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40112221200 = 2435233426851
BaseRepresentation
bin100101010110110111…
…111110110000010000
310211112111012222001020
4211112313332300100
51124122212034300
630232144035440
72620006153212
oct452667766020
9124474188036
1040112221200
1116014337537
127935602b80
133a233b493c
141d274605b2
15109b7a28a0
hex956dfec10

40112221200 has 60 divisors (see below), whose sum is σ = 128492819088. Its totient is φ = 10696592000.

The previous prime is 40112221183. The next prime is 40112221211. The reversal of 40112221200 is 212221104.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40112221200.

It is an unprimeable number.

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, 16712226 + ... + 16714625.

Almost surely, 240112221200 is an apocalyptic number.

40112221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40112221200 is an abundant number, since it is smaller than the sum of its proper divisors (88380597888).

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

40112221200 is a wasteful number, since it uses less digits than its factorization.

40112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33426872 (or 33426861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 40112221200 its reverse (212221104), we get a palindrome (40324442304).

The spelling of 40112221200 in words is "forty billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 33426851 66853702 100280553 133707404 167134255 200561106 267414808 334268510 401122212 501402765 534829616 668537020 802244424 835671275 1002805530 1337074040 1604488848 1671342550 2005611060 2507013825 2674148080 3342685100 4011222120 5014027650 6685370200 8022444240 10028055300 13370740400 20056110600 40112221200