Search a number
-
+
142055717305320 = 2335571319231113127
BaseRepresentation
bin100000010011001011101100…
…100100010111101111101000
3200121222101122012000202200000
4200103023230210113233220
5122104420102112232240
61222043255015143000
741631121050052410
oct4023135444275750
9617871565022600
10142055717305320
11412995450411a5
1213b23424374a60
136135a48361490
14271176792d640
1511652ddc55430
hex8132ec917be8

142055717305320 has 4608 divisors, whose sum is σ = 652757229895680. Its totient is φ = 27021124730880.

The previous prime is 142055717305303. The next prime is 142055717305511. The reversal of 142055717305320 is 23503717550241.

142055717305320 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 5 + 7 + 17 + 305 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1118548955097 + ... + 1118548955223.

It is an arithmetic number, because the mean of its divisors is an integer number (141657384960).

Almost surely, 2142055717305320 is an apocalyptic number.

142055717305320 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 142055717305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326378614947840).

142055717305320 is an abundant number, since it is smaller than the sum of its proper divisors (510701512590360).

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

142055717305320 is a wasteful number, since it uses less digits than its factorization.

142055717305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 142055717305320 in words is "one hundred forty-two trillion, fifty-five billion, seven hundred seventeen million, three hundred five thousand, three hundred twenty".