Search a number
-
+
142715659860 = 22335798937589
BaseRepresentation
bin1000010011101010000…
…1000010011001010100
3111122101002200200202000
42010322201002121110
54314240202103420
6145321311515300
713211425043664
oct2047241023124
9448332620660
10142715659860
11555862a6634
12237ab228b30
13105c539c517
146c9c17a1a4
153aa434b690
hex213a842654

142715659860 has 192 divisors, whose sum is σ = 454688640000. Its totient is φ = 37152580608.

The previous prime is 142715659859. The next prime is 142715659871. The reversal of 142715659860 is 68956517241.

It is a happy number.

142715659860 is a `hidden beast` number, since 1 + 4 + 2 + 71 + 565 + 9 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 142715659797 and 142715659806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3777946 + ... + 3815534.

It is an arithmetic number, because the mean of its divisors is an integer number (2368170000).

Almost surely, 2142715659860 is an apocalyptic number.

142715659860 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 142715659860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227344320000).

142715659860 is an abundant number, since it is smaller than the sum of its proper divisors (311972980140).

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

142715659860 is a wasteful number, since it uses less digits than its factorization.

142715659860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37775 (or 37767 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 142715659860 in words is "one hundred forty-two billion, seven hundred fifteen million, six hundred fifty-nine thousand, eight hundred sixty".