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4444004444440 = 2351119531579479
BaseRepresentation
bin100000010101011001101…
…0011100110100100011000
3120201211202022101110111111
41000222303103212210120
51040302310114210230
613241314130110104
7636032400342061
oct100526323464430
916654668343444
104444004444440
111463767721420
125b934011b334
132630b6005982
1411513b85d568
157a8eabdc92a
hex40ab34e6918

4444004444440 has 64 divisors (see below), whose sum is σ = 11482116768000. Its totient is φ = 1530948896640.

The previous prime is 4444004444339. The next prime is 4444004444531. The reversal of 4444004444440 is 444444004444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4444004444393 and 4444004444402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265781380 + ... + 265798099.

It is an arithmetic number, because the mean of its divisors is an integer number (179408074500).

Almost surely, 24444004444440 is an apocalyptic number.

4444004444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444004444440 is an abundant number, since it is smaller than the sum of its proper divisors (7038112323560).

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

4444004444440 is a wasteful number, since it uses less digits than its factorization.

4444004444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531579520 (or 531579516 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 4444004444440 its reverse (444444004444), we get a palindrome (4888448448884).

The spelling of 4444004444440 in words is "four trillion, four hundred forty-four billion, four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 531579479 1063158958 2126317916 2657897395 4252635832 5315794790 5847374269 10100010101 10631589580 11694748538 20200020202 21263179160 23389497076 29236871345 40400040404 46778994152 50500050505 58473742690 80800080808 101000101010 111100111111 116947485380 202000202020 222200222222 233894970760 404000404040 444400444444 555500555555 888800888888 1111001111110 2222002222220 4444004444440