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32012041140 = 22325337527729
BaseRepresentation
bin11101110100000100…
…001111101110110100
310001121222022011221100
4131310010033232310
51011030040304030
622412305050100
72212200601002
oct356404175664
9101558264840
1032012041140
1112637a65352
126254926930
1330321970a1
141799759a72
15c755b9360
hex77410fbb4

32012041140 has 72 divisors (see below), whose sum is σ = 97391516040. Its totient is φ = 8511197184.

The previous prime is 32012041133. The next prime is 32012041147. The reversal of 32012041140 is 4114021023.

32012041140 is a `hidden beast` number, since 320 + 1 + 204 + 1 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (32012041133) and next prime (32012041147).

It can be written as a sum of positive squares in 4 ways, for example, as 856967076 + 31155074064 = 29274^2 + 176508^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32012041147) 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 23 ways as a sum of consecutive naturals, for example, 203205 + ... + 324524.

It is an arithmetic number, because the mean of its divisors is an integer number (1352659945).

Almost surely, 232012041140 is an apocalyptic number.

32012041140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32012041140 is an abundant number, since it is smaller than the sum of its proper divisors (65379474900).

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

32012041140 is a wasteful number, since it uses less digits than its factorization.

32012041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528081 (or 528076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32012041140 its reverse (4114021023), we get a palindrome (36126062163).

The spelling of 32012041140 in words is "thirty-two billion, twelve million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 10110 12132 15165 20220 30330 60660 527729 1055458 1583187 2110916 2638645 3166374 4749561 5277290 6332748 7915935 9499122 10554580 15831870 18998244 23747805 31663740 47495610 94991220 177844673 355689346 533534019 711378692 889223365 1067068038 1600602057 1778446730 2134136076 2667670095 3201204114 3556893460 5335340190 6402408228 8003010285 10670680380 16006020570 32012041140