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31045871640 = 23357159723143
BaseRepresentation
bin11100111010011110…
…100110100000011000
32222010122021200112210
4130322132212200120
51002040220343030
622132352435120
72146226361210
oct347236464030
988118250483
1031045871640
1112191648963
126025248aa0
132c09c73564
1417072d7240
15c1a86bbb0
hex73a7a6818

31045871640 has 128 divisors (see below), whose sum is σ = 106514242560. Its totient is φ = 7091449344.

The previous prime is 31045871627. The next prime is 31045871711. The reversal of 31045871640 is 4617854013.

It is a super-2 number, since 2×310458716402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1329909 + ... + 1353051.

It is an arithmetic number, because the mean of its divisors is an integer number (832142520).

Almost surely, 231045871640 is an apocalyptic number.

31045871640 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 31045871640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53257121280).

31045871640 is an abundant number, since it is smaller than the sum of its proper divisors (75468370920).

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

31045871640 is a wasteful number, since it uses less digits than its factorization.

31045871640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24761 (or 24757 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 31045871640 in words is "thirty-one billion, forty-five million, eight hundred seventy-one thousand, six 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 1597 3194 4791 6388 7985 9582 11179 12776 15970 19164 22358 23143 23955 31940 33537 38328 44716 46286 47910 55895 63880 67074 69429 89432 92572 95820 111790 115715 134148 138858 162001 167685 185144 191640 223580 231430 268296 277716 324002 335370 347145 447160 462860 486003 555432 648004 670740 694290 810005 925720 972006 1296008 1341480 1388580 1620010 1944012 2430015 2777160 3240020 3888024 4860030 6480040 9720060 19440120 36959371 73918742 110878113 147837484 184796855 221756226 258715597 295674968 369593710 443512452 517431194 554390565 739187420 776146791 887024904 1034862388 1108781130 1293577985 1478374840 1552293582 2069724776 2217562260 2587155970 3104587164 3880733955 4435124520 5174311940 6209174328 7761467910 10348623880 15522935820 31045871640