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12344043112401 = 37111319941574969
BaseRepresentation
bin1011001110100001001001…
…0011100000011111010001
31121201002010120220001120210
42303220102103200133101
53104221100014044101
642130435231554333
72412553616142360
oct263502223403721
947632116801523
1012344043112401
113a2a09658a350
12147443708b9a9
136b7066108840
143096522657d7
1516616c0057d6
hexb3a124e07d1

12344043112401 has 128 divisors (see below), whose sum is σ = 22219287552000. Its totient is φ = 5886874920960.

The previous prime is 12344043112397. The next prime is 12344043112469. The reversal of 12344043112401 is 10421134044321.

It is a happy number.

It is not a de Polignac number, because 12344043112401 - 22 = 12344043112397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12344043112501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2484208245 + ... + 2484213213.

It is an arithmetic number, because the mean of its divisors is an integer number (173588184000).

Almost surely, 212344043112401 is an apocalyptic number.

12344043112401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12344043112401 is a deficient number, since it is larger than the sum of its proper divisors (9875244439599).

12344043112401 is a wasteful number, since it uses less digits than its factorization.

12344043112401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12344043112401 its reverse (10421134044321), we get a palindrome (22765177156722).

The spelling of 12344043112401 in words is "twelve trillion, three hundred forty-four billion, forty-three million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 199 231 273 429 597 1001 1393 2189 2587 3003 4157 4179 4969 6567 7761 12471 14907 15323 18109 28457 29099 34783 45727 45969 54041 54327 54659 64597 85371 87297 104349 137181 162123 163977 193791 199199 320089 378287 382613 452179 594451 597597 710567 827243 960267 988831 1134861 1147839 1356537 1783353 2131701 2481729 2966493 4161157 4973969 5790701 6921817 9099673 10754159 10877141 12483471 12854803 14921907 17372103 20656133 20765451 27299019 32262477 32631423 38564409 61968399 63697711 75279113 76139987 89983621 118295749 141402833 144592931 191093133 225837339 227217463 228419961 268529729 269950863 354887247 424208499 433778793 681652389 805589187 828070243 989819831 1590522241 1879708103 2484210729 2953827019 2969459493 4110570467 4771566723 5639124309 8861481057 12331711401 20676789133 28773993269 45216275137 53437416071 62030367399 86321979807 135648825411 160312248213 316513925959 374061912497 587811576781 949541777877 1122185737491 1763434730343 4114681037467 12344043112401