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40040000040 = 23351719627451
BaseRepresentation
bin100101010010100100…
…011110101000101000
310211100110022202020110
4211102210132220220
51124000220000130
630221044054320
72615141245665
oct452244365050
9124313282213
1040040000040
1115a87599727
1279153943a0
133a11449121
141d1ba20a6c
151095288ab0
hex95291ea28

40040000040 has 64 divisors (see below), whose sum is σ = 127185888960. Its totient is φ = 10049254400.

The previous prime is 40040000027. The next prime is 40040000069. The reversal of 40040000040 is 4000004004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 40039999980 and 40040000025.

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, 9811686 + ... + 9815765.

It is an arithmetic number, because the mean of its divisors is an integer number (1987279515).

Almost surely, 240040000040 is an apocalyptic number.

40040000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040000040 is an abundant number, since it is smaller than the sum of its proper divisors (87145888920).

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

40040000040 is a wasteful number, since it uses less digits than its factorization.

40040000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627482 (or 19627478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 40040000040 its reverse (4000004004), we get a palindrome (44040004044).

The spelling of 40040000040 in words is "forty billion, forty million, forty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 19627451 39254902 58882353 78509804 98137255 117764706 157019608 196274510 235529412 294411765 333666667 392549020 471058824 588823530 667333334 785098040 1001000001 1177647060 1334666668 1668333335 2002000002 2355294120 2669333336 3336666670 4004000004 5005000005 6673333340 8008000008 10010000010 13346666680 20020000020 40040000040