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4443389964225 = 345213923372
BaseRepresentation
bin100000010101000111010…
…1011100010111111000001
3120201210011111010122010000
41000222032223202333001
51040300030312323400
613241133135430213
7636011226343422
oct100521653427701
916653144118100
104443389964225
111463481883333
125b91aa385369
1326301890a204
141150bddc7649
157a8b1cae600
hex40a8eae2fc1

4443389964225 has 135 divisors (see below), whose sum is σ = 8315007220377. Its totient is φ = 2345777521920.

The previous prime is 4443389964191. The next prime is 4443389964227. The reversal of 4443389964225 is 5224699833444.

The square root of 4443389964225 is 2107935.

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

4443389964225 is a `hidden beast` number, since 4 + 4 + 43 + 3 + 89 + 96 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 615247278129 + 3828142686096 = 784377^2 + 1956564^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 4443389964225 - 29 = 4443389963713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4443389964227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13185133257 + ... + 13185133593.

Almost surely, 24443389964225 is an apocalyptic number.

4443389964225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4443389964225 is the 2107935-th square number.

4443389964225 is the 1053968-th centered octagonal number.

It is an amenable number.

4443389964225 is a deficient number, since it is larger than the sum of its proper divisors (3871617256152).

4443389964225 is an frugal number, since it uses more digits than its factorization.

4443389964225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 484 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 4443389964225 in words is "four trillion, four hundred forty-three billion, three hundred eighty-nine million, nine hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 139 225 337 405 417 675 695 1011 1251 1685 2025 2085 3033 3475 3753 5055 6255 8425 9099 10425 11259 15165 18765 19321 25275 27297 31275 45495 46843 56295 57963 75825 93825 96605 113569 136485 140529 173889 227475 234215 281475 289815 340707 421587 483025 521667 567845 682425 702645 869445 1022121 1171075 1264761 1449075 1565001 1703535 2107935 2608335 2839225 3066363 3513225 3794283 4347225 5110605 6323805 6511177 7825005 8517675 9199089 10539675 13041675 15331815 15786091 18971415 19533531 25553025 31619025 32555885 39125025 45995445 47358273 58600593 76659075 78930455 94857075 97667655 142074819 162779425 175801779 229977225 236791365 293002965 394652275 426224457 488338275 527405337 710374095 879008895 1183956825 1278673371 1465014825 2131122285 2194266649 2637026685 3551870475 4395044475 6393366855 6582799947 10655611425 10971333245 13185133425 19748399841 31966834275 32913999735 54856666225 59245199523 98741999205 164569998675 177735598569 296225997615 493709996025 888677992845 1481129988075 4443389964225