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1040040142113 = 37172644926573
BaseRepresentation
bin11110010001001110011…
…10010010010100100001
310200102112012000101121110
433020213032102110201
5114020000234021423
62113442101413533
7135066110226150
oct17104716222441
93612465011543
101040040142113
11371095601335
1214969740a2a9
13770c976451b
14384a40a3597
151c0c1a2c193
hexf227392521

1040040142113 has 48 divisors (see below), whose sum is σ = 1683856195200. Its totient is φ = 559241539584.

The previous prime is 1040040142033. The next prime is 1040040142153. The reversal of 1040040142113 is 3112410400401.

It is not a de Polignac number, because 1040040142113 - 217 = 1040040011041 is a prime.

It is a super-2 number, since 2×10400401421132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1040040142113.

It is not an unprimeable number, because it can be changed into a prime (1040040142153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39125695 + ... + 39152267.

It is an arithmetic number, because the mean of its divisors is an integer number (35080337400).

Almost surely, 21040040142113 is an apocalyptic number.

It is an amenable number.

1040040142113 is a deficient number, since it is larger than the sum of its proper divisors (643816053087).

1040040142113 is a wasteful number, since it uses less digits than its factorization.

1040040142113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33066 (or 33049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1040040142113 its reverse (3112410400401), we get a palindrome (4152450542514).

The spelling of 1040040142113 in words is "one trillion, forty billion, forty million, one hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 7 17 21 51 119 289 357 867 2023 6069 6449 19347 26573 45143 79719 109633 135429 186011 328899 451741 558033 767431 1355223 1863761 2302293 3162187 5591283 7679597 9486561 13046327 23038791 39138981 53757179 161271537 171369277 514107831 1199584939 2913277709 3598754817 8739833127 20392943963 49525721053 61178831889 148577163159 346680047371 1040040142113