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20402440040 = 2357313751001
BaseRepresentation
bin10011000000000101…
…001000011101101000
31221122212210100012102
4103000011020131220
5313241011040130
613212303032532
71321406610323
oct230005103550
957585710172
1020402440040
11871a7111a4
123b5489b748
131c01b91a38
14db79237ba
157e6262645
hex4c0148768

20402440040 has 64 divisors (see below), whose sum is σ = 46874918160. Its totient is φ = 7990272000.

The previous prime is 20402439997. The next prime is 20402440067. The reversal of 20402440040 is 4004420402.

It can be written as a sum of positive squares in 8 ways, for example, as 13638035524 + 6764404516 = 116782^2 + 82246^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20402439994 and 20402440021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374540 + ... + 425540.

Almost surely, 220402440040 is an apocalyptic number.

20402440040 is a gapful number since it is divisible by the number (20) 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 20402440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23437459080).

20402440040 is an abundant number, since it is smaller than the sum of its proper divisors (26472478120).

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

20402440040 is a wasteful number, since it uses less digits than its factorization.

20402440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51222 (or 51218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20402440040 its reverse (4004420402), we get a palindrome (24406860442).

The spelling of 20402440040 in words is "twenty billion, four hundred two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 274 292 365 548 584 685 730 1096 1370 1460 2740 2920 5480 10001 20002 40004 50005 51001 80008 100010 102002 200020 204004 255005 400040 408008 510010 1020020 2040040 3723073 6987137 7446146 13974274 14892292 18615365 27948548 29784584 34935685 37230730 55897096 69871370 74461460 139742740 148922920 279485480 510061001 1020122002 2040244004 2550305005 4080488008 5100610010 10201220020 20402440040