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4344134992561 = 71319371271513541
BaseRepresentation
bin111111001101110010100…
…111111000001010110001
3120101021222020101122121101
4333031302213320022301
51032133242024230221
613123400145124401
7625565500116250
oct77156247701261
916337866348541
104344134992561
111425378a52031
125a1b0a029701
1325685b574350
14110385ca2797
157800318dd91
hex3f3729f82b1

4344134992561 has 128 divisors (see below), whose sum is σ = 5865887498240. Its totient is φ = 3121566336000.

The previous prime is 4344134992553. The next prime is 4344134992573. The reversal of 4344134992561 is 1652994314434.

It is not a de Polignac number, because 4344134992561 - 23 = 4344134992553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4344134992591) 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, 1226808451 + ... + 1226811991.

It is an arithmetic number, because the mean of its divisors is an integer number (45827246080).

Almost surely, 24344134992561 is an apocalyptic number.

It is an amenable number.

4344134992561 is a deficient number, since it is larger than the sum of its proper divisors (1521752505679).

4344134992561 is a wasteful number, since it uses less digits than its factorization.

4344134992561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895.

The product of its digits is 11197440, while the sum is 55.

The spelling of 4344134992561 in words is "four trillion, three hundred forty-four billion, one hundred thirty-four million, nine hundred ninety-two thousand, five hundred sixty-one".

Divisors: 1 7 13 19 37 91 127 133 151 247 259 481 703 889 1057 1651 1729 1963 2413 2869 3367 3541 4699 4921 5587 9139 11557 13741 16891 19177 20083 24787 31369 32893 37297 39109 46033 61087 63973 67279 72631 89281 106153 131017 134239 219583 249301 261079 322231 364363 427609 449707 470953 508417 534691 624967 709549 743071 874627 917119 1160653 1379989 1703221 1745107 2489323 2550541 3147949 3742837 4736719 4966843 5846191 6122389 6950983 8124571 8544433 9224137 9659923 10159129 11922547 13481431 16639159 17425261 19783567 32361199 33157033 40923337 48656881 59811031 64568959 67905757 71113903 94370017 111077629 116474113 132068677 138484969 175258603 216309067 226528393 257186371 316144021 375887773 475340299 777543403 882774841 924480739 1226810221 1290209383 1514163469 1800304597 2213008147 2512513009 2631214411 4109872273 4886541049 6179423887 9031465681 16772721979 17587591063 28769105911 32662669117 34205787343 47737747171 117409053853 228638683819 334164230197 620590713223 4344134992561