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114223415403141 = 3411211654261341
BaseRepresentation
bin11001111110001010110110…
…000110011010001010000101
3112222102122121012201220010000
4121332022312012122022011
5104432414023320400031
61042533302421151513
733026240500233312
oct3176126606321205
9488378535656100
10114223415403141
1133438973218a00
121098931a85b599
134b972b6550795
14202c62b0a3d09
15d3132e6593e6
hex67e2b619a285

114223415403141 has 30 divisors (see below), whose sum is σ = 187552027776806. Its totient is φ = 69226312359600.

The previous prime is 114223415403127. The next prime is 114223415403269. The reversal of 114223415403141 is 141304514322411.

114223415403141 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 3 + 41 + 540 + 31 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114213037702500 + 10377700641 = 10687050^2 + 101871^2 .

It is not a de Polignac number, because 114223415403141 - 26 = 114223415403077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114223415403096 and 114223415403105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223415403101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5827120870 + ... + 5827140471.

Almost surely, 2114223415403141 is an apocalyptic number.

114223415403141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114223415403141 is a deficient number, since it is larger than the sum of its proper divisors (73328612373665).

114223415403141 is a wasteful number, since it uses less digits than its factorization.

114223415403141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654261375 (or 11654261355 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 114223415403141 its reverse (141304514322411), we get a palindrome (255527929725552).

The spelling of 114223415403141 in words is "one hundred fourteen trillion, two hundred twenty-three billion, four hundred fifteen million, four hundred three thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 11654261341 34962784023 104888352069 128196874751 314665056207 384590624253 943995168621 1153771872759 1410165622261 3461315618277 4230496866783 10383946854831 12691490600349 38074471801047 114223415403141