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14413312212320 = 255727147487191
BaseRepresentation
bin1101000110111101110001…
…0110101011110101100000
31220000220021111202210000002
43101233130112223311200
53342121430411243240
650353214554115132
73015220212241160
oct321573426536540
956026244683002
1014413312212320
114657718a9814a
12174949111baa8
138072285495a8
1437b87262c5a0
1519edcb36ad15
hexd1bdc5abd60

14413312212320 has 96 divisors (see below), whose sum is σ = 39059545061376. Its totient is φ = 4923471859200.

The previous prime is 14413312212239. The next prime is 14413312212329. The reversal of 14413312212320 is 2321221331441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413312212329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23440076 + ... + 24047115.

It is an arithmetic number, because the mean of its divisors is an integer number (406870261056).

Almost surely, 214413312212320 is an apocalyptic number.

14413312212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14413312212320 is an abundant number, since it is smaller than the sum of its proper divisors (24646232849056).

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

14413312212320 is a wasteful number, since it uses less digits than its factorization.

14413312212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47487484 (or 47487476 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 14413312212320 its reverse (2321221331441), we get a palindrome (16734533543761).

The spelling of 14413312212320 in words is "fourteen trillion, four hundred thirteen billion, three hundred twelve million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 271 280 542 560 1084 1120 1355 1897 2168 2710 3794 4336 5420 7588 8672 9485 10840 15176 18970 21680 30352 37940 43360 60704 75880 151760 303520 47487191 94974382 189948764 237435955 332410337 379897528 474871910 664820674 759795056 949743820 1329641348 1519590112 1662051685 1899487640 2659282696 3324103370 3798975280 5318565392 6648206740 7597950560 10637130784 12869028761 13296413480 25738057522 26592826960 51476115044 53185653920 64345143805 90083201327 102952230088 128690287610 180166402654 205904460176 257380575220 360332805308 411808920352 450416006635 514761150440 720665610616 900832013270 1029522300880 1441331221232 1801664026540 2059044601760 2882662442464 3603328053080 7206656106160 14413312212320