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14044505112 = 2334113163559
BaseRepresentation
bin11010001010001111…
…00010010000011000
31100020210012210010000
431011013202100120
5212230343130422
610241342253000
71005015216021
oct150507422030
940223183100
1014044505112
115a57836620
12287b587160
13142a8c2171
1497337dc48
15572ec4cac
hex3451e2418

14044505112 has 160 divisors (see below), whose sum is σ = 44298777600. Its totient is φ = 4118558400.

The previous prime is 14044505089. The next prime is 14044505117. The reversal of 14044505112 is 21150544041.

14044505112 is a `hidden beast` number, since 1 + 4 + 0 + 44 + 505 + 112 = 666.

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 (14044505117) 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 39 ways as a sum of consecutive naturals, for example, 189189 + ... + 252747.

It is an arithmetic number, because the mean of its divisors is an integer number (276867360).

Almost surely, 214044505112 is an apocalyptic number.

14044505112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14044505112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149388800).

14044505112 is an abundant number, since it is smaller than the sum of its proper divisors (30254272488).

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

14044505112 is a wasteful number, since it uses less digits than its factorization.

14044505112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63619 (or 63606 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 14044505112 in words is "fourteen billion, forty-four million, five hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 648 682 744 792 837 891 1023 1116 1188 1364 1674 1782 2046 2232 2376 2511 2728 3069 3348 3564 4092 5022 6138 6696 7128 8184 9207 10044 12276 18414 20088 24552 27621 36828 55242 63559 73656 110484 127118 190677 220968 254236 381354 508472 572031 699149 762708 1144062 1398298 1525416 1716093 1970329 2097447 2288124 2796596 3432186 3940658 4194894 4576248 5148279 5593192 5910987 6292341 6864372 7881316 8389788 10296558 11821974 12584682 13728744 15762632 16779576 17732961 18877023 20593116 21673619 23643948 25169364 35465922 37754046 41186232 43347238 47287896 50338728 53198883 56631069 65020857 70931844 75508092 86694476 106397766 113262138 130041714 141863688 151016184 159596649 173388952 195062571 212795532 226524276 260083428 319193298 390125142 425591064 453048552 520166856 585187713 638386596 780250284 1170375426 1276773192 1560500568 1755563139 2340750852 3511126278 4681501704 7022252556 14044505112