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104031140040 = 2332519131116101
BaseRepresentation
bin110000011100010111…
…1010011100011001000
3100221112002221110210200
41200320233103203020
53201023432440130
6115442524212200
710341663046242
oct1407057234310
9327462843720
10104031140040
11401349592a3
12181b399a060
139a6ba14cc9
14506c59d092
152a8d0b1760
hex1838bd38c8

104031140040 has 192 divisors, whose sum is σ = 358615857600. Its totient is φ = 26080704000.

The previous prime is 104031140029. The next prime is 104031140051. The reversal of 104031140040 is 40041130401.

104031140040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104031140029) and next prime (104031140051).

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 = 104031139995 and 104031140022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837990 + ... + 954090.

It is an arithmetic number, because the mean of its divisors is an integer number (1867790925).

Almost surely, 2104031140040 is an apocalyptic number.

104031140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104031140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179307928800).

104031140040 is an abundant number, since it is smaller than the sum of its proper divisors (254584717560).

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

104031140040 is a wasteful number, since it uses less digits than its factorization.

104031140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116268 (or 116261 counting only the distinct ones).

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

Adding to 104031140040 its reverse (40041130401), we get a palindrome (144072270441).

The spelling of 104031140040 in words is "one hundred four billion, thirty-one million, one hundred forty thousand, forty".