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40444040004400 = 2452145916929621
BaseRepresentation
bin10010011001000100111001…
…01000110100001100110000
312022012102010200112101222101
421030202130220310030300
520300113343220120100
6222003422510350144
711342662004566024
oct1114423450641460
9168172120471871
1040444040004400
111198324823261a
1246523ab1bb354
131974b19c755b6
149db705614384
154a2097b2586a
hex24c89ca34330

40444040004400 has 60 divisors (see below), whose sum is σ = 97173479499264. Its totient is φ = 16176504928000.

The previous prime is 40444040004383. The next prime is 40444040004437. The reversal of 40444040004400 is 440004044404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371590 + ... + 9301210.

Almost surely, 240444040004400 is an apocalyptic number.

40444040004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444040004400 is an abundant number, since it is smaller than the sum of its proper divisors (56729439494864).

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

40444040004400 is a wasteful number, since it uses less digits than its factorization.

40444040004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944230 (or 6944219 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40444040004400 its reverse (440004044404), we get a palindrome (40884044048804).

The spelling of 40444040004400 in words is "forty trillion, four hundred forty-four billion, forty million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14591 29182 58364 72955 116728 145910 233456 291820 364775 583640 729550 1167280 1459100 2918200 5836400 6929621 13859242 27718484 34648105 55436968 69296210 110873936 138592420 173240525 277184840 346481050 554369680 692962100 1385924200 2771848400 101110100011 202220200022 404440400044 505550500055 808880800088 1011101000110 1617761600176 2022202000220 2527752500275 4044404000440 5055505000550 8088808000880 10111010001100 20222020002200 40444040004400