Search a number
-
+
104934731142 = 231311109120383
BaseRepresentation
bin110000110111010011…
…0001110110110000110
3101000212002012122202210
41201232212032312012
53204401242344032
6120112323244250
710403244332523
oct1415646166606
9330762178683
10104934731142
1140558a136aa
1218406519686
139b83c980b7
1451165b214a
152ae259c2cc
hex186e98ed86

104934731142 has 32 divisors (see below), whose sum is σ = 211663964160. Its totient is φ = 34679646560.

The previous prime is 104934731141. The next prime is 104934731173. The reversal of 104934731142 is 241137439401.

It is a happy number.

It is a super-2 number, since 2×1049347311422 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104934731142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104934731141) 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 15 ways as a sum of consecutive naturals, for example, 811483 + ... + 931865.

It is an arithmetic number, because the mean of its divisors is an integer number (6614498880).

Almost surely, 2104934731142 is an apocalyptic number.

104934731142 is an abundant number, since it is smaller than the sum of its proper divisors (106729233018).

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

104934731142 is a wasteful number, since it uses less digits than its factorization.

104934731142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121628.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 104934731142 in words is "one hundred four billion, nine hundred thirty-four million, seven hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 131 262 393 786 1109 2218 3327 6654 120383 145279 240766 290558 361149 435837 722298 871674 15770173 31540346 47310519 94621038 133504747 267009494 400514241 801028482 17489121857 34978243714 52467365571 104934731142