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41204304144 = 2432317902653
BaseRepresentation
bin100110010111111101…
…111100100100010000
310221100121011112012200
4212113331330210100
51133341300213034
630532355123200
72656036543413
oct462775744420
9127317145180
1041204304144
1116524834623
127b9b2a3500
133b68722b73
141dcc4dbb7a
1511125c2a99
hex997f7c910

41204304144 has 60 divisors (see below), whose sum is σ = 115678720716. Its totient is φ = 13691425536.

The previous prime is 41204304139. The next prime is 41204304157. The reversal of 41204304144 is 44140340214.

41204304144 is a `hidden beast` number, since 41 + 204 + 3 + 0 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9917769744 + 31286534400 = 99588^2 + 176880^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 405679 + ... + 496974.

Almost surely, 241204304144 is an apocalyptic number.

It is an amenable number.

41204304144 is an abundant number, since it is smaller than the sum of its proper divisors (74474416572).

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

41204304144 is a wasteful number, since it uses less digits than its factorization.

41204304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902984 (or 902975 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41204304144 its reverse (44140340214), we get a palindrome (85344644358).

The spelling of 41204304144 in words is "forty-one billion, two hundred four million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 11412 15216 22824 45648 902653 1805306 2707959 3610612 5415918 7221224 8123877 10831836 14442448 16247754 21663672 32495508 43327344 64991016 129982032 286141001 572282002 858423003 1144564004 1716846006 2289128008 2575269009 3433692012 4578256016 5150538018 6867384024 10301076036 13734768048 20602152072 41204304144