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230144233441014 = 232711153156185221
BaseRepresentation
bin110100010101000010100001…
…010010000000011011110110
31010011212120111022222210010100
4310111002201102000123312
5220131140342230103024
62133250445023534530
766322241436023664
oct6425024122003366
91104776438883110
10230144233441014
1167370691a25422
122198b5b215a446
139b5567b3770a9
1440b907c95bc34
151b918a65727c9
hexd150a14806f6

230144233441014 has 48 divisors (see below), whose sum is σ = 506107591295904. Its totient is φ = 75568656844800.

The previous prime is 230144233440983. The next prime is 230144233441021. The reversal of 230144233441014 is 410144332441032.

230144233441014 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 4 + 4 + 233 + 4 + 410 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 230144233441014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76619077 + ... + 79566144.

It is an arithmetic number, because the mean of its divisors is an integer number (10543908151998).

Almost surely, 2230144233441014 is an apocalyptic number.

230144233441014 is an abundant number, since it is smaller than the sum of its proper divisors (275963357854890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230144233441014 is a wasteful number, since it uses less digits than its factorization.

230144233441014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156186453 (or 156186450 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 230144233441014 its reverse (410144332441032), we get a palindrome (640288565882046).

The spelling of 230144233441014 in words is "two hundred thirty trillion, one hundred forty-four billion, two hundred thirty-three million, four hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1153 1278 2306 3459 6918 10377 20754 81863 163726 245589 491178 736767 1473534 156185221 312370442 468555663 937111326 1405666989 2811333978 11089150691 22178301382 33267452073 66534904146 99802356219 180081559813 199604712438 360163119626 540244679439 1080489358878 1620734038317 3241468076634 12785790746723 25571581493446 38357372240169 76714744480338 115072116720507 230144233441014