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141310944455184 = 24327247230112
BaseRepresentation
bin100000001000010110000100…
…101001011010101000010000
3200112100012020200111220220100
4200020112010221122220100
5122010214303240031214
61220313203544212400
741523243636223200
oct4010260451325020
9615305220456810
10141310944455184
11410316a91a3619
1213a2301146a100
1360b074608530a
1426c76b4208400
151150c4e17d309
hex808584a5aa10

141310944455184 has 405 divisors, whose sum is σ = 470194161200751. Its totient is φ = 39502398741120.

The previous prime is 141310944455173. The next prime is 141310944455207. The reversal of 141310944455184 is 481554449013141.

The square root of 141310944455184 is 11887428.

It is a perfect power (a square), and thus also a powerful number.

141310944455184 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 0 + 9 + 4 + 4 + 4 + 551 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141310944455184.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46931564239 + ... + 46931567249.

Almost surely, 2141310944455184 is an apocalyptic number.

141310944455184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

141310944455184 is the 11887428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141310944455184

141310944455184 is an abundant number, since it is smaller than the sum of its proper divisors (328883216745567).

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

141310944455184 is an frugal number, since it uses more digits than its factorization.

141310944455184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 141310944455184 in words is "one hundred forty-one trillion, three hundred ten billion, nine hundred forty-four million, four hundred fifty-five thousand, one hundred eighty-four".