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142730780588160 = 27351271916174967
BaseRepresentation
bin100000011101000000011001…
…011110011011100010000000
3200201100221002111200200022220
4200131000121132123202000
5122202000114312310120
61223321340532131040
742030646541223552
oct4035003136334200
9621327074620286
10142730780588160
1141529869727136
1214012221766a80
1361845bb42117b
1427362c70414d2
151177b4d98ab40
hex81d01979b880

142730780588160 has 512 divisors, whose sum is σ = 461777409146880. Its totient is φ = 37495705927680.

The previous prime is 142730780588131. The next prime is 142730780588173. The reversal of 142730780588160 is 61885087037241.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 142730780588094 and 142730780588103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28735809997 + ... + 28735814963.

It is an arithmetic number, because the mean of its divisors is an integer number (901909002240).

Almost surely, 2142730780588160 is an apocalyptic number.

142730780588160 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 142730780588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230888704573440).

142730780588160 is an abundant number, since it is smaller than the sum of its proper divisors (319046628558720).

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

142730780588160 is a wasteful number, since it uses less digits than its factorization.

142730780588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 142730780588160 in words is "one hundred forty-two trillion, seven hundred thirty billion, seven hundred eighty million, five hundred eighty-eight thousand, one hundred sixty".