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142314402132 = 22327564739691
BaseRepresentation
bin1000010010001010011…
…0010111000101010100
3111121100010122200121200
42010202212113011110
54312424441332012
6145213415312500
713165453313250
oct2044246270524
9447303580550
10142314402132
115539a851781
12236b897b730
131056020a606
146c60b69260
153a7deda3dc
hex2122997154

142314402132 has 36 divisors (see below), whose sum is σ = 411130495776. Its totient is φ = 40661257680.

The previous prime is 142314402127. The next prime is 142314402163. The reversal of 142314402132 is 231204413241.

142314402132 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 1 + 440 + 213 + 2 = 666.

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

It is a super-3 number, since 3×1423144021323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 142314402096 and 142314402105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282369594 + ... + 282370097.

Almost surely, 2142314402132 is an apocalyptic number.

142314402132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142314402132 is an abundant number, since it is smaller than the sum of its proper divisors (268816093644).

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

142314402132 is a wasteful number, since it uses less digits than its factorization.

142314402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564739708 (or 564739703 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142314402132 its reverse (231204413241), we get a palindrome (373518815373).

It can be divided in two parts, 142314 and 402132, that added together give a triangular number (544446 = T1043).

The spelling of 142314402132 in words is "one hundred forty-two billion, three hundred fourteen million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 564739691 1129479382 1694219073 2258958764 3388438146 3953177837 5082657219 6776876292 7906355674 10165314438 11859533511 15812711348 20330628876 23719067022 35578600533 47438134044 71157201066 142314402132