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31042368126 = 2337117465697
BaseRepresentation
bin11100111010010001…
…001111001001111110
32222010101200200122000
4130322101033021332
51002033321240001
622132145403130
72146154526660
oct347221171176
988111620560
1031042368126
111218a6756a0
1260240394a6
132c09317983
141706a64530
15c1a3c8a86
hex73a44f27e

31042368126 has 64 divisors (see below), whose sum is σ = 86004840960. Its totient is φ = 8062951680.

The previous prime is 31042368121. The next prime is 31042368179. The reversal of 31042368126 is 62186324013.

It is a super-3 number, since 3×310423681263 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31042368121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728691 + ... + 3737006.

It is an arithmetic number, because the mean of its divisors is an integer number (1343825640).

Almost surely, 231042368126 is an apocalyptic number.

31042368126 is an abundant number, since it is smaller than the sum of its proper divisors (54962472834).

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

31042368126 is a wasteful number, since it uses less digits than its factorization.

31042368126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7465726 (or 7465720 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31042368126 in words is "thirty-one billion, forty-two million, three hundred sixty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 7465697 14931394 22397091 44794182 52259879 67191273 82122667 104519758 134382546 156779637 164245334 201573819 246368001 313559274 403147638 470338911 492736002 574858669 739104003 940677822 1149717338 1411016733 1478208006 1724576007 2217312009 2822033466 3449152014 4434624018 5173728021 10347456042 15521184063 31042368126