 751078820 788632761 901294584 1051510348 1126618230 1314387935 1502157640 1577265522 2103020696 2253236460 2628775870 3154531044 3943163805 4506472920 5257551740 6309062088 7886327610 10515103480 15772655220 31545310440