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20414113040 = 245648139373
BaseRepresentation
bin10011000000110001…
…101010010100010000
31221200200202101112202
4103000301222110100
5313302003104130
613213401142332
71321611045356
oct230061522420
957620671482
1020414113040
118726264302
123b5878a9a8
131c0441ac39
14db92c17d6
157e72bb145
hex4c0c6a510

20414113040 has 40 divisors (see below), whose sum is σ = 47471341848. Its totient is φ = 8164177920.

The previous prime is 20414113001. The next prime is 20414113079. The reversal of 20414113040 is 4031141402.

It is an interprime number because it is at equal distance from previous prime (20414113001) and next prime (20414113079).

It can be written as a sum of positive squares in 4 ways, for example, as 13109334016 + 7304779024 = 114496^2 + 85468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×204141130402 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498794 + ... + 538166.

Almost surely, 220414113040 is an apocalyptic number.

20414113040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414113040 is an abundant number, since it is smaller than the sum of its proper divisors (27057228808).

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

20414113040 is a wasteful number, since it uses less digits than its factorization.

20414113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45867 (or 45861 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20414113040 its reverse (4031141402), we get a palindrome (24445254442).

The spelling of 20414113040 in words is "twenty billion, four hundred fourteen million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6481 12962 25924 32405 39373 51848 64810 78746 103696 129620 157492 196865 259240 314984 393730 518480 629968 787460 1574920 3149840 255176413 510352826 1020705652 1275882065 2041411304 2551764130 4082822608 5103528260 10207056520 20414113040