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142607775105 = 32513723131837
BaseRepresentation
bin1000010011010000010…
…1011111010110000001
3111122002120200120200100
42010310011133112001
54314030042300410
6145302455313013
713205645042115
oct2046405372601
9448076616610
10142607775105
115553040a184
122377b07b769
13105a8c27ba3
146c8bad5745
153a99b3a8c0
hex213415f581

142607775105 has 24 divisors (see below), whose sum is σ = 248991104232. Its totient is φ = 75502312704.

The previous prime is 142607775103. The next prime is 142607775113. The reversal of 142607775105 is 501577706241.

142607775105 is a `hidden beast` number, since 1 + 4 + 2 + 60 + 7 + 77 + 510 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4266179856 + 138341595249 = 65316^2 + 371943^2 .

It is not a de Polignac number, because 142607775105 - 21 = 142607775103 is a prime.

It is a super-3 number, since 3×1426077751053 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (142607775103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11559754 + ... + 11572083.

It is an arithmetic number, because the mean of its divisors is an integer number (10374629343).

Almost surely, 2142607775105 is an apocalyptic number.

142607775105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142607775105 is a deficient number, since it is larger than the sum of its proper divisors (106383329127).

142607775105 is a wasteful number, since it uses less digits than its factorization.

142607775105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23131985 (or 23131982 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 142607775105 in words is "one hundred forty-two billion, six hundred seven million, seven hundred seventy-five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 23131837 69395511 115659185 208186533 346977555 1040932665 3169061669 9507185007 15845308345 28521555021 47535925035 142607775105