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41412243240 = 23325532170453
BaseRepresentation
bin100110100100010111…
…001010111100101000
310221220002102221000200
4212210113022330220
51134303013240430
631005144032200
72664143155014
oct464427127450
9127802387020
1041412243240
111662114a315
128038a62660
133b9c829954
14200bd89544
151125999460
hex9a45caf28

41412243240 has 96 divisors (see below), whose sum is σ = 137129283720. Its totient is φ = 10834896384.

The previous prime is 41412243239. The next prime is 41412243259. The reversal of 41412243240 is 4234221414.

41412243240 is a `hidden beast` number, since 4 + 1 + 412 + 2 + 4 + 3 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39922437636 + 1489805604 = 199806^2 + 38598^2 .

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 23 ways as a sum of consecutive naturals, for example, 1066147 + ... + 1104306.

Almost surely, 241412243240 is an apocalyptic number.

41412243240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41412243240 is an abundant number, since it is smaller than the sum of its proper divisors (95717040480).

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

41412243240 is a wasteful number, since it uses less digits than its factorization.

41412243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170523 (or 2170516 counting only the distinct ones).

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

Adding to 41412243240 its reverse (4234221414), we get a palindrome (45646464654).

The spelling of 41412243240 in words is "forty-one billion, four hundred twelve million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 2170453 4340906 6511359 8681812 10852265 13022718 17363624 19534077 21704530 26045436 32556795 39068154 43409060 52090872 65113590 78136308 86818120 97670385 115034009 130227180 156272616 195340770 230068018 260454360 345102027 390681540 460136036 575170045 690204054 781363080 920272072 1035306081 1150340090 1380408108 1725510135 2070612162 2300680180 2760816216 3451020270 4141224324 4601360360 5176530405 6902040540 8282448648 10353060810 13804081080 20706121620 41412243240