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142372920673800 = 23325279096067041
BaseRepresentation
bin100000010111110011000111…
…010111001100011000001000
3200200002201101122010110102200
4200113303013113030120020
5122130114220143030200
61222445114500200200
741663050461153225
oct4027630727143010
9620081348113380
10142372920673800
114140102007a8a3
1213b749ab099060
13615992a349a5b
142722c5976c94c
15116d6a68ad800
hex817cc75cc608

142372920673800 has 72 divisors (see below), whose sum is σ = 478135725268890. Its totient is φ = 37966112179200.

The previous prime is 142372920673799. The next prime is 142372920673871. The reversal of 142372920673800 is 8376029273241.

It is a happy number.

142372920673800 is a `hidden beast` number, since 1 + 4 + 2 + 37 + 29 + 206 + 7 + 380 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 54255687295716 + 88117233378084 = 7365846^2 + 9387078^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39548031721 + ... + 39548035320.

Almost surely, 2142372920673800 is an apocalyptic number.

142372920673800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142372920673800 is an abundant number, since it is smaller than the sum of its proper divisors (335762804595090).

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

142372920673800 is a wasteful number, since it uses less digits than its factorization.

142372920673800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79096067063 (or 79096067051 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 142372920673800 in words is "one hundred forty-two trillion, three hundred seventy-two billion, nine hundred twenty million, six hundred seventy-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 79096067041 158192134082 237288201123 316384268164 395480335205 474576402246 632768536328 711864603369 790960670410 949152804492 1186441005615 1423729206738 1581921340820 1898305608984 1977401676025 2372882011230 2847458413476 3163842681640 3559323016845 3954803352050 4745764022460 5694916826952 5932205028075 7118646033690 7909606704100 9491528044920 11864410056150 14237292067380 15819213408200 17796615084225 23728820112300 28474584134760 35593230168450 47457640224600 71186460336900 142372920673800