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142901898624 = 2733431377019
BaseRepresentation
bin1000010100010110011…
…1011110110110000000
3111122212002010121022000
42011011213132312000
54320130341223444
6145352003344000
713216146045102
oct2050547366600
9448762117260
10142901898624
115567143a571
1223841682000
1310624b48c84
146cb8bb9572
153ab5888469
hex21459ded80

142901898624 has 256 divisors, whose sum is σ = 434779488000. Its totient is φ = 46180012032.

The previous prime is 142901898619. The next prime is 142901898703. The reversal of 142901898624 is 426898109241.

It is a happy number.

142901898624 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 0 + 1 + 8 + 9 + 8 + 624 = 666.

142901898624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20355787 + ... + 20362805.

It is an arithmetic number, because the mean of its divisors is an integer number (1698357375).

Almost surely, 2142901898624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142901898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217389744000).

142901898624 is an abundant number, since it is smaller than the sum of its proper divisors (291877589376).

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

142901898624 is a wasteful number, since it uses less digits than its factorization.

142901898624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 142901898624 in words is "one hundred forty-two billion, nine hundred one million, eight hundred ninety-eight thousand, six hundred twenty-four".