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1140124042233 = 331189373115637
BaseRepresentation
bin10000100101110100101…
…100000100001111111001
311000222212012112022012000
4100211310230010033321
5122134433223322413
62231433223011213
7145241223313341
oct20456454041771
94028765468160
101140124042233
113aa584331880
12164b69299b09
138368976b5b7
143d27a323d21
151e9cd2db073
hex10974b043f9

1140124042233 has 64 divisors (see below), whose sum is σ = 1868340038400. Its totient is φ = 681382817280.

The previous prime is 1140124042219. The next prime is 1140124042243. The reversal of 1140124042233 is 3322404210411.

1140124042233 is a `hidden beast` number, since 1 + 1 + 401 + 24 + 0 + 4 + 2 + 233 = 666.

It is not a de Polignac number, because 1140124042233 - 24 = 1140124042217 is a prime.

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 = 1140124042197 and 1140124042206.

It is not an unprimeable number, because it can be changed into a prime (1140124042243) 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 63 ways as a sum of consecutive naturals, for example, 9801691 + ... + 9917327.

It is an arithmetic number, because the mean of its divisors is an integer number (29192813100).

Almost surely, 21140124042233 is an apocalyptic number.

It is an amenable number.

1140124042233 is a deficient number, since it is larger than the sum of its proper divisors (728215996167).

1140124042233 is a wasteful number, since it uses less digits than its factorization.

1140124042233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116119 (or 116113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1140124042233 its reverse (3322404210411), we get a palindrome (4462528252644).

The spelling of 1140124042233 in words is "one trillion, one hundred forty billion, one hundred twenty-four million, forty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 89 99 267 297 373 801 979 1119 2403 2937 3357 4103 8811 10071 12309 26433 33197 36927 99591 110781 115637 298773 346911 365167 896319 1040733 1095501 1272007 3122199 3286503 3816021 9859509 10291693 11448063 30875079 34344189 43132601 92625237 113208623 129397803 277875711 339625869 388193409 474458611 1018877607 1164580227 1423375833 3056632821 3838801489 4270127499 11516404467 12810382497 34549213401 42226816379 103647640203 126680449137 380041347411 1140124042233