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2241430134399 = 325929691421741
BaseRepresentation
bin100000100111011111101…
…001011001111001111111
321221021112010020102112200
4200213133221121321333
5243210422103300044
64433410534402543
7320636504533641
oct40473751317177
97837463212480
102241430134399
11794648971185
123024a2500453
1313349b005771
147a6b3056891
153d488782369
hex209dfa59e7f

2241430134399 has 24 divisors (see below), whose sum is σ = 3293607517200. Its totient is φ = 1468464063360.

The previous prime is 2241430134331. The next prime is 2241430134431. The reversal of 2241430134399 is 9934310341422.

2241430134399 is a `hidden beast` number, since 2 + 241 + 4 + 3 + 0 + 13 + 4 + 399 = 666.

It is not a de Polignac number, because 2241430134399 - 216 = 2241430068863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241430134329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865669 + ... + 2287409.

It is an arithmetic number, because the mean of its divisors is an integer number (137233646550).

Almost surely, 22241430134399 is an apocalyptic number.

2241430134399 is a deficient number, since it is larger than the sum of its proper divisors (1052177382801).

2241430134399 is a wasteful number, since it uses less digits than its factorization.

2241430134399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424775 (or 1424772 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 2241430134399 in words is "two trillion, two hundred forty-one billion, four hundred thirty million, one hundred thirty-four thousand, three hundred ninety-nine".

Divisors: 1 3 9 59 177 531 2969 8907 26721 175171 525513 1421741 1576539 4265223 12795669 83882719 251648157 754944471 4221149029 12663447087 37990341261 249047792711 747143378133 2241430134399