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14244011412 = 2232373761929
BaseRepresentation
bin11010100010000001…
…00101110110010100
31100202200121202022020
431101000211312110
5213132431331122
610313230333140
71012660046031
oct152100456624
940680552266
1014244011412
11604a411664
12291635a1b0
131460035827
14991a74388
15585782c5c
hex351025d94

14244011412 has 96 divisors (see below), whose sum is σ = 35240244480. Its totient is φ = 4468654080.

The previous prime is 14244011407. The next prime is 14244011417. The reversal of 14244011412 is 21411044241.

It is an interprime number because it is at equal distance from previous prime (14244011407) and next prime (14244011417).

It is a super-2 number, since 2×142440114122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244011417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15332164 + ... + 15333092.

It is an arithmetic number, because the mean of its divisors is an integer number (367085880).

Almost surely, 214244011412 is an apocalyptic number.

14244011412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244011412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17620122240).

14244011412 is an abundant number, since it is smaller than the sum of its proper divisors (20996233068).

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

14244011412 is a wasteful number, since it uses less digits than its factorization.

14244011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1791 counting only the distinct ones).

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

Adding to 14244011412 its reverse (21411044241), we get a palindrome (35655055653).

The spelling of 14244011412 in words is "fourteen billion, two hundred forty-four million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 761 876 929 1522 1679 1858 2283 2787 3044 3358 3716 4566 5037 5574 6716 9132 10074 11148 17503 20148 21367 35006 42734 52509 55553 64101 67817 70012 85468 105018 111106 128202 135634 166659 203451 210036 222212 256404 271268 333318 406902 666636 706969 813804 1277719 1413938 1559791 2120907 2555438 2827876 3119582 3833157 4241814 4679373 5110876 6239164 7666314 8483628 9358746 15332628 16260287 18717492 32520574 48780861 51608737 65041148 97561722 103217474 154826211 195123444 206434948 309652422 619304844 1187000951 2374001902 3561002853 4748003804 7122005706 14244011412