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142058468160 = 26325717414503
BaseRepresentation
bin1000010001001101011…
…0000011001101000000
3111120200022001220012200
42010103112003031000
54311413431440120
6145132153553200
713156225025130
oct2042326031500
9446608056180
10142058468160
11552793357a4
1223647115800
131051c19acab
146c38b86ac0
153a667d2e90
hex2113583340

142058468160 has 336 divisors, whose sum is σ = 591275033856. Its totient is φ = 30560403456.

The previous prime is 142058468131. The next prime is 142058468171. The reversal of 142058468160 is 61864850241.

It is a happy number.

142058468160 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 584 + 6 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 135469 + ... + 549971.

Almost surely, 2142058468160 is an apocalyptic number.

142058468160 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 142058468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295637516928).

142058468160 is an abundant number, since it is smaller than the sum of its proper divisors (449216565696).

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

142058468160 is a wasteful number, since it uses less digits than its factorization.

142058468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414550 (or 414537 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 142058468160 in words is "one hundred forty-two billion, fifty-eight million, four hundred sixty-eight thousand, one hundred sixty".