Search a number
-
+
14320200202341 = 3113189439358277
BaseRepresentation
bin1101000001100010111001…
…1100100011100001100101
31212200222221101002120201220
43100120232130203201211
53334110232222433331
650242335324410553
73005412624226215
oct320305634434145
955628841076656
1014320200202341
114621187761990
1217334260a6a59
137cb509a858b7
1437715c2cc245
1519c77bbc2296
hexd062e723865

14320200202341 has 64 divisors (see below), whose sum is σ = 21792474316800. Its totient is φ = 8285634086400.

The previous prime is 14320200202309. The next prime is 14320200202351.

It is a happy number.

14320200202341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14320200202341 - 25 = 14320200202309 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14320200202351) 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, 39790495 + ... + 40148771.

It is an arithmetic number, because the mean of its divisors is an integer number (340507411200).

Almost surely, 214320200202341 is an apocalyptic number.

14320200202341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14320200202341 is a deficient number, since it is larger than the sum of its proper divisors (7472274114459).

14320200202341 is a wasteful number, since it uses less digits than its factorization.

14320200202341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358850.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 14320200 and 202341, that added together give a palindrome (14522541).

The spelling of 14320200202341 in words is "fourteen trillion, three hundred twenty billion, two hundred million, two hundred two thousand, three hundred forty-one".

Divisors: 1 3 11 31 33 89 93 267 341 439 979 1023 1317 2759 2937 4829 8277 13609 14487 30349 39071 40827 91047 117213 149699 358277 429781 449097 1074831 1211201 1289343 3633603 3941047 11106587 11823141 13323211 31886653 33319761 39969633 95659959 122172457 157283603 350753183 366517371 471850809 988486243 1052259549 1730119633 2965458729 4875791693 5190358899 10873348673 13998240667 14627375079 32620046019 41994722001 53633708623 153980647337 160901125869 433945460677 461941942011 1301836382031 4773400067447 14320200202341