Search a number
-
+
142189857600 = 26352731136511
BaseRepresentation
bin1000010001101100101…
…1010000101101000000
3111121000110022011122020
42010123023100231000
54312201100420400
6145153210041440
713162411563540
oct2043313205500
9447013264566
10142189857600
115533651660a
1223683119280
131054048201b
146c4c3c9320
153a730d82a0
hex211b2d0b40

142189857600 has 336 divisors, whose sum is σ = 550346489856. Its totient is φ = 31451904000.

The previous prime is 142189857559. The next prime is 142189857611. The reversal of 142189857600 is 6758981241.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 973345 + ... + 1109855.

Almost surely, 2142189857600 is an apocalyptic number.

142189857600 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 142189857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275173244928).

142189857600 is an abundant number, since it is smaller than the sum of its proper divisors (408156632256).

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

142189857600 is a wasteful number, since it uses less digits than its factorization.

142189857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136574 (or 136559 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 142189857600 in words is "one hundred forty-two billion, one hundred eighty-nine million, eight hundred fifty-seven thousand, six hundred".