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114014133441 = 33137939710357
BaseRepresentation
bin110101000101111000…
…1011001110011000001
3101220021211201002021000
41222023301121303001
53332000104232231
6124213302322213
711144243100255
oct1521361316301
9356254632230
10114014133441
1144398007a6a
121a11b129369
13a9a00296b0
145738376265
152e747106e6
hex1a8bc59cc1

114014133441 has 64 divisors (see below), whose sum is σ = 184687283200. Its totient is φ = 69093243648.

The previous prime is 114014133439. The next prime is 114014133481. The reversal of 114014133441 is 144331410411.

114014133441 is a `hidden beast` number, since 11 + 40 + 141 + 33 + 441 = 666.

It is not a de Polignac number, because 114014133441 - 21 = 114014133439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114014133481) 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, 11003235 + ... + 11013591.

It is an arithmetic number, because the mean of its divisors is an integer number (2885738800).

Almost surely, 2114014133441 is an apocalyptic number.

It is an amenable number.

114014133441 is a deficient number, since it is larger than the sum of its proper divisors (70673149759).

114014133441 is a wasteful number, since it uses less digits than its factorization.

114014133441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855 (or 10849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114014133441 its reverse (144331410411), we get a palindrome (258345543852).

The spelling of 114014133441 in words is "one hundred fourteen billion, fourteen million, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 79 117 237 351 397 711 1027 1191 2133 3081 3573 5161 9243 10357 10719 15483 27729 31071 31363 46449 93213 94089 134641 139347 279639 282267 403923 407719 818203 846801 1211769 1223157 2454609 3635307 3669471 4111729 7363827 10636639 11008413 12335187 22091481 31909917 37005561 53452477 95729751 111016683 160357431 287189253 324826591 481072293 974479773 1443216879 2923439319 4222745683 8770317957 12668237049 38004711147 114014133441