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40134414120 = 23353110788821
BaseRepresentation
bin100101011000001100…
…101000111100101000
310211121000222111000020
4211120030220330220
51124143402222440
630234255440440
72620365614463
oct453014507450
9124530874006
1040134414120
1116025915399
127940b26120
133a27b85248
141d2a39a2da
15109d6d83d0
hex958328f28

40134414120 has 64 divisors (see below), whose sum is σ = 124287229440. Its totient is φ = 10357267200.

The previous prime is 40134414101. The next prime is 40134414149. The reversal of 40134414120 is 2141443104.

It is a super-2 number, since 2×401344141202 (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5390691 + ... + 5398130.

It is an arithmetic number, because the mean of its divisors is an integer number (1941987960).

Almost surely, 240134414120 is an apocalyptic number.

40134414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40134414120 is an abundant number, since it is smaller than the sum of its proper divisors (84152815320).

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

40134414120 is a wasteful number, since it uses less digits than its factorization.

40134414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788866 (or 10788862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40134414120 its reverse (2141443104), we get a palindrome (42275857224).

The spelling of 40134414120 in words is "forty billion, one hundred thirty-four million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 10788821 21577642 32366463 43155284 53944105 64732926 86310568 107888210 129465852 161832315 215776420 258931704 323664630 334453451 431552840 647329260 668906902 1003360353 1294658520 1337813804 1672267255 2006720706 2675627608 3344534510 4013441412 5016801765 6689069020 8026882824 10033603530 13378138040 20067207060 40134414120