Search a number
-
+
142298081723880 = 233251918812349023
BaseRepresentation
bin100000010110101101011010…
…100111010000010111101000
3200122211120012222102220011200
4200112231122213100113220
5122122402432410131010
61222350500345524200
741654461055450655
oct4026553247202750
9618746188386150
10142298081723880
1141382306480065
1213b623a37a3660
136152861541234
14271d39a218c2c
15116b776559cc0
hex816b5a9d05e8

142298081723880 has 192 divisors, whose sum is σ = 465417950699520. Its totient is φ = 37704621926400.

The previous prime is 142298081723843. The next prime is 142298081723899. The reversal of 142298081723880 is 88327180892241.

142298081723880 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 9 + 80 + 8 + 172 + 388 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59403049 + ... + 61752071.

It is an arithmetic number, because the mean of its divisors is an integer number (2424051826560).

Almost surely, 2142298081723880 is an apocalyptic number.

142298081723880 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 142298081723880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232708975349760).

142298081723880 is an abundant number, since it is smaller than the sum of its proper divisors (323119868975640).

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

142298081723880 is a wasteful number, since it uses less digits than its factorization.

142298081723880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350112 (or 2350105 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 142298081723880 in words is "one hundred forty-two trillion, two hundred ninety-eight billion, eighty-one million, seven hundred twenty-three thousand, eight hundred eighty".