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142474577220 = 22325791525429
BaseRepresentation
bin1000010010110000100…
…1011000010101000100
3111121202022001102112100
42010230021120111010
54313241442432340
6145241340352100
713202436632103
oct2045411302504
9447668042470
10142474577220
1155472203688
1223742545630
131058745c981
146c7814203a
153a8d0c9830
hex212c258544

142474577220 has 36 divisors (see below), whose sum is σ = 432172884780. Its totient is φ = 37993220544.

The previous prime is 142474577207. The next prime is 142474577257. The reversal of 142474577220 is 22775474241.

142474577220 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 74 + 577 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52290883584 + 90183693636 = 228672^2 + 300306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395762535 + ... + 395762894.

It is an arithmetic number, because the mean of its divisors is an integer number (12004802355).

Almost surely, 2142474577220 is an apocalyptic number.

142474577220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142474577220 is an abundant number, since it is smaller than the sum of its proper divisors (289698307560).

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

142474577220 is a wasteful number, since it uses less digits than its factorization.

142474577220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791525444 (or 791525439 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 142474577220 in words is "one hundred forty-two billion, four hundred seventy-four million, five hundred seventy-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 791525429 1583050858 2374576287 3166101716 3957627145 4749152574 7123728861 7915254290 9498305148 11872881435 14247457722 15830508580 23745762870 28494915444 35618644305 47491525740 71237288610 142474577220