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1140656013 = 34719113937
BaseRepresentation
bin100001111111101…
…0000011110001101
32221111100022220000
41003333100132031
54314001443023
6305104114513
740160262510
oct10377203615
92844308800
101140656013
11535963822
1227a005a39
13152416cb3
14ab6c2d77
156a217243
hex43fd078d

1140656013 has 80 divisors (see below), whose sum is σ = 2070203520. Its totient is φ = 611380224.

The previous prime is 1140656009. The next prime is 1140656053. The reversal of 1140656013 is 3106560411.

1140656013 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 656 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 1140656013 - 22 = 1140656009 is a prime.

It is a super-2 number, since 2×11406560132 = 2602192279986112338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140656003) 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 79 ways as a sum of consecutive naturals, for example, 1216881 + ... + 1217817.

It is an arithmetic number, because the mean of its divisors is an integer number (25877544).

Almost surely, 21140656013 is an apocalyptic number.

It is an amenable number.

1140656013 is a deficient number, since it is larger than the sum of its proper divisors (929547507).

1140656013 is a wasteful number, since it uses less digits than its factorization.

1140656013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1140656013 is about 33773.5993491958. The cubic root of 1140656013 is about 1044.8442685143.

The spelling of 1140656013 in words is "one billion, one hundred forty million, six hundred fifty-six thousand, thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 81 113 133 171 189 339 399 513 567 791 937 1017 1197 1539 2147 2373 2811 3051 3591 6441 6559 7119 8433 9153 10773 15029 17803 19323 19677 21357 25299 45087 53409 57969 59031 64071 75897 105881 124621 135261 160227 173907 177093 317643 373863 405783 480681 531279 741167 952929 1121589 1217349 1442043 2011739 2223501 2858787 3364767 6035217 6670503 8576361 10094301 14082173 18105651 20011509 42246519 54316953 60034527 126739557 162950859 380218671 1140656013