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31342326444 = 2232111312747939
BaseRepresentation
bin11101001100001001…
…011111001010101100
32222220022010011002100
4131030021133022230
51003142113421234
622222022455100
72156456244012
oct351411371254
988808104070
1031342326444
1112323a20830
1260a8594490
132c564cc7c0
1417348268b2
15c368ca399
hex74c25f2ac

31342326444 has 144 divisors (see below), whose sum is σ = 93812060160. Its totient is φ = 8697870720.

The previous prime is 31342326443. The next prime is 31342326479. The reversal of 31342326444 is 44462324313.

31342326444 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 2 + 3 + 2 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 31342326399 and 31342326408.

It is not an unprimeable number, because it can be changed into a prime (31342326443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629827 + ... + 677765.

It is an arithmetic number, because the mean of its divisors is an integer number (651472640).

Almost surely, 231342326444 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 31342326444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46906030080).

31342326444 is an abundant number, since it is smaller than the sum of its proper divisors (62469733716).

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

31342326444 is a wasteful number, since it uses less digits than its factorization.

31342326444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48100 (or 48095 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 31342326444 in words is "thirty-one billion, three hundred forty-two million, three hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 127 132 143 156 198 234 254 286 381 396 429 468 508 572 762 858 1143 1287 1397 1524 1651 1716 2286 2574 2794 3302 4191 4572 4953 5148 5588 6604 8382 9906 12573 14859 16764 18161 19812 25146 29718 36322 47939 50292 54483 59436 72644 95878 108966 143817 163449 191756 217932 287634 326898 431451 527329 575268 623207 653796 862902 1054658 1246414 1581987 1725804 1869621 2109316 2492828 3163974 3739242 4745961 5608863 6088253 6327948 6855277 7478484 9491922 11217726 12176506 13710554 18264759 18983844 20565831 22435452 24353012 27421108 36529518 41131662 54794277 61697493 66970783 73059036 79147289 82263324 109588554 123394986 133941566 158294578 200912349 219177108 237441867 246789972 267883132 316589156 401824698 474883734 602737047 712325601 803649396 870620179 949767468 1205474094 1424651202 1741240358 2410948188 2611860537 2849302404 3482480716 5223721074 7835581611 10447442148 15671163222 31342326444