Search a number
-
+
142014451131420 = 2235723311063446129
BaseRepresentation
bin100000010010100101010000…
…111010011010010000011100
3200121211110010021102221002220
4200102211100322122100130
5122103231043442201140
61222012312125545340
741625130326263460
oct4022452072322034
9617743107387086
10142014451131420
1141282a99399a4a
1213b17428415250
136131b9cb885ba
14270d7711284a0
1511641c6010bd0
hex812950e9a41c

142014451131420 has 384 divisors, whose sum is σ = 489963293245440. Its totient is φ = 30019203624960.

The previous prime is 142014451131407. The next prime is 142014451131437. The reversal of 142014451131420 is 24131154410241.

142014451131420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1420144511314202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318102916 + ... + 318549044.

It is an arithmetic number, because the mean of its divisors is an integer number (1275946076160).

Almost surely, 2142014451131420 is an apocalyptic number.

142014451131420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142014451131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244981646622720).

142014451131420 is an abundant number, since it is smaller than the sum of its proper divisors (347948842114020).

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

142014451131420 is a wasteful number, since it uses less digits than its factorization.

142014451131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447265 (or 447263 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 142014451131420 in words is "one hundred forty-two trillion, fourteen billion, four hundred fifty-one million, one hundred thirty-one thousand, four hundred twenty".