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142327035760 = 245713592291447
BaseRepresentation
bin1000010010001101011…
…0100011011101110000
3111121101000102112200211
42010203112203131300
54312441210121020
6145214550153504
713165665562060
oct2044326433560
9447330375624
10142327035760
11553a69a0598
1223701052894
1310562a11b30
146c626d73a0
153a8018385a
hex21235a3770

142327035760 has 320 divisors, whose sum is σ = 416273356800. Its totient is φ = 44056866816.

The previous prime is 142327035737. The next prime is 142327035779. The reversal of 142327035760 is 67530723241.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98359357 + ... + 98360803.

It is an arithmetic number, because the mean of its divisors is an integer number (1300854240).

Almost surely, 2142327035760 is an apocalyptic number.

142327035760 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 142327035760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208136678400).

142327035760 is an abundant number, since it is smaller than the sum of its proper divisors (273946321040).

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

142327035760 is a wasteful number, since it uses less digits than its factorization.

142327035760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 142327035760 in words is "one hundred forty-two billion, three hundred twenty-seven million, thirty-five thousand, seven hundred sixty".