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14303400430341 = 3112274575417723
BaseRepresentation
bin1101000000100100010100…
…0110100000101100000101
31212122101120120100202000010
43100021011012200230011
53333321331002232331
650230520315140433
73004246411432131
oct320110506405405
955571516322003
1014303400430341
1146150467215a0
121730117a44719
137c9a603c94c9
143764070503c1
1519c0e6d9be46
hexd02451a0b05

14303400430341 has 64 divisors (see below), whose sum is σ = 20983750511616. Its totient is φ = 8594623065600.

The previous prime is 14303400430261. The next prime is 14303400430349.

14303400430341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14303400430341 - 27 = 14303400430213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14303400430299 and 14303400430308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14303400430349) 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, 1852048506 + ... + 1852056228.

It is an arithmetic number, because the mean of its divisors is an integer number (327871101744).

Almost surely, 214303400430341 is an apocalyptic number.

14303400430341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14303400430341 is a deficient number, since it is larger than the sum of its proper divisors (6680350081275).

14303400430341 is a wasteful number, since it uses less digits than its factorization.

14303400430341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 14303400 and 430341, that added together give a palindrome (14733741).

The spelling of 14303400430341 in words is "fourteen trillion, three hundred three billion, four hundred million, four hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 11 33 227 457 541 681 1371 1623 2497 5027 5951 7491 7723 15081 17853 23169 84953 103739 122807 247237 254859 311217 368421 741711 1141129 1350877 1753121 2719607 3423387 3529411 4052631 4178143 5259363 8158821 10588233 12534429 19284331 38823521 45959573 56122799 57852993 116470563 137878719 168368397 617350789 801176297 948438461 1852052367 1909411351 2403528891 2845315383 5728234053 8812939267 10432823071 21003524861 26438817801 31298469213 63010574583 433436376677 1300309130031 4767800143447 14303400430341