Search a number
-
+
142400974789888 = 284311290612083
BaseRepresentation
bin100000011000001101001111…
…100001001001110100000000
3200200012101210202220012220021
4200120031033201021310000
5122131044144021234023
61222510034341223224
741665062622210153
oct4030151741116400
9620171722805807
10142400974789888
1141411a06979501
1213b7a31a401b14
13615c47b534549
14272435b5a7c9a
15116e29976435d
hex81834f849d00

142400974789888 has 36 divisors (see below), whose sum is σ = 284905198767168. Its totient is φ = 71035288993280.

The previous prime is 142400974789849. The next prime is 142400974789901. The reversal of 142400974789888 is 888987479004241.

It is a super-2 number, since 2×1424009747898882 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 645195706 + ... + 645416377.

It is an arithmetic number, because the mean of its divisors is an integer number (7914033299088).

Almost surely, 2142400974789888 is an apocalyptic number.

It is an amenable number.

142400974789888 is an abundant number, since it is smaller than the sum of its proper divisors (142504223977280).

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

142400974789888 is an equidigital number, since it uses as much as digits as its factorization.

142400974789888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290612530 (or 1290612516 counting only the distinct ones).

The product of its (nonzero) digits is 2080899072, while the sum is 79.

The spelling of 142400974789888 in words is "one hundred forty-two trillion, four hundred billion, nine hundred seventy-four million, seven hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 431 862 1724 3448 6896 13792 27584 55168 110336 1290612083 2581224166 5162448332 10324896664 20649793328 41299586656 82599173312 165198346624 330396693248 556253807773 1112507615546 2225015231092 4450030462184 8900060924368 17800121848736 35600243697472 71200487394944 142400974789888