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31630940040 = 23357127296503
BaseRepresentation
bin11101011101010110…
…011101011110001000
310000122102012020111210
4131131112131132020
51004240010040130
622310412453120
72166562361040
oct353526353610
9100572166453
1031630940040
1112461928467
12616917a1a0
132ca124198b
141760cb4720
15c51dda5b0
hex75d59d788

31630940040 has 128 divisors (see below), whose sum is σ = 109303234560. Its totient is φ = 7172976384.

The previous prime is 31630940039. The next prime is 31630940041. The reversal of 31630940040 is 4004903613.

It is an interprime number because it is at equal distance from previous prime (31630940039) and next prime (31630940041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31630940041) 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, 41572 + ... + 254931.

It is an arithmetic number, because the mean of its divisors is an integer number (853931520).

Almost surely, 231630940040 is an apocalyptic number.

31630940040 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 31630940040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54651617280).

31630940040 is an abundant number, since it is smaller than the sum of its proper divisors (77672294520).

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

31630940040 is a wasteful number, since it uses less digits than its factorization.

31630940040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296651 (or 296647 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 31630940040 in words is "thirty-one billion, six hundred thirty million, nine hundred forty thousand, 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 84 105 120 127 140 168 210 254 280 381 420 508 635 762 840 889 1016 1270 1524 1778 1905 2540 2667 3048 3556 3810 4445 5080 5334 7112 7620 8890 10668 13335 15240 17780 21336 26670 35560 53340 106680 296503 593006 889509 1186012 1482515 1779018 2075521 2372024 2965030 3558036 4151042 4447545 5930060 6226563 7116072 8302084 8895090 10377605 11860120 12453126 16604168 17790180 20755210 24906252 31132815 35580360 37655881 41510420 49812504 62265630 75311762 83020840 112967643 124531260 150623524 188279405 225935286 249062520 263591167 301247048 376558810 451870572 527182334 564838215 753117620 790773501 903741144 1054364668 1129676430 1317955835 1506235240 1581547002 2108729336 2259352860 2635911670 3163094004 3953867505 4518705720 5271823340 6326188008 7907735010 10543646680 15815470020 31630940040