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14244014413332 = 22321146377688409
BaseRepresentation
bin1100111101000111000101…
…1010110101011000010100
31212102201021212002111120200
43033101301122311120110
53331333220142211312
650143335422500500
73000044645552244
oct317216132653024
955381255074520
1014244014413332
1145a1941882aa0
121720703734730
137c4287c22682
143735b1d43b24
1519a7bd4ca0dc
hexcf4716b5614

14244014413332 has 72 divisors (see below), whose sum is σ = 39363785086080. Its totient is φ = 4307045339520.

The previous prime is 14244014413309. The next prime is 14244014413333. The reversal of 14244014413332 is 23331441044241.

14244014413332 is a `hidden beast` number, since 1 + 42 + 440 + 1 + 44 + 133 + 3 + 2 = 666.

14244014413332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244014413333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38660857 + ... + 39027552.

Almost surely, 214244014413332 is an apocalyptic number.

14244014413332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14244014413332 is an abundant number, since it is smaller than the sum of its proper divisors (25119770672748).

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

14244014413332 is a wasteful number, since it uses less digits than its factorization.

14244014413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77688893 (or 77688888 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14244014413332 its reverse (23331441044241), we get a palindrome (37575455457573).

The spelling of 14244014413332 in words is "fourteen trillion, two hundred forty-four billion, fourteen million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 463 926 1389 1852 2778 4167 5093 5556 8334 10186 15279 16668 20372 30558 45837 61116 91674 183348 77688409 155376818 233065227 310753636 466130454 699195681 854572499 932260908 1398391362 1709144998 2563717497 2796782724 3418289996 5127434994 7691152491 10254869988 15382304982 30764609964 35969733367 71939466734 107909200101 143878933468 215818400202 323727600303 395667067037 431636800404 647455200606 791334134074 1187001201111 1294910401212 1582668268148 2374002402222 3561003603333 4748004804444 7122007206666 14244014413332