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31913157024 = 25327137115547
BaseRepresentation
bin11101101110001011…
…000010000110100000
310001101002020100102200
4131232023002012200
51010324232011044
622354413413200
72206560234060
oct355613020640
9101332210380
1031913157024
1112597166241
12622779a200
133017854488
14178a5793a0
15c6ba85369
hex76e2c21a0

31913157024 has 144 divisors (see below), whose sum is σ = 104475728448. Its totient is φ = 9051411456.

The previous prime is 31913157007. The next prime is 31913157071. The reversal of 31913157024 is 42075131913.

31913157024 is a `hidden beast` number, since 31 + 9 + 1 + 31 + 570 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31913157024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218419 + ... + 333965.

It is an arithmetic number, because the mean of its divisors is an integer number (725525892).

Almost surely, 231913157024 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 31913157024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52237864224).

31913157024 is an abundant number, since it is smaller than the sum of its proper divisors (72562571424).

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

31913157024 is a wasteful number, since it uses less digits than its factorization.

31913157024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115707 (or 115696 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 31913157024 its reverse (42075131913), we get a palindrome (73988288937).

The spelling of 31913157024 in words is "thirty-one billion, nine hundred thirteen million, one hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 168 224 252 274 288 336 411 504 548 672 822 959 1008 1096 1233 1644 1918 2016 2192 2466 2877 3288 3836 4384 4932 5754 6576 7672 8631 9864 11508 13152 15344 17262 19728 23016 30688 34524 39456 46032 69048 92064 115547 138096 231094 276192 346641 462188 693282 808829 924376 1039923 1386564 1617658 1848752 2079846 2426487 2773128 3235316 3697504 4159692 4852974 5546256 6470632 7279461 8319384 9705948 11092512 12941264 14558922 15829939 16638768 19411896 25882528 29117844 31659878 33277536 38823792 47489817 58235688 63319756 77647584 94979634 110809573 116471376 126639512 142469451 189959268 221619146 232942752 253279024 284938902 332428719 379918536 443238292 506558048 569877804 664857438 759837072 886476584 997286157 1139755608 1329714876 1519674144 1772953168 1994572314 2279511216 2659429752 3545906336 3989144628 4559022432 5318859504 7978289256 10637719008 15956578512 31913157024