Search a number
-
+
142885296307584 = 27331451202714057
BaseRepresentation
bin100000011111010000010011…
…010101000111110110000000
3200201220200220222021111201000
4200133100103111013312000
5122212013041323320314
61223520333212212000
742045056562165555
oct4037202325076600
9621820828244630
10142885296307584
114158934a832106
121403816476a000
1361960443bc04c
14273d984430a2c
15117bb93c11209
hex81f413547d80

142885296307584 has 256 divisors, whose sum is σ = 422238935289600. Its totient is φ = 47568742502400.

The previous prime is 142885296307487. The next prime is 142885296307631. The reversal of 142885296307584 is 485703692588241.

142885296307584 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 8 + 5 + 2 + 9 + 6 + 30 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10164700684 + ... + 10164714740.

It is an arithmetic number, because the mean of its divisors is an integer number (1649370840975).

It is a 1-persistent number, because it is pandigital, but 2⋅142885296307584 = 285770592615168 is not.

Almost surely, 2142885296307584 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 142885296307584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211119467644800).

142885296307584 is an abundant number, since it is smaller than the sum of its proper divisors (279353638982016).

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

142885296307584 is a wasteful number, since it uses less digits than its factorization.

142885296307584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17558 (or 17540 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 142885296307584 in words is "one hundred forty-two trillion, eight hundred eighty-five billion, two hundred ninety-six million, three hundred seven thousand, five hundred eighty-four".