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40620314196 = 22327311231877
BaseRepresentation
bin100101110101001010…
…001100111001010100
310212211220021202121100
4211311022030321110
51131142300023241
630354414150100
72635415655000
oct456512147124
9125756252540
1040620314196
1116255121300
127a577b2330
133aa4741597
141d74b21700
1510cb1b89b6
hex97528ce54

40620314196 has 432 divisors, whose sum is σ = 136018355200. Its totient is φ = 10198742400.

The previous prime is 40620314093. The next prime is 40620314261. The reversal of 40620314196 is 69141302604.

40620314196 is a `hidden beast` number, since 4 + 0 + 620 + 3 + 14 + 19 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40620314196.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 46316910 + ... + 46317786.

Almost surely, 240620314196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40620314196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68009177600).

40620314196 is an abundant number, since it is smaller than the sum of its proper divisors (95398041004).

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

40620314196 is a wasteful number, since it uses less digits than its factorization.

40620314196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40620314196 in words is "forty billion, six hundred twenty million, three hundred fourteen thousand, one hundred ninety-six".