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40134516372 = 22321114847677
BaseRepresentation
bin100101011000001101…
…000001111010010100
310211121001011200021100
4211120031001322110
51124143414010442
630234301550100
72620366521546
oct453015017224
9124531150240
1040134516372
11160259851a5
127940b75330
133a27bbc952
141d2a3c5696
15109d70884c
hex958341e94

40134516372 has 18 divisors (see below), whose sum is σ = 101451138698. Its totient is φ = 13378172112.

The previous prime is 40134516371. The next prime is 40134516403. The reversal of 40134516372 is 27361543104.

40134516372 is a `hidden beast` number, since 4 + 0 + 13 + 4 + 5 + 1 + 637 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40114481796 + 20034576 = 200286^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×401345163722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1114847677 = 40134516372 / (4 + 0 + 1 + 3 + 4 + 5 + 1 + 6 + 3 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40134516371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557423803 + ... + 557423874.

Almost surely, 240134516372 is an apocalyptic number.

It is an amenable number.

40134516372 is an abundant number, since it is smaller than the sum of its proper divisors (61316622326).

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

40134516372 is a wasteful number, since it uses less digits than its factorization.

40134516372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114847687 (or 1114847682 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40134516372 in words is "forty billion, one hundred thirty-four million, five hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1114847677 2229695354 3344543031 4459390708 6689086062 10033629093 13378172124 20067258186 40134516372