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31232413140 = 22356717344909
BaseRepresentation
bin11101000101100110…
…001100110111010100
32222121122021222101020
4131011212030313110
51002430444210030
622203055001140
72153653063035
oct350546146724
988548258336
1031232413140
1112277979295
1260778091b0
132c397c7a46
141723db4a8c
15c2be18510
hex74598cdd4

31232413140 has 96 divisors (see below), whose sum is σ = 89271020160. Its totient is φ = 8156729856.

The previous prime is 31232413109. The next prime is 31232413159. The reversal of 31232413140 is 4131423213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31232413140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673006 + ... + 717914.

It is an arithmetic number, because the mean of its divisors is an integer number (929906460).

Almost surely, 231232413140 is an apocalyptic number.

31232413140 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 31232413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44635510080).

31232413140 is an abundant number, since it is smaller than the sum of its proper divisors (58038607020).

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

31232413140 is a wasteful number, since it uses less digits than its factorization.

31232413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45161 (or 45159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31232413140 its reverse (4131423213), we get a palindrome (35363836353).

The spelling of 31232413140 in words is "thirty-one billion, two hundred thirty-two million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 173 201 268 335 346 402 519 670 692 804 865 1005 1038 1340 1730 2010 2076 2595 3460 4020 5190 10380 11591 23182 34773 44909 46364 57955 69546 89818 115910 134727 139092 173865 179636 224545 231820 269454 347730 449090 538908 673635 695460 898180 1347270 2694540 3008903 6017806 7769257 9026709 12035612 15044515 15538514 18053418 23307771 30089030 31077028 36106836 38846285 45133545 46615542 60178060 77692570 90267090 93231084 116538855 155385140 180534180 233077710 466155420 520540219 1041080438 1561620657 2082160876 2602701095 3123241314 5205402190 6246482628 7808103285 10410804380 15616206570 31232413140