Search a number
-
+
142564160010 = 235151269116993
BaseRepresentation
bin1000010011000101111…
…1000111001000001010
3111121222112121201000110
42010301133013020022
54313432411110020
6145254300415150
713204605236316
oct2046137071012
9447875551013
10142564160010
115550882a548
12237685474b6
131059cb96a3c
146c85dc0b46
153a95dc28e0
hex21317c720a

142564160010 has 64 divisors (see below), whose sum is σ = 345703230720. Its totient is φ = 37624627200.

The previous prime is 142564159973. The next prime is 142564160023. The reversal of 142564160010 is 10061465241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 142564160010.

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, 1160074 + ... + 1277066.

It is an arithmetic number, because the mean of its divisors is an integer number (5401612980).

Almost surely, 2142564160010 is an apocalyptic number.

142564160010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142564160010 is an abundant number, since it is smaller than the sum of its proper divisors (203139070710).

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

142564160010 is a wasteful number, since it uses less digits than its factorization.

142564160010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117423.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 142564160010 in words is "one hundred forty-two billion, five hundred sixty-four million, one hundred sixty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 151 269 302 453 538 755 807 906 1345 1510 1614 2265 2690 4035 4530 8070 40619 81238 116993 121857 203095 233986 243714 350979 406190 584965 609285 701958 1169930 1218570 1754895 3509790 17665943 31471117 35331886 52997829 62942234 88329715 94413351 105995658 157355585 176659430 188826702 264989145 314711170 472066755 529978290 944133510 4752138667 9504277334 14256416001 23760693335 28512832002 47521386670 71282080005 142564160010