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4140004240 = 245192723687
BaseRepresentation
bin1111011011000011…
…0111001110010000
3101200112011000011101
43312300313032100
531434320113430
61522450354144
7204410312131
oct36660671620
911615130141
104140004240
111834a19509
1297658b954
1350c930968
142b3b99c88
151936ccdca
hexf6c37390

4140004240 has 40 divisors (see below), whose sum is σ = 10132119360. Its totient is φ = 1568843136.

The previous prime is 4140004229. The next prime is 4140004247. The reversal of 4140004240 is 424000414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4140004247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1360324 + ... + 1363363.

It is an arithmetic number, because the mean of its divisors is an integer number (253302984).

Almost surely, 24140004240 is an apocalyptic number.

4140004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140004240 is an abundant number, since it is smaller than the sum of its proper divisors (5992115120).

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

4140004240 is a wasteful number, since it uses less digits than its factorization.

4140004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723719 (or 2723713 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4140004240 is about 64342.8647170764. The cubic root of 4140004240 is about 1605.7093217957.

Adding to 4140004240 its reverse (424000414), we get a palindrome (4564004654).

The spelling of 4140004240 in words is "four billion, one hundred forty million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2723687 5447374 10894748 13618435 21789496 27236870 43578992 51750053 54473740 103500106 108947480 207000212 217894960 258750265 414000424 517500530 828000848 1035001060 2070002120 4140004240