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4140136512 = 263229247853
BaseRepresentation
bin1111011011000101…
…0111100001000000
3101200112101201121100
43312301113201000
531434333332022
61522453254400
7204411402561
oct36661274100
911615351540
104140136512
111834aa9926
12976634400
1350c978c25
142b3bd2168
151937071ac
hexf6c57840

4140136512 has 84 divisors (see below), whose sum is σ = 12276208620. Its totient is φ = 1332452352.

The previous prime is 4140136501. The next prime is 4140136519. The reversal of 4140136512 is 2156310414.

It is a happy number.

4140136512 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 3 + 651 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1311598656 + 2828537856 = 36216^2 + 53184^2 .

It is a super-2 number, since 2×41401365122 = 34281460675991052288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4140136519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107223 + ... + 140630.

Almost surely, 24140136512 is an apocalyptic number.

It is an amenable number.

4140136512 is an abundant number, since it is smaller than the sum of its proper divisors (8136072108).

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

4140136512 is a wasteful number, since it uses less digits than its factorization.

4140136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247900 (or 247887 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4140136512 is about 64343.8925773068. The cubic root of 4140136512 is about 1605.7264222711.

Adding to 4140136512 its reverse (2156310414), we get a palindrome (6296446926).

The spelling of 4140136512 in words is "four billion, one hundred forty million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 247853 495706 743559 991412 1487118 1982824 2230677 2974236 3965648 4461354 5948472 7187737 7931296 8922708 11896944 14375474 15862592 17845416 21563211 23793888 28750948 35690832 43126422 47587776 57501896 64689633 71381664 86252844 115003792 129379266 142763328 172505688 230007584 258758532 345011376 460015168 517517064 690022752 1035034128 1380045504 2070068256 4140136512