Search a number
-
+
14400144433233 = 3213187165782019
BaseRepresentation
bin1101000110001100101101…
…1111100110000001010001
31212222122021211021021220100
43101203023133212001101
53341412443433330413
650343200211003013
73014243001044526
oct321431337460121
955878254237810
1014400144433233
114652081137899
121746a17299469
13805c0a492430
1437ad838ab14d
1519e8aa326a73
hexd18cb7e6051

14400144433233 has 24 divisors (see below), whose sum is σ = 22412197342080. Its totient is φ = 8856890903520.

The previous prime is 14400144433231. The next prime is 14400144433247. The reversal of 14400144433233 is 33233444100441.

14400144433233 is a `hidden beast` number, since 1 + 4 + 400 + 14 + 4 + 4 + 3 + 3 + 233 = 666.

It is not a de Polignac number, because 14400144433233 - 21 = 14400144433231 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14400144433231) 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, 32672103 + ... + 33109916.

It is an arithmetic number, because the mean of its divisors is an integer number (933841555920).

Almost surely, 214400144433233 is an apocalyptic number.

14400144433233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14400144433233 is a deficient number, since it is larger than the sum of its proper divisors (8012052908847).

14400144433233 is a wasteful number, since it uses less digits than its factorization.

14400144433233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65783909 (or 65783906 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14400144433233 its reverse (33233444100441), we get a palindrome (47633588533674).

The spelling of 14400144433233 in words is "fourteen trillion, four hundred billion, one hundred forty-four million, four hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 1871 5613 16839 24323 72969 218907 65782019 197346057 592038171 855166247 2565498741 7696496223 123078157549 369234472647 1107703417941 1600016048137 4800048144411 14400144433233