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31324131444 = 22353107460297
BaseRepresentation
bin11101001011000100…
…000101000001110100
32222212000212202020110
4131023010011001310
51003122434201234
622220132503020
72156145503244
oct351304050164
988760782213
1031324131444
1112314723641
1260a247aa70
132c527cbb28
14173224bb24
15c34ed41e9
hex74b105074

31324131444 has 48 divisors (see below), whose sum is σ = 75164822208. Its totient is φ = 10148606208.

The previous prime is 31324131431. The next prime is 31324131451. The reversal of 31324131444 is 44413142313.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162097 + ... + 298200.

It is an arithmetic number, because the mean of its divisors is an integer number (1565933796).

Almost surely, 231324131444 is an apocalyptic number.

It is an amenable number.

31324131444 is an abundant number, since it is smaller than the sum of its proper divisors (43840690764).

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

31324131444 is a wasteful number, since it uses less digits than its factorization.

31324131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460464 (or 460462 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 31324131444 its reverse (44413142313), we get a palindrome (75737273757).

The spelling of 31324131444 in words is "thirty-one billion, three hundred twenty-four million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 53 106 107 159 212 214 318 321 428 636 642 1284 5671 11342 17013 22684 34026 68052 460297 920594 1380891 1841188 2761782 5523564 24395741 48791482 49251779 73187223 97582964 98503558 146374446 147755337 197007116 292748892 295510674 591021348 2610344287 5220688574 7831032861 10441377148 15662065722 31324131444