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14134271382 = 23272118916369
BaseRepresentation
bin11010010100111011…
…11101110110010110
31100111001010101021200
431022131331312112
5212421333141012
610254310253330
71010155216200
oct151235756626
940431111250
1014134271382
115aa3478320
1228a5657246
1314433918ba
14981269770
1557ad073dc
hex34a77dd96

14134271382 has 144 divisors (see below), whose sum is σ = 39301750800. Its totient is φ = 3629767680.

The previous prime is 14134271377. The next prime is 14134271423. The reversal of 14134271382 is 28317243141.

14134271382 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 4 + 271 + 382 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 855294 + ... + 871662.

It is an arithmetic number, because the mean of its divisors is an integer number (272928825).

Almost surely, 214134271382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134271382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19650875400).

14134271382 is an abundant number, since it is smaller than the sum of its proper divisors (25167479418).

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

14134271382 is a wasteful number, since it uses less digits than its factorization.

14134271382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16491 (or 16481 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 14134271382 in words is "fourteen billion, one hundred thirty-four million, two hundred seventy-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 89 98 99 126 147 154 178 198 231 267 294 441 462 534 539 623 693 801 882 979 1078 1246 1386 1602 1617 1869 1958 2937 3234 3738 4361 4851 5607 5874 6853 8722 8811 9702 11214 13083 13706 16369 17622 20559 26166 32738 39249 41118 47971 49107 61677 78498 95942 98214 114583 123354 143913 147321 180059 229166 287826 294642 343749 360118 431739 540177 687498 802081 863478 1031247 1080354 1260413 1456841 1604162 1620531 2062494 2406243 2520826 2913682 3241062 3781239 4370523 4812486 7218729 7562478 8741046 8822891 10197887 11343717 13111569 14437458 16025251 17645782 20395774 22687434 26223138 26468673 30593661 32050502 48075753 52937346 61187322 71385209 79406019 91780983 96151506 112176757 142770418 144227259 158812038 183561966 214155627 224353514 288454518 336530271 428311254 642466881 673060542 785237299 1009590813 1284933762 1570474598 2019181626 2355711897 4711423794 7067135691 14134271382