Search a number
-
+
141642661725144 = 23326213373166171
BaseRepresentation
bin100000001101001011000000…
…100010011000001111011000
3200120111220110122002012112200
4200031023000202120033120
5122031133132400201034
61221125423540410200
741556226125415416
oct4015130042301730
9616456418065480
10141642661725144
114114a351a22218
1213a773689a6960
136105acbc91188
1426d97818942b6
1511596b60cba99
hex80d2c08983d8

141642661725144 has 48 divisors (see below), whose sum is σ = 383616280736520. Its totient is φ = 47214129674880.

The previous prime is 141642661725113. The next prime is 141642661725161. The reversal of 141642661725144 is 441527166246141.

141642661725144 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 4 + 2 + 6 + 617 + 2 + 5 + 14 + 4 = 666.

141642661725144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43153179 + ... + 46319349.

Almost surely, 2141642661725144 is an apocalyptic number.

It is an amenable number.

141642661725144 is an abundant number, since it is smaller than the sum of its proper divisors (241973619011376).

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

141642661725144 is a wasteful number, since it uses less digits than its factorization.

141642661725144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787520 (or 3787513 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 141642661725144 in words is "one hundred forty-one trillion, six hundred forty-two billion, six hundred sixty-one million, seven hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 621337 1242674 1864011 2485348 3166171 3728022 4970696 5592033 6332342 7456044 9498513 11184066 12664684 14912088 18997026 22368132 25329368 28495539 37994052 44736264 56991078 75988104 113982156 227964312 1967259190627 3934518381254 5901777571881 7869036762508 11803555143762 15738073525016 17705332715643 23607110287524 35410665431286 47214220575048 70821330862572 141642661725144