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40070400400 = 2452100176001
BaseRepresentation
bin100101010100011000…
…011100100110010000
310211102120112020200201
4211110120130212100
51124031010303100
630224051424544
72615660532532
oct452430344620
9124376466621
1040070400400
1115aa2772998
1279235b5154
133a178313c4
141d21a95852
151097c9136a
hex95461c990

40070400400 has 30 divisors (see below), whose sum is σ = 96269137922. Its totient is φ = 16028160000.

The previous prime is 40070400397. The next prime is 40070400401. The reversal of 40070400400 is 400407004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8558470144 + 31511930256 = 92512^2 + 177516^2 .

It is not an unprimeable number, because it can be changed into a prime (40070400401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50087601 + ... + 50088400.

Almost surely, 240070400400 is an apocalyptic number.

40070400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40070400400 is an abundant number, since it is smaller than the sum of its proper divisors (56198737522).

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

40070400400 is a wasteful number, since it uses less digits than its factorization.

40070400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100176019 (or 100176008 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

Adding to 40070400400 its reverse (400407004), we get a palindrome (40470807404).

The spelling of 40070400400 in words is "forty billion, seventy million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100176001 200352002 400704004 500880005 801408008 1001760010 1602816016 2003520020 2504400025 4007040040 5008800050 8014080080 10017600100 20035200200 40070400400