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142495523676000 = 253553114171931
BaseRepresentation
bin100000011001100101010011…
…000100100001111101100000
3200200112102212001022021200000
4200121211103010201331200
5122134121313030113000
61223021312340100000
742004650625402305
oct4031452304417540
9620472761267600
10142495523676000
11414490152a0000
1213b94706694600
1361683688b86c1
142728b6a6990ac
151171980139000
hex819953121f60

142495523676000 has 5760 divisors, whose sum is σ = 663712106803200. Its totient is φ = 29807585280000.

The previous prime is 142495523675933. The next prime is 142495523676029. The reversal of 142495523676000 is 676325594241.

It is a happy number.

142495523676000 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 9 + 5 + 5 + 23 + 6 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4596629795985 + ... + 4596629796015.

It is an arithmetic number, because the mean of its divisors is an integer number (115227796320).

Almost surely, 2142495523676000 is an apocalyptic number.

142495523676000 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 142495523676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331856053401600).

142495523676000 is an abundant number, since it is smaller than the sum of its proper divisors (521216583127200).

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

142495523676000 is an equidigital number, since it uses as much as digits as its factorization.

142495523676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 142495523676000 in words is "one hundred forty-two trillion, four hundred ninety-five billion, five hundred twenty-three million, six hundred seventy-six thousand".