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400044444444 = 223237300333667
BaseRepresentation
bin1011101001001001000…
…00011100101100011100
31102020120210012101022100
411310210200130230130
523023242334210234
6503440004445100
740621321446441
oct5644440345434
91366523171270
10400044444444
11144726729147
12656460a9790
132b9548ccb28
14155100519c8
15a615777399
hex5d2481cb1c

400044444444 has 36 divisors (see below), whose sum is σ = 1038553823944. Its totient is φ = 129744143712.

The previous prime is 400044444403. The next prime is 400044444451. The reversal of 400044444444 is 444444440004.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4000444444443 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

400044444444 is a modest number, since divided by 444444 gives 400044 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 400044444399 and 400044444408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150165502 + ... + 150168165.

Almost surely, 2400044444444 is an apocalyptic number.

It is an amenable number.

400044444444 is an abundant number, since it is smaller than the sum of its proper divisors (638509379500).

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

400044444444 is a wasteful number, since it uses less digits than its factorization.

400044444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300333714 (or 300333709 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 400044444444 its reverse (444444440004), we get a palindrome (844488884448).

The spelling of 400044444444 in words is "four hundred billion, forty-four million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 300333667 600667334 901001001 1201334668 1802002002 2703003003 3604004004 5406006006 10812012012 11112345679 22224691358 33337037037 44449382716 66674074074 100011111111 133348148148 200022222222 400044444444