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14441463513132 = 2235376931199467
BaseRepresentation
bin1101001000100110101001…
…0011011000000000101100
31220010120221102102000211220
43102021222103120000230
53343102104124410012
650414152230143340
73020234633323365
oct322115223300054
956116842360756
1014441463513132
114668654735107
121752a28ab1b50
13809a93900336
1437cd83324b6c
151a09c7a1c08c
hexd226a4d802c

14441463513132 has 96 divisors (see below), whose sum is σ = 34391835878400. Its totient is φ = 4714842243072.

The previous prime is 14441463513013. The next prime is 14441463513151. The reversal of 14441463513132 is 23131536414441.

It is a super-2 number, since 2×144414635131322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525448263 + ... + 1525457729.

It is an arithmetic number, because the mean of its divisors is an integer number (358248290400).

Almost surely, 214441463513132 is an apocalyptic number.

14441463513132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14441463513132 is an abundant number, since it is smaller than the sum of its proper divisors (19950372365268).

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

14441463513132 is a wasteful number, since it uses less digits than its factorization.

14441463513132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13415 (or 13413 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

Adding to 14441463513132 its reverse (23131536414441), we get a palindrome (37572999927573).

The spelling of 14441463513132 in words is "fourteen trillion, four hundred forty-one billion, four hundred sixty-three million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 769 1538 2307 3076 3119 4614 6238 9228 9357 9467 12476 18714 18934 28401 37428 37868 40757 56802 81514 113604 122271 163028 165307 244542 330614 489084 495921 501751 661228 991842 1003502 1505253 1983684 2007004 2398511 3010506 4797022 6021012 7195533 7280123 9594044 14391066 14560246 21840369 28782132 29120492 29527573 43680738 59055146 87361476 88582719 118110292 127121083 177165438 254242166 354330876 381363249 385846519 508484332 762726498 771693038 1157539557 1525452996 1543386076 1564961369 2315079114 3129922738 4630158228 4694884107 6259845476 9389768214 18779536428 22706703637 45413407274 68120110911 90826814548 136240221822 272480443644 1203455292761 2406910585522 3610365878283 4813821171044 7220731756566 14441463513132