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140625707040 = 25345713434759
BaseRepresentation
bin1000001011110111110…
…0100000000000100000
3111102222110002002110000
42002331330200000200
54301000140111130
6144334052540000
713105556534040
oct2027574400040
9442873062400
10140625707040
11547036000a5
1223307321600
13103513bb850
146b40787720
1539d0b1b260
hex20bdf20020

140625707040 has 1920 divisors, whose sum is σ = 649142968320. Its totient is φ = 27883118592.

The previous prime is 140625707003. The next prime is 140625707051. The reversal of 140625707040 is 40707526041.

140625707040 is a `hidden beast` number, since 1 + 40 + 6 + 2 + 570 + 7 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140625706986 and 140625707004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2383486531 + ... + 2383486589.

It is an arithmetic number, because the mean of its divisors is an integer number (338095296).

Almost surely, 2140625707040 is an apocalyptic number.

140625707040 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 140625707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324571484160).

140625707040 is an abundant number, since it is smaller than the sum of its proper divisors (508517261280).

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

140625707040 is a wasteful number, since it uses less digits than its factorization.

140625707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 140625707040 in words is "one hundred forty billion, six hundred twenty-five million, seven hundred seven thousand, forty".