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142272499320 = 2332571923129193
BaseRepresentation
bin1000010010000000011…
…0100000111001111000
3111121020012210210202200
42010200012200321320
54312333224434240
6145205321230200
713164434201520
oct2044006407170
9447205723680
10142272499320
1155379131556
12236a6932360
1310554628953
146c5937c680
153a7a4ae930
hex21201a0e78

142272499320 has 384 divisors, whose sum is σ = 580442803200. Its totient is φ = 29468178432.

The previous prime is 142272499219. The next prime is 142272499351. The reversal of 142272499320 is 23994272241.

142272499320 is a `hidden beast` number, since 14 + 2 + 272 + 49 + 9 + 320 = 666.

142272499320 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1036644 + ... + 1165836.

It is an arithmetic number, because the mean of its divisors is an integer number (1511569800).

Almost surely, 2142272499320 is an apocalyptic number.

142272499320 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 142272499320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290221401600).

142272499320 is an abundant number, since it is smaller than the sum of its proper divisors (438170303880).

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

142272499320 is a wasteful number, since it uses less digits than its factorization.

142272499320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129259 (or 129252 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 142272499320 in words is "one hundred forty-two billion, two hundred seventy-two million, four hundred ninety-nine thousand, three hundred twenty".