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1140134230035 = 34535910137741
BaseRepresentation
bin10000100101110101010…
…010111011100000010011
311000222212220200220020000
4100211311102323200103
5122134443330330120
62231434225221043
7145241406024363
oct20456522734023
94028786626200
101140134230035
113aa58a060049
12164b70791783
138368b8c7798
143d27b8169a3
151e9ce14e990
hex109754bb813

1140134230035 has 80 divisors (see below), whose sum is σ = 2051777407680. Its totient is φ = 605700944640.

The previous prime is 1140134230033. The next prime is 1140134230043. The reversal of 1140134230035 is 5300324310411.

It is a happy number.

1140134230035 is a `hidden beast` number, since 1 + 14 + 0 + 1 + 342 + 300 + 3 + 5 = 666.

It is not a de Polignac number, because 1140134230035 - 21 = 1140134230033 is a prime.

It is a super-2 number, since 2×11401342300352 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140134229990 and 1140134230008.

It is not an unprimeable number, because it can be changed into a prime (1140134230031) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 147281265 + ... + 147289005.

It is an arithmetic number, because the mean of its divisors is an integer number (25647217596).

Almost surely, 21140134230035 is an apocalyptic number.

1140134230035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1140134230035 is a deficient number, since it is larger than the sum of its proper divisors (911643177645).

1140134230035 is a wasteful number, since it uses less digits than its factorization.

1140134230035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1140134230035 its reverse (5300324310411), we get a palindrome (6440458540446).

The spelling of 1140134230035 in words is "one trillion, one hundred forty billion, one hundred thirty-four million, two hundred thirty thousand, thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 359 405 1013 1077 1795 3039 3231 5065 5385 7741 9117 9693 15195 16155 23223 27351 29079 38705 45585 48465 69669 82053 116115 136755 145395 209007 348345 363667 410265 627021 1045035 1091001 1818335 2779019 3135105 3273003 5455005 7841633 8337057 9819009 13895095 16365015 23524899 25011171 29457027 39208165 41685285 49095045 70574697 75033513 117624495 125055855 147285135 211724091 225100539 352873485 375167565 635172273 1058620455 1125502695 2815146247 3175861365 8445438741 14075731235 25336316223 42227193705 76008948669 126681581115 228026846007 380044743345 1140134230035