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40131403440 = 2435167214181
BaseRepresentation
bin100101011000000001…
…001001111010110000
310211120211022112010120
4211120001021322300
51124142114402230
630234111130240
72620331205132
oct453001117260
9124524275116
1040131403440
1116024149427
12793bb13980
133a2736ca8b
141d29c15052
15109d2e1310
hex958049eb0

40131403440 has 40 divisors (see below), whose sum is σ = 124407351408. Its totient is φ = 10701707520.

The previous prime is 40131403363. The next prime is 40131403453. The reversal of 40131403440 is 4430413104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401314034402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40131403440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83606851 + ... + 83607330.

Almost surely, 240131403440 is an apocalyptic number.

40131403440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40131403440 is an abundant number, since it is smaller than the sum of its proper divisors (84275947968).

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

40131403440 is a wasteful number, since it uses less digits than its factorization.

40131403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167214197 (or 167214191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40131403440 its reverse (4430413104), we get a palindrome (44561816544).

The spelling of 40131403440 in words is "forty billion, one hundred thirty-one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 167214181 334428362 501642543 668856724 836070905 1003285086 1337713448 1672141810 2006570172 2508212715 2675426896 3344283620 4013140344 5016425430 6688567240 8026280688 10032850860 13377134480 20065701720 40131403440