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142601124420 = 223255091556441
BaseRepresentation
bin1000010011001110110…
…0000111101001000100
3111122002010011200122200
42010303230013221010
54314021341440140
6145302100554500
713205534362266
oct2046354075104
9448063150580
10142601124420
1155527687447
12237789b2a30
13105a7739981
146c8ac83b36
153a99275030
hex2133b07a44

142601124420 has 72 divisors (see below), whose sum is σ = 433406839320. Its totient is φ = 37952232960.

The previous prime is 142601124377. The next prime is 142601124431. The reversal of 142601124420 is 24421106241.

142601124420 is a `hidden beast` number, since 1 + 4 + 2 + 601 + 12 + 4 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44818583616 + 97782540804 = 211704^2 + 312702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686601 + ... + 869840.

It is an arithmetic number, because the mean of its divisors is an integer number (6019539435).

Almost surely, 2142601124420 is an apocalyptic number.

142601124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142601124420 is an abundant number, since it is smaller than the sum of its proper divisors (290805714900).

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

142601124420 is a wasteful number, since it uses less digits than its factorization.

142601124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556965 (or 1556960 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 142601124420 in words is "one hundred forty-two billion, six hundred one million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 509 1018 1527 2036 2545 3054 4581 5090 6108 7635 9162 10180 15270 18324 22905 30540 45810 91620 1556441 3112882 4669323 6225764 7782205 9338646 14007969 15564410 18677292 23346615 28015938 31128820 46693230 56031876 70039845 93386460 140079690 280159380 792228469 1584456938 2376685407 3168913876 3961142345 4753370814 7130056221 7922284690 9506741628 11883427035 14260112442 15844569380 23766854070 28520224884 35650281105 47533708140 71300562210 142601124420