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14334433443341 = 11192343471475503
BaseRepresentation
bin1101000010010111111011…
…0100000011111000001101
31212202100200022110010210222
43100211332310003320031
53334323404430141331
650253051532241125
73006425423616524
oct320457664037015
955670608403728
1014334433443341
114627220a87580
1217361389101a5
137cc9677b9cab
14377b0c75b4bb
1519cd11528b7b
hexd097ed03e0d

14334433443341 has 64 divisors (see below), whose sum is σ = 17949683220480. Its totient is φ = 11288652661440.

The previous prime is 14334433443329. The next prime is 14334433443371.

14334433443341 is nontrivially palindromic in base 10.

14334433443341 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 14334433443341 - 26 = 14334433443277 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14334433443292 and 14334433443301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334433443371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8977196 + ... + 10452698.

It is an arithmetic number, because the mean of its divisors is an integer number (280463800320).

Almost surely, 214334433443341 is an apocalyptic number.

14334433443341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14334433443341 is a deficient number, since it is larger than the sum of its proper divisors (3615249777139).

14334433443341 is a wasteful number, since it uses less digits than its factorization.

14334433443341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475646.

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 1433443 and 3443341, that added together give a palindrome (4876784).

The spelling of 14334433443341 in words is "fourteen trillion, three hundred thirty-four billion, four hundred thirty-three million, four hundred forty-three thousand, three hundred forty-one".

Divisors: 1 11 19 23 43 47 209 253 437 473 517 817 893 989 1081 2021 4807 8987 9823 10879 11891 18791 20539 22231 38399 46483 206701 225929 422389 511313 883177 1475503 9714947 16230533 28034557 33936569 63446629 69348641 308380127 373302259 644794811 697912919 762835051 1205485951 1317624179 1459272467 1595018743 2981991563 7092742921 13260345461 14493865969 16051997137 17545206173 27726176873 30305356117 32801907193 56657839697 68585805949 304987945603 333358917287 623236236667 754443865439 1303130313031 14334433443341