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142131202132420 = 22519237369421433
BaseRepresentation
bin100000010100010001111111…
…110100001000100111000100
3200122020121110212001021212001
4200110101333310020213010
5122112134200221214140
61222142101201035044
741636432454360544
oct4024217764104704
9618217425037761
10142131202132420
1141318560284026
1213b35b90025a84
13613cbb7c09547
142715288b6d324
15116725ab39e9a
hex81447fd089c4

142131202132420 has 24 divisors (see below), whose sum is σ = 298491040986264. Its totient is φ = 56849525327616.

The previous prime is 142131202132369. The next prime is 142131202132421. The reversal of 142131202132420 is 24231202131241.

142131202132420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6613990645824 + 135517211486596 = 2571768^2 + 11641186^2 .

It is not an unprimeable number, because it can be changed into a prime (142131202132421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184325977 + ... + 185095456.

It is an arithmetic number, because the mean of its divisors is an integer number (12437126707761).

Almost surely, 2142131202132420 is an apocalyptic number.

142131202132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142131202132420 is an abundant number, since it is smaller than the sum of its proper divisors (156359838853844).

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

142131202132420 is a wasteful number, since it uses less digits than its factorization.

142131202132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369440679 (or 369440677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 142131202132420 its reverse (24231202131241), we get a palindrome (166362404263661).

The spelling of 142131202132420 in words is "one hundred forty-two trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 19237 38474 76948 96185 192370 384740 369421433 738842866 1477685732 1847107165 3694214330 7388428660 7106560106621 14213120213242 28426240426484 35532800533105 71065601066210 142131202132420