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140244442120404 = 2234974462404293
BaseRepresentation
bin11111111000110100110100…
…001001111000000011010100
3200101120020102022012212020000
4133320310310021320003110
5121340231104140323104
61214135223550011300
741353220005031166
oct3770646411700324
9611506368185200
10140244442120404
1140760374459276
121389038baa6b30
136033cc01a1b2b
14268bc1d8da936
15113312e401639
hex7f8d342780d4

140244442120404 has 60 divisors (see below), whose sum is σ = 370406330827764. Its totient is φ = 46266207699456.

The previous prime is 140244442120403. The next prime is 140244442120411. The reversal of 140244442120404 is 404021244442041.

140244442120404 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 4 + 4 + 442 + 1 + 204 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23492051859600 + 116752390260804 = 4846860^2 + 10805202^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140244442120403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2231170719 + ... + 2231233574.

Almost surely, 2140244442120404 is an apocalyptic number.

It is an amenable number.

140244442120404 is an abundant number, since it is smaller than the sum of its proper divisors (230161888707360).

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

140244442120404 is a wasteful number, since it uses less digits than its factorization.

140244442120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462404406 (or 4462404395 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 140244442120404 its reverse (404021244442041), we get a palindrome (544265686562445).

The spelling of 140244442120404 in words is "one hundred forty trillion, two hundred forty-four billion, four hundred forty-two million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 873 1164 1746 2619 3492 5238 7857 10476 15714 31428 4462404293 8924808586 13387212879 17849617172 26774425758 40161638637 53548851516 80323277274 120484915911 160646554548 240969831822 361454747733 432853216421 481939663644 722909495466 865706432842 1298559649263 1445818990932 1731412865684 2597119298526 3895678947789 5194238597052 7791357895578 11687036843367 15582715791156 23374073686734 35061110530101 46748147373468 70122221060202 140244442120404