Search a number
-
+
142358731200000 = 2935557192753
BaseRepresentation
bin100000010111100101111001…
…100110101001011000000000
3200200001100202202010111200000
4200113211321212221120000
5122124401140141400000
61222434410454400000
741662036032501030
oct4027457146513000
9620040682114600
10142358731200000
11413a5aa9529147
1213b720ab060000
1361584a86cab03
1427222b10538c0
15116d125d00000
hex8179799a9600

142358731200000 has 2880 divisors, whose sum is σ = 640904284500480. Its totient is φ = 30815354880000.

The previous prime is 142358731199989. The next prime is 142358731200017. The reversal of 142358731200000 is 2137853241.

142358731200000 is a `hidden beast` number, since 1 + 4 + 23 + 587 + 31 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51710398624 + ... + 51710401376.

It is an arithmetic number, because the mean of its divisors is an integer number (222536209896).

Almost surely, 2142358731200000 is an apocalyptic number.

142358731200000 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 142358731200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320452142250240).

142358731200000 is an abundant number, since it is smaller than the sum of its proper divisors (498545553300480).

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

142358731200000 is an frugal number, since it uses more digits than its factorization.

142358731200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 142358731200000 in words is "one hundred forty-two trillion, three hundred fifty-eight billion, seven hundred thirty-one million, two hundred thousand".