Search a number
-
+
14115211001304 = 2337136761462409
BaseRepresentation
bin1100110101100111010000…
…1000110011110111011000
31211222101211022202020001220
43031121310020303313120
53322230423004020204
650004234410412040
72654535041612460
oct315316410636730
954871738666056
1014115211001304
11455225569a146
1216bb757731020
137b509bc1927a
1436b27375aba0
1519728072b1d9
hexcd674233dd8

14115211001304 has 64 divisors (see below), whose sum is σ = 40358676902400. Its totient is φ = 4029967167744.

The previous prime is 14115211001267. The next prime is 14115211001329. The reversal of 14115211001304 is 40310011251141.

It is a super-2 number, since 2×141152110013042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30501549 + ... + 30960860.

It is an arithmetic number, because the mean of its divisors is an integer number (630604326600).

Almost surely, 214115211001304 is an apocalyptic number.

14115211001304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14115211001304 is an abundant number, since it is smaller than the sum of its proper divisors (26243465901096).

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

14115211001304 is a wasteful number, since it uses less digits than its factorization.

14115211001304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61463792 (or 61463788 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 14115211001304 its reverse (40310011251141), we get a palindrome (54425222252445).

The spelling of 14115211001304 in words is "fourteen trillion, one hundred fifteen billion, two hundred eleven million, one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1367 2734 4101 5468 8202 9569 10936 16404 19138 28707 32808 38276 57414 76552 114828 229656 61462409 122924818 184387227 245849636 368774454 430236863 491699272 737548908 860473726 1290710589 1475097816 1720947452 2581421178 3441894904 5162842356 10325684712 84019113103 168038226206 252057339309 336076452412 504114678618 588133791721 672152904824 1008229357236 1176267583442 1764401375163 2016458714472 2352535166884 3528802750326 4705070333768 7057605500652 14115211001304