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40120844040 = 23325111446789
BaseRepresentation
bin100101010111011000…
…110111111100001000
310211120002110001100200
4211113120313330020
51124131414002130
630233052532200
72620142355534
oct452730677410
9124502401320
1040120844040
1116019196a52
127938481060
133a25113704
141d28666bc4
15109c407760
hex957637f08

40120844040 has 48 divisors (see below), whose sum is σ = 130392744300. Its totient is φ = 10698891648.

The previous prime is 40120844009. The next prime is 40120844041. The reversal of 40120844040 is 4044802104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40109675076 + 11168964 = 200274^2 + 3342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40120843995 and 40120844013.

It is not an unprimeable number, because it can be changed into a prime (40120844041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55723035 + ... + 55723754.

Almost surely, 240120844040 is an apocalyptic number.

40120844040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40120844040 is an abundant number, since it is smaller than the sum of its proper divisors (90271900260).

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

40120844040 is a wasteful number, since it uses less digits than its factorization.

40120844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111446806 (or 111446799 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 40120844040 in words is "forty billion, one hundred twenty million, eight hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 111446789 222893578 334340367 445787156 557233945 668680734 891574312 1003021101 1114467890 1337361468 1671701835 2006042202 2228935780 2674722936 3343403670 4012084404 4457871560 5015105505 6686807340 8024168808 10030211010 13373614680 20060422020 40120844040