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142190371584 = 2832671635651
BaseRepresentation
bin1000010001101100110…
…1001110001100000000
3111121000111021021200200
42010123031032030000
54312201213342314
6145153225045200
713162416134202
oct2043315161400
9447014237620
10142190371584
1155336837798
1223683326800
1310540601c61
146c4c4c0772
153a7318a709
hex211b34e300

142190371584 has 216 divisors, whose sum is σ = 418715623872. Its totient is φ = 46394726400.

The previous prime is 142190371579. The next prime is 142190371601. The reversal of 142190371584 is 485173091241.

142190371584 is a `hidden beast` number, since 1 + 42 + 190 + 371 + 58 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 25159159 + ... + 25164809.

Almost surely, 2142190371584 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 142190371584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209357811936).

142190371584 is an abundant number, since it is smaller than the sum of its proper divisors (276525252288).

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

142190371584 is a wasteful number, since it uses less digits than its factorization.

142190371584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 142190371584 in words is "one hundred forty-two billion, one hundred ninety million, three hundred seventy-one thousand, five hundred eighty-four".