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142243290972 = 22342915138707
BaseRepresentation
bin1000010001111001011…
…1000101111101011100
3111121011011211212110000
42010132113011331130
54312303240302342
6145202355214300
713163631011136
oct2043627057534
9447134755400
10142243290972
11553636a1922
1223698ba7390
131054b5700c3
146c55538056
153a77b4044c
hex211e5c5f5c

142243290972 has 60 divisors (see below), whose sum is σ = 384674570280. Its totient is φ = 45779446944.

The previous prime is 142243290941. The next prime is 142243290979. The reversal of 142243290972 is 279092342241.

142243290972 is a `hidden beast` number, since 1 + 42 + 2 + 432 + 90 + 97 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142243290979) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7559958 + ... + 7578749.

It is an arithmetic number, because the mean of its divisors is an integer number (6411242838).

Almost surely, 2142243290972 is an apocalyptic number.

142243290972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142243290972 is an abundant number, since it is smaller than the sum of its proper divisors (242431279308).

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

142243290972 is a wasteful number, since it uses less digits than its factorization.

142243290972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15138752 (or 15138741 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 142243290972 in words is "one hundred forty-two billion, two hundred forty-three million, two hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 15138707 30277414 45416121 60554828 90832242 136248363 181664484 272496726 408745089 439022503 544993452 817490178 878045006 1226235267 1317067509 1634980356 1756090012 2452470534 2634135018 3951202527 4904941068 5268270036 7902405054 11853607581 15804810108 23707215162 35560822743 47414430324 71121645486 142243290972