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142029257216 = 29711191271493
BaseRepresentation
bin1000010001000110011…
…0100111101000000000
3111120121021002211022212
42010101212213220000
54311333442212331
6145125231521252
713155421524050
oct2042146475000
9446537084285
10142029257216
11552638a4120
1223639389228
1310516111202
146c34d41560
153a63e62d2b
hex21119a7a00

142029257216 has 320 divisors, whose sum is σ = 375610245120. Its totient is φ = 51976028160.

The previous prime is 142029257207. The next prime is 142029257243. The reversal of 142029257216 is 612752920241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95129366 + ... + 95130858.

It is an arithmetic number, because the mean of its divisors is an integer number (1173782016).

Almost surely, 2142029257216 is an apocalyptic number.

142029257216 is a gapful number since it is divisible by the number (16) 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 142029257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187805122560).

142029257216 is an abundant number, since it is smaller than the sum of its proper divisors (233580987904).

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

142029257216 is a wasteful number, since it uses less digits than its factorization.

142029257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 142029257216 in words is "one hundred forty-two billion, twenty-nine million, two hundred fifty-seven thousand, two hundred sixteen".