Search a number
-
+
142355340225 = 32527215718219
BaseRepresentation
bin1000010010010100001…
…0100001101111000001
3111121102222200120010100
42010211002201233001
54313020431341400
6145221440553013
713166461266300
oct2044502415701
9447388616110
10142355340225
115541097310a
122370a622769
1310568842137
146c66384437
153a828c5100
hex21250a1bc1

142355340225 has 108 divisors (see below), whose sum is σ = 296827586640. Its totient is φ = 65027390400.

The previous prime is 142355340221. The next prime is 142355340233. The reversal of 142355340225 is 522043553241.

142355340225 is a `hidden beast` number, since 1 + 42 + 3 + 55 + 340 + 225 = 666.

It is not a de Polignac number, because 142355340225 - 22 = 142355340221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142355340225.

It is not an unprimeable number, because it can be changed into a prime (142355340221) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17316166 + ... + 17324384.

It is an arithmetic number, because the mean of its divisors is an integer number (2748403580).

Almost surely, 2142355340225 is an apocalyptic number.

142355340225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142355340225 is an abundant number, since it is smaller than the sum of its proper divisors (154472246415).

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

142355340225 is a wasteful number, since it uses less digits than its factorization.

142355340225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 142355340225 its reverse (522043553241), we get a palindrome (664398893466).

The spelling of 142355340225 in words is "one hundred forty-two billion, three hundred fifty-five million, three hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1571 1575 2205 3675 4713 7855 8219 10997 11025 14139 23565 24657 32991 39275 41095 54985 57533 70695 73971 76979 98973 117825 123285 164955 172599 205475 230937 274925 287665 353475 369855 384895 402731 494865 517797 616425 692811 824775 862995 1154685 1208193 1438325 1849275 1924475 2013655 2474325 2588985 3464055 3624579 4314975 5773425 6040965 10068275 12912049 12944925 17320275 18122895 30204825 38736147 64560245 90384343 90614475 116208441 193680735 271153029 322801225 451921715 581042205 632690401 813459087 968403675 1355765145 1898071203 2259608575 2905211025 3163452005 4067295435 5694213609 6778825725 9490356015 15817260025 20336477175 28471068045 47451780075 142355340225