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142361334225000 = 23325511291983439
BaseRepresentation
bin100000010111101000010100…
…110000011001100001101000
3200200001121111011011212200100
4200113220110300121201220
5122124422003030200000
61222435521042305400
741662160401031142
oct4027502460314150
9620047434155610
10142361334225000
11413a71148aa380
1213b726b6958260
136158801a8c8a7
14272247aa41c92
15116d2295cba00
hex817a14c19868

142361334225000 has 576 divisors, whose sum is σ = 543861628128000. Its totient is φ = 33321758400000.

The previous prime is 142361334224999. The next prime is 142361334225037. The reversal of 142361334225000 is 522433163241.

142361334225000 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 61 + 3 + 342 + 250 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70783281 + ... + 72766719.

It is an arithmetic number, because the mean of its divisors is an integer number (944204215500).

Almost surely, 2142361334225000 is an apocalyptic number.

142361334225000 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 142361334225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271930814064000).

142361334225000 is an abundant number, since it is smaller than the sum of its proper divisors (401500293903000).

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

142361334225000 is a wasteful number, since it uses less digits than its factorization.

142361334225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983516 (or 1983489 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 142361334225000 its reverse (522433163241), we get a palindrome (142883767388241).

The spelling of 142361334225000 in words is "one hundred forty-two trillion, three hundred sixty-one billion, three hundred thirty-four million, two hundred twenty-five thousand".