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31253227044 = 223133711034909
BaseRepresentation
bin11101000110110101…
…100110011000100100
32222200002110102200120
4131012311212120210
51003001311231134
622205121041540
72154325022004
oct350665463044
988602412616
1031253227044
11122886a5066
1260827862b0
132c40c04770
141726a72004
15c2db7a649
hex746d66624

31253227044 has 96 divisors (see below), whose sum is σ = 80745853440. Its totient is φ = 9346088448.

The previous prime is 31253227039. The next prime is 31253227063. The reversal of 31253227044 is 44072235213.

It is a junction number, because it is equal to n+sod(n) for n = 31253226996 and 31253227014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6364062 + ... + 6368970.

It is an arithmetic number, because the mean of its divisors is an integer number (841102640).

Almost surely, 231253227044 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 31253227044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40372926720).

31253227044 is an abundant number, since it is smaller than the sum of its proper divisors (49492626396).

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

31253227044 is a wasteful number, since it uses less digits than its factorization.

31253227044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 31253227044 in words is "thirty-one billion, two hundred fifty-three million, two hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1103 1443 1924 2206 2886 3309 4412 4909 5772 6618 9818 13236 14339 14727 19636 28678 29454 40811 43017 57356 58908 63817 81622 86034 122433 127634 163244 172068 181633 191451 244866 255268 363266 382902 489732 530543 544899 726532 765804 1061086 1089798 1591629 2122172 2179596 2361229 3183258 4722458 5414627 6366516 7083687 9444916 10829254 14167374 16243881 21658508 28334748 32487762 64975524 70390151 140780302 200341199 211170453 281560604 400682398 422340906 601023597 801364796 844681812 1202047194 2404094388 2604435587 5208871174 7813306761 10417742348 15626613522 31253227044