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154241868942225 = 34522759872
BaseRepresentation
bin100011000100100000111011…
…110011101100101110010001
3202020010101020001020211010000
4203010200323303230232101
5130204044321422122400
61304013423021000213
744326415204641461
oct4304407363545621
9666111201224100
10154241868942225
1145167677a39019
12153711359b3069
13680ac3acb432c
142a134bc309ba1
1512c72b946b600
hex8c483bcecb91

154241868942225 has 45 divisors (see below), whose sum is σ = 285710294688907. Its totient is φ = 82262032036560.

The previous prime is 154241868942167. The next prime is 154241868942251. The reversal of 154241868942225 is 522249868142451.

The square root of 154241868942225 is 12419415.

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

154241868942225 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 4 + 186 + 8 + 9 + 422 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55527072819201 + 98714796123024 = 7451649^2 + 9935532^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 154241868942225 - 219 = 154241868417937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 558735682 + ... + 559011668.

Almost surely, 2154241868942225 is an apocalyptic number.

154241868942225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

154241868942225 is the 12419415-th square number.

154241868942225 is the 6209708-th centered octagonal number.

It is an amenable number.

154241868942225 is a deficient number, since it is larger than the sum of its proper divisors (131468425746682).

154241868942225 is an frugal number, since it uses more digits than its factorization.

154241868942225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551996 (or 275995 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 154241868942225 in words is "one hundred fifty-four trillion, two hundred forty-one billion, eight hundred sixty-eight million, nine hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 275987 827961 1379935 2483883 4139805 6899675 7451649 12419415 20699025 22354947 37258245 62097075 111774735 186291225 558873675 76168824169 228506472507 380844120845 685519417521 1142532362535 1904220604225 2056558252563 3427597087605 5712661812675 6169674757689 10282791262815 17137985438025 30848373788445 51413956314075 154241868942225