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400000404400 = 24521000001011
BaseRepresentation
bin1011101001000011110…
…00011100101110110000
31102020110201022220201121
411310201320130232300
523023200100420100
6503431352512024
740620245224012
oct5644170345660
91366421286647
10400000404400
11144703889213
12656333ab614
132b94875042c
141550826a1b2
15a61197851a
hex5d21e1cbb0

400000404400 has 30 divisors (see below), whose sum is σ = 961000972532. Its totient is φ = 160000161600.

The previous prime is 400000404383. The next prime is 400000404403. The reversal of 400000404400 is 4404000004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (400000404403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500000106 + ... + 500000905.

Almost surely, 2400000404400 is an apocalyptic number.

400000404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400000404400 is an abundant number, since it is smaller than the sum of its proper divisors (561000568132).

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

400000404400 is a wasteful number, since it uses less digits than its factorization.

400000404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000001029 (or 1000001018 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 400000404400 its reverse (4404000004), we get a palindrome (404404404404).

The spelling of 400000404400 in words is "four hundred billion, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1000001011 2000002022 4000004044 5000005055 8000008088 10000010110 16000016176 20000020220 25000025275 40000040440 50000050550 80000080880 100000101100 200000202200 400000404400