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14054510140 = 22511191092283
BaseRepresentation
bin11010001011011011…
…01100111000111100
31100021111001002102121
431011231230320330
5212240423311030
610242340532324
71005166236136
oct150555547074
940244032377
1014054510140
115a6244a540
1228829b10a4
13142c9b60b8
14974826056
15573cee47a
hex345b6ce3c

14054510140 has 144 divisors (see below), whose sum is σ = 34326875520. Its totient is φ = 4780373760.

The previous prime is 14054510077. The next prime is 14054510143. The reversal of 14054510140 is 4101545041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14054510143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49662439 + ... + 49662721.

It is an arithmetic number, because the mean of its divisors is an integer number (238381080).

Almost surely, 214054510140 is an apocalyptic number.

14054510140 is a gapful number since it is divisible by the number (10) 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 14054510140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163437760).

14054510140 is an abundant number, since it is smaller than the sum of its proper divisors (20272365380).

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

14054510140 is a wasteful number, since it uses less digits than its factorization.

14054510140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 14054510140 in words is "fourteen billion, fifty-four million, five hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 109 110 190 209 218 220 283 380 418 436 545 566 836 1045 1090 1132 1199 1415 2071 2090 2180 2398 2830 3113 4142 4180 4796 5377 5660 5995 6226 8284 10355 10754 11881 11990 12452 15565 20710 21508 22781 23762 23980 26885 30847 31130 41420 45562 47524 53770 59147 59405 61694 62260 91124 107540 113905 118294 118810 123388 130691 154235 225739 227810 236588 237620 261382 295735 308470 339317 451478 455620 522764 586093 591470 616940 653455 678634 902956 1128695 1172186 1182940 1306910 1357268 1696585 2257390 2344372 2483129 2613820 2930465 3362323 3393170 4514780 4966258 5860930 6447023 6724646 6786340 9932516 11721860 12415645 12894046 13449292 16811615 24831290 25788092 32235115 33623230 36985553 49662580 63884137 64470230 67246460 73971106 127768274 128940460 147942212 184927765 255536548 319420685 369855530 638841370 702725507 739711060 1277682740 1405451014 2810902028 3513627535 7027255070 14054510140