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12440011004421 = 371131337925291
BaseRepresentation
bin1011010100000110101001…
…1011111101101000000101
31122001020211202102002111220
42311001222123331220011
53112304120304120141
642242510120550553
72422522032566130
oct265015233755005
948036752362456
1012440011004421
113a668629a1000
12148ab5a622459
136c311b464270
143101579b5217
151688d7276766
hexb506a6fda05

12440011004421 has 128 divisors (see below), whose sum is σ = 23061178355712. Its totient is φ = 5804011065600.

The previous prime is 12440011004381. The next prime is 12440011004459.

12440011004421 is nontrivially palindromic in base 10.

12440011004421 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 12440011004421 - 27 = 12440011004293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12440011004391 and 12440011004400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440011004461) 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, 12981786 + ... + 13907076.

It is an arithmetic number, because the mean of its divisors is an integer number (180165455904).

Almost surely, 212440011004421 is an apocalyptic number.

12440011004421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12440011004421 is a deficient number, since it is larger than the sum of its proper divisors (10621167351291).

12440011004421 is a wasteful number, since it uses less digits than its factorization.

12440011004421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925384 (or 925362 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1244001 and 1004421, that added together give a palindrome (2248422).

The spelling of 12440011004421 in words is "twelve trillion, four hundred forty billion, eleven million, four thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1331 1443 1573 2541 2849 3003 3367 3993 4477 4719 5291 8547 9317 10101 11011 13431 15873 17303 27951 31339 33033 37037 49247 51909 58201 94017 111111 121121 147741 174603 344729 363363 407407 640211 925291 1034187 1222221 1920633 2775873 4481477 6477037 10178201 12028783 13444431 19431111 30534603 34235767 36086349 71247407 84201481 102707301 111960211 132316613 213742221 239650369 252604443 335880633 376593437 396949839 445064971 718951107 783721477 926216291 1129780311 1231562321 1335194913 1455482743 2351164431 2636154059 2778648873 3115454797 3694686963 4142527807 4366448229 4895714681 7908462177 8620936247 9346364391 10188379201 12427583421 14687144043 16010310173 25862808741 28997694649 30565137603 34270002767 45567805877 48030930519 53852861491 86993083947 102810008301 112072171211 136703417631 161558584473 318974641139 336216513633 376970030437 592381476401 956923923417 1130910091311 1777144429203 4146670334807 12440011004421