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14344222414401 = 3211247280253647
BaseRepresentation
bin1101000010111100011001…
…0010000001011001000001
31212210021221112010101122200
43100233012102001121001
53340003431414230101
650301351140023413
73010223126530665
oct320570622013101
955707845111580
1014344222414401
114630394666400
12173800b091b69
1380086785b169
1437839a86a8a5
1519d1d5aee986
hexd0bc6481641

14344222414401 has 36 divisors (see below), whose sum is σ = 23258810754816. Its totient is φ = 8508500692560.

The previous prime is 14344222414399. The next prime is 14344222414409. The reversal of 14344222414401 is 10441422244341.

14344222414401 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 4 + 2 + 2 + 241 + 4 + 401 = 666.

It is not a de Polignac number, because 14344222414401 - 21 = 14344222414399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14344222414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140075641 + ... + 140178006.

Almost surely, 214344222414401 is an apocalyptic number.

14344222414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14344222414401 is a deficient number, since it is larger than the sum of its proper divisors (8914588340415).

14344222414401 is a wasteful number, since it uses less digits than its factorization.

14344222414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280253722 (or 280253708 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14344222414401 its reverse (10441422244341), we get a palindrome (24785644658742).

The spelling of 14344222414401 in words is "fourteen trillion, three hundred forty-four billion, two hundred twenty-two million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 11 33 47 99 121 141 363 423 517 1089 1551 4653 5687 17061 51183 280253647 840760941 2522282823 3082790117 9248370351 13171921409 27745111053 33910691287 39515764227 101732073861 118547292681 144891135499 305196221583 434673406497 1304020219491 1593802490489 4781407471467 14344222414401