Search a number
-
+
14202411420241 = 1153127211909091
BaseRepresentation
bin1100111010101100000110…
…1100000000101001010001
31212021201220110201110221201
43032223001230000221101
53330143014310421431
650112255302151201
72664042665134222
oct316530154005121
955251813643851
1014202411420241
114586232a99580
121714632a22501
137c0387a29bb5
14371586903249
15199685e02461
hexceac1b00a51

14202411420241 has 32 divisors (see below), whose sum is σ = 15985590091776. Its totient is φ = 12508351128000.

The previous prime is 14202411420217. The next prime is 14202411420247.

14202411420241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14202411420241 - 235 = 14168051681873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14202411420247) 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, 15168106 + ... + 16077196.

It is an arithmetic number, because the mean of its divisors is an integer number (499549690368).

Almost surely, 214202411420241 is an apocalyptic number.

14202411420241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14202411420241 is a deficient number, since it is larger than the sum of its proper divisors (1783178671535).

14202411420241 is a wasteful number, since it uses less digits than its factorization.

14202411420241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909493.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 1420241 and 1420241, that added together give a palindrome (2840482).

The spelling of 14202411420241 in words is "fourteen trillion, two hundred two billion, four hundred eleven million, four hundred twenty thousand, two hundred forty-one".

Divisors: 1 11 53 127 211 583 1397 2321 6731 11183 26797 74041 123013 294767 909091 1420241 10000001 15622651 48181823 115454557 191818201 530000053 1270000127 2110000211 6119091521 10166364653 24360911527 67310006731 111830011183 267970026797 1291128310931 14202411420241