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12445444454421 = 311232937101151303
BaseRepresentation
bin1011010100011010111001…
…0010111011100000010101
31122001202212102101221200210
42311012232102323200111
53112401232240020141
642245205214400033
72423103500263206
oct265065622734025
948052772357623
1012445444454421
113a690a0a40450
121490016200019
136c37a6046834
143105114675ad
15168b0429c916
hexb51ae4bb815

12445444454421 has 128 divisors (see below), whose sum is σ = 20267860746240. Its totient is φ = 6710546304000.

The previous prime is 12445444454321. The next prime is 12445444454449.

It is a happy number.

12445444454421 is nontrivially palindromic in base 10.

12445444454421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12445444454421 - 27 = 12445444454293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445444454491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82179456 + ... + 82330758.

It is an arithmetic number, because the mean of its divisors is an integer number (158342662080).

Almost surely, 212445444454421 is an apocalyptic number.

12445444454421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12445444454421 is a deficient number, since it is larger than the sum of its proper divisors (7822416291819).

12445444454421 is a wasteful number, since it uses less digits than its factorization.

12445444454421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151507.

The product of its digits is 6553600, while the sum is 48.

It can be divided in two parts, 1244544 and 4454421, that added together give a palindrome (5698965).

The spelling of 12445444454421 in words is "twelve trillion, four hundred forty-five billion, four hundred forty-four million, four hundred fifty-four thousand, four hundred twenty-one".

Divisors: 1 3 11 23 29 33 37 69 87 101 111 253 303 319 407 667 759 851 957 1073 1111 1221 2001 2323 2553 2929 3219 3333 3737 6969 7337 8787 9361 11211 11803 22011 24679 25553 28083 32219 35409 41107 67367 74037 76659 85951 96657 108373 123321 151303 202101 257853 271469 325119 453909 741037 814407 945461 1192103 1664333 2223111 2492579 2836383 3479969 3576309 4387787 4992999 5598211 7477737 10439907 13163361 15281603 16794633 27418369 38279659 45844809 48265657 61580321 82255107 100919101 114838977 128758853 144796971 162348119 168097633 184740963 302757303 351476869 386276559 443166487 487044357 504292899 565419311 1054430607 1110110111 1329499461 1416347383 1696257933 1785829309 3330330333 3734006737 3866245559 4249042149 4874831357 5357487927 6219612421 10192829201 11202020211 11598736677 13004644153 14624494071 16397160019 18658837263 30578487603 39013932459 41074074107 49191480057 112121121211 123222222321 143051085683 180368760209 336363363633 377134680437 429153257049 541106280627 1131404041311 4148481484807 12445444454421