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129441024 = 283361307
BaseRepresentation
bin1111011011100…
…01110100000000
3100000120021201000
413231301310000
5231114103044
620502212000
73131142036
oct755616400
9300507630
10129441024
116707aa59
1237424000
1320a8122b
1413296556
15b56cd69
hex7b71d00

129441024 has 144 divisors (see below), whose sum is σ = 390322240. Its totient is φ = 42301440.

The previous prime is 129441001. The next prime is 129441029. The reversal of 129441024 is 420144921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129441029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421479 + ... + 421785.

Almost surely, 2129441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195161120).

129441024 is an abundant number, since it is smaller than the sum of its proper divisors (260881216).

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

129441024 is an equidigital number, since it uses as much as digits as its factorization.

129441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 129441024 is about 11377.2151249768. The cubic root of 129441024 is about 505.8525923680.

Adding to 129441024 its reverse (420144921), we get a palindrome (549585945).

The spelling of 129441024 in words is "one hundred twenty-nine million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 307 366 384 432 488 549 576 614 732 768 864 921 976 1098 1152 1228 1464 1647 1728 1842 1952 2196 2304 2456 2763 2928 3294 3456 3684 3904 4392 4912 5526 5856 6588 6912 7368 7808 8289 8784 9824 11052 11712 13176 14736 15616 16578 17568 18727 19648 22104 23424 26352 29472 33156 35136 37454 39296 44208 46848 52704 56181 58944 66312 70272 74908 78592 88416 105408 112362 117888 132624 140544 149816 168543 176832 210816 224724 235776 265248 299632 337086 353664 421632 449448 505629 530496 599264 674172 707328 898896 1011258 1060992 1198528 1348344 1797792 2022516 2121984 2397056 2696688 3595584 4045032 4794112 5393376 7191168 8090064 10786752 14382336 16180128 21573504 32360256 43147008 64720512 129441024