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142421614151310 = 232513121727875343
BaseRepresentation
bin100000011000100000011101…
…101110000100011010001110
3200200021101002011111102010200
4200120200131232010122032
5122131413431210320220
61222523330350314330
741666423236661424
oct4030403556043216
9620241064442120
10142421614151310
114141a7382a019a
1213b8231a4b89a6
1361613ba509a40
142725358761114
15116eaa66c5890
hex81881db8468e

142421614151310 has 48 divisors (see below), whose sum is σ = 398780519626944. Its totient is φ = 35057628098496.

The previous prime is 142421614151309. The next prime is 142421614151363. The reversal of 142421614151310 is 13151416124241.

142421614151310 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 1 + 614 + 1 + 5 + 1 + 31 + 0 = 666.

It is a super-2 number, since 2×1424216141513102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60863936502 + ... + 60863938841.

It is an arithmetic number, because the mean of its divisors is an integer number (8307927492228).

Almost surely, 2142421614151310 is an apocalyptic number.

142421614151310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142421614151310 is an abundant number, since it is smaller than the sum of its proper divisors (256358905475634).

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

142421614151310 is a wasteful number, since it uses less digits than its factorization.

142421614151310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121727875369 (or 121727875366 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 142421614151310 in words is "one hundred forty-two trillion, four hundred twenty-one billion, six hundred fourteen million, one hundred fifty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 121727875343 243455750686 365183626029 608639376715 730367252058 1095550878087 1217278753430 1582462379459 1825918130145 2191101756174 3164924758918 3651836260290 4747387138377 5477754390435 7912311897295 9494774276754 10955508780870 14242161415131 15824623794590 23736935691885 28484322830262 47473871383770 71210807075655 142421614151310