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32113400040 = 2332589203889
BaseRepresentation
bin11101111010000110…
…111001100011101000
310001220001000202012200
4131322012321203220
51011232012300130
622430325340200
72214541253001
oct357206714350
9101801022180
1032113400040
111268a1a4837
126282867660
13304a195277
1417a8dc21a8
15c7e43b760
hex77a1b98e8

32113400040 has 48 divisors (see below), whose sum is σ = 104368551300. Its totient is φ = 8563573248.

The previous prime is 32113400023. The next prime is 32113400087. The reversal of 32113400040 is 4000431123.

32113400040 is a `hidden beast` number, since 321 + 1 + 340 + 0 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31907247876 + 206152164 = 178626^2 + 14358^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32113399986 and 32113400022.

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, 44601585 + ... + 44602304.

Almost surely, 232113400040 is an apocalyptic number.

32113400040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32113400040 is an abundant number, since it is smaller than the sum of its proper divisors (72255151260).

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

32113400040 is a wasteful number, since it uses less digits than its factorization.

32113400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89203906 (or 89203899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32113400040 its reverse (4000431123), we get a palindrome (36113831163).

The spelling of 32113400040 in words is "thirty-two billion, one hundred thirteen million, four hundred 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 89203889 178407778 267611667 356815556 446019445 535223334 713631112 802835001 892038890 1070446668 1338058335 1605670002 1784077780 2140893336 2676116670 3211340004 3568155560 4014175005 5352233340 6422680008 8028350010 10704466680 16056700020 32113400040