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4004044444440 = 23325101207109897
BaseRepresentation
bin111010010001000011101…
…001011001001100011000
3112011210010202000202200200
4322101003221121030120
51011100240334210230
612303233240302200
7562165645135245
oct72210351311430
915153122022620
104004044444440
111304118781637
12548016471960
1323076c9ab921
14dbb225425cc
156e24b0ae160
hex3a443a59318

4004044444440 has 96 divisors (see below), whose sum is σ = 13013391437280. Its totient is φ = 1067724919296.

The previous prime is 4004044444369. The next prime is 4004044444457. The reversal of 4004044444440 is 444444404004.

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

It is a junction number, because it is equal to n+sod(n) for n = 4004044444395 and 4004044444404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36379572 + ... + 36489468.

It is an arithmetic number, because the mean of its divisors is an integer number (135556160805).

Almost surely, 24004044444440 is an apocalyptic number.

4004044444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004044444440 is an abundant number, since it is smaller than the sum of its proper divisors (9009346992840).

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

4004044444440 is a wasteful number, since it uses less digits than its factorization.

4004044444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211121 (or 211114 counting only the distinct ones).

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

Adding to 4004044444440 its reverse (444444404004), we get a palindrome (4448488848444).

The spelling of 4004044444440 in words is "four trillion, four billion, forty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 101207 109897 202414 219794 303621 329691 404828 439588 506035 549485 607242 659382 809656 879176 910863 989073 1012070 1098970 1214484 1318764 1518105 1648455 1821726 1978146 2024140 2197940 2428968 2637528 3036210 3296910 3643452 3956292 4048280 4395880 4554315 4945365 6072420 6593820 7286904 7912584 9108630 9890730 12144840 13187640 18217260 19781460 36434520 39562920 11122345679 22244691358 33367037037 44489382716 55611728395 66734074074 88978765432 100101111111 111223456790 133468148148 166835185185 200202222222 222446913580 266936296296 333670370370 400404444444 444893827160 500505555555 667340740740 800808888888 1001011111110 1334681481480 2002022222220 4004044444440