Search a number
-
+
142123928736 = 2532011373607
BaseRepresentation
bin1000010001011100111…
…1110000110010100000
3111120211212020122020110
42010113033300302200
54312032211204421
6145142453011320
713160651314236
oct2042717606240
9446755218213
10142123928736
1155302286249
1223665023b40
131052c90a56a
146c43746956
153a6c413a76
hex21173f0ca0

142123928736 has 48 divisors (see below), whose sum is σ = 373098930624. Its totient is φ = 47371643904.

The previous prime is 142123928699. The next prime is 142123928743. The reversal of 142123928736 is 637829321241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1421239287362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1894045 + ... + 1967651.

It is an arithmetic number, because the mean of its divisors is an integer number (7772894388).

Almost surely, 2142123928736 is an apocalyptic number.

142123928736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142123928736 is an abundant number, since it is smaller than the sum of its proper divisors (230975001888).

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

142123928736 is a wasteful number, since it uses less digits than its factorization.

142123928736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93733 (or 93725 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 142123928736 in words is "one hundred forty-two billion, one hundred twenty-three million, nine hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 20113 40226 60339 73607 80452 120678 147214 160904 220821 241356 294428 321808 441642 482712 588856 643616 883284 965424 1177712 1766568 1930848 2355424 3533136 7066272 1480457591 2960915182 4441372773 5921830364 8882745546 11843660728 17765491092 23687321456 35530982184 47374642912 71061964368 142123928736