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13034442424 = 23234361113239
BaseRepresentation
bin11000010001110100…
…11100111010111000
31020122101121021120211
430020322130322320
5203143304124144
65553221200504
7641001634603
oct141072347270
936571537524
1013034442424
11558966a573
122639260134
1312c9570a33
148b917333a
155144a7034
hex308e9ceb8

13034442424 has 128 divisors (see below), whose sum is σ = 26869708800. Its totient is φ = 5911234560.

The previous prime is 13034442409. The next prime is 13034442479. The reversal of 13034442424 is 42424443031.

13034442424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130344424243 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54537297 + ... + 54537535.

It is an arithmetic number, because the mean of its divisors is an integer number (209919600).

Almost surely, 213034442424 is an apocalyptic number.

It is an amenable number.

13034442424 is an abundant number, since it is smaller than the sum of its proper divisors (13835266376).

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

13034442424 is a wasteful number, since it uses less digits than its factorization.

13034442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 13034442424 its reverse (42424443031), we get a palindrome (55458885455).

The spelling of 13034442424 in words is "thirteen billion, thirty-four million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 23 43 46 61 86 92 113 122 172 184 226 239 244 344 452 478 488 904 956 989 1403 1912 1978 2599 2623 2806 3956 4859 5198 5246 5497 5612 6893 7912 9718 10277 10396 10492 10994 11224 13786 14579 19436 20554 20792 20984 21988 27007 27572 29158 38872 41108 43976 54014 55144 58316 60329 82216 108028 111757 116632 120658 158539 216056 223514 236371 241316 296399 317078 335317 447028 472742 482632 592798 621161 626897 634156 670634 894056 945484 1161301 1185596 1242322 1253794 1268312 1341268 1647427 1890968 2322602 2371192 2484644 2507588 2682536 3294854 4645204 4969288 5015176 6589708 6817177 9290408 13179416 13634354 14418631 26709923 27268708 28837262 37890821 53419846 54537416 57674524 70839361 75781642 106839692 115349048 141678722 151563284 213679384 283357444 303126568 566714888 1629305303 3258610606 6517221212 13034442424