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40121424400 = 2452100303561
BaseRepresentation
bin100101010111011011…
…000101101000010000
310211120010112112110111
4211113123011220100
51124132041040100
630233113211104
72620150323541
oct452733055020
9124503475414
1040121424400
1116019552a92
127938700a94
133a25287915
141d287784c8
15109c4be6ba
hex9576c5a10

40121424400 has 30 divisors (see below), whose sum is σ = 96391723082. Its totient is φ = 16048569600.

The previous prime is 40121424373. The next prime is 40121424419. The reversal of 40121424400 is 442412104.

It can be written as a sum of positive squares in 3 ways, for example, as 1183084816 + 38938339584 = 34396^2 + 197328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50151381 + ... + 50152180.

Almost surely, 240121424400 is an apocalyptic number.

40121424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40121424400 is an abundant number, since it is smaller than the sum of its proper divisors (56270298682).

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

40121424400 is a wasteful number, since it uses less digits than its factorization.

40121424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100303579 (or 100303568 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 40121424400 its reverse (442412104), we get a palindrome (40563836504).

The spelling of 40121424400 in words is "forty billion, one hundred twenty-one million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100303561 200607122 401214244 501517805 802428488 1003035610 1604856976 2006071220 2507589025 4012142440 5015178050 8024284880 10030356100 20060712200 40121424400