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3044379384225 = 325229323972
BaseRepresentation
bin101100010011010011001…
…001101101100110100001
3101210001002000220120201100
4230103103021231212201
5344334342110243400
610250322451425013
7432643362540654
oct54232311554641
911701060816640
103044379384225
11a74128882a23
124120305b5169
13191111ca797a
14a74c4d7389b
15542d0941100
hex2c4d326d9a1

3044379384225 has 81 divisors (see below), whose sum is σ = 5485312391403. Its totient is φ = 1614051584640.

The previous prime is 3044379384223. The next prime is 3044379384229. The reversal of 3044379384225 is 5224839734403.

It is a happy number.

The square root of 3044379384225 is 1744815.

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

3044379384225 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 37 + 9 + 384 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 123110458641 + 2921268925584 = 350871^2 + 1709172^2 .

It is not a de Polignac number, because 3044379384225 - 21 = 3044379384223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3044379384223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7668461727 + ... + 7668462123.

Almost surely, 23044379384225 is an apocalyptic number.

3044379384225 is the 1744815-th square number.

3044379384225 is the 872408-th centered octagonal number.

It is an amenable number.

3044379384225 is a deficient number, since it is larger than the sum of its proper divisors (2440933007178).

3044379384225 is an frugal number, since it uses more digits than its factorization.

3044379384225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3044379384225 in words is "three trillion, forty-four billion, three hundred seventy-nine million, three hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 293 397 879 1191 1465 1985 2637 3573 4395 5955 7325 9925 13185 17865 21975 29775 65925 85849 89325 116321 157609 257547 348963 429245 472827 581605 772641 788045 1046889 1287735 1418481 1744815 2146225 2364135 2908025 3863205 3940225 5234445 6438675 7092405 8724075 11820675 19316025 26172225 34082053 35462025 46179437 102246159 138538311 170410265 230897185 306738477 415614933 511230795 692691555 852051325 1154485925 1533692385 2078074665 2556153975 3463457775 7668461925 10390373325 13530575041 40591725123 67652875205 121775175369 202958625615 338264376025 608875876845 1014793128075 3044379384225