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142808226624 = 2632789397963
BaseRepresentation
bin1000010100000000001…
…0001001101101000000
3111122121112212120110200
42011000002021231000
54314432401222444
6145334415525200
713213630616640
oct2050002115500
9448545776420
10142808226624
1155623580398
1223816229800
131060b60c85b
146caa594520
153aac533969
hex2140089b40

142808226624 has 168 divisors, whose sum is σ = 473067766080. Its totient is φ = 40343795712.

The previous prime is 142808226601. The next prime is 142808226697. The reversal of 142808226624 is 426622808241.

142808226624 is a `hidden beast` number, since 14 + 2 + 8 + 0 + 8 + 2 + 2 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 142808226624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159867 + ... + 557829.

It is an arithmetic number, because the mean of its divisors is an integer number (2815879560).

Almost surely, 2142808226624 is an apocalyptic number.

142808226624 is a gapful number since it is divisible by the number (14) 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 142808226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236533883040).

142808226624 is an abundant number, since it is smaller than the sum of its proper divisors (330259539456).

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

142808226624 is a wasteful number, since it uses less digits than its factorization.

142808226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398077 (or 398064 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 142808226624 in words is "one hundred forty-two billion, eight hundred eight million, two hundred twenty-six thousand, six hundred twenty-four".