Search a number
-
+
6142317686442 = 233716249517689
BaseRepresentation
bin101100101100001111010…
…1010011110111010101010
3210202012101200101002202000
41121120132222132322222
51301113431311431232
621021424120551430
71202524233613620
oct131303652367252
923665350332660
106142317686442
111a58a40227733
12832509922576
133572ab14a292
1417340b171510
15a9b983c127c
hex5961ea9eeaa

6142317686442 has 32 divisors (see below), whose sum is σ = 15599536982400. Its totient is φ = 1754947910304.

The previous prime is 6142317686431. The next prime is 6142317686443. The reversal of 6142317686442 is 2446867132416.

6142317686442 is a `hidden beast` number, since 6 + 1 + 4 + 23 + 176 + 8 + 6 + 442 = 666.

It is a super-2 number, since 2×61423176864422 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6142317686443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8124758467 + ... + 8124759222.

It is an arithmetic number, because the mean of its divisors is an integer number (487485530700).

Almost surely, 26142317686442 is an apocalyptic number.

6142317686442 is an abundant number, since it is smaller than the sum of its proper divisors (9457219295958).

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

6142317686442 is a wasteful number, since it uses less digits than its factorization.

6142317686442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249517707 (or 16249517701 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 6142317686442 in words is "six trillion, one hundred forty-two billion, three hundred seventeen million, six hundred eighty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 16249517689 32499035378 48748553067 97497106134 113746623823 146245659201 227493247646 292491318402 341239871469 438736977603 682479742938 877473955206 1023719614407 2047439228814 3071158843221 6142317686442