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144105134254236 = 223225735943385977
BaseRepresentation
bin100000110001000000010111…
…010101100110100010011100
3200220020022112120120201112100
4200301000113111212202130
5122342004303332113421
61230252552413005100
742232152364515021
oct4061002725464234
9626208476521470
10144105134254236
1141a0970a523131
12141b4659a83790
13625409592240c
142782a234d9548
15119d78a306c26
hex83101756689c

144105134254236 has 72 divisors (see below), whose sum is σ = 366701756934240. Its totient is φ = 47714855141376.

The previous prime is 144105134254223. The next prime is 144105134254253. The reversal of 144105134254236 is 632452431501441.

144105134254236 is a `hidden beast` number, since 1 + 4 + 4 + 10 + 51 + 3 + 42 + 542 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144105134254191 and 144105134254200.

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, 18371521 + ... + 25014456.

It is an arithmetic number, because the mean of its divisors is an integer number (5093079957420).

Almost surely, 2144105134254236 is an apocalyptic number.

It is an amenable number.

144105134254236 is an abundant number, since it is smaller than the sum of its proper divisors (222596622680004).

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

144105134254236 is a wasteful number, since it uses less digits than its factorization.

144105134254236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43386603 (or 43386598 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 144105134254236 its reverse (632452431501441), we get a palindrome (776557565755677).

The spelling of 144105134254236 in words is "one hundred forty-four trillion, one hundred five billion, one hundred thirty-four million, two hundred fifty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 257 359 514 718 771 1028 1077 1436 1542 2154 2313 3084 3231 4308 4626 6462 9252 12924 92263 184526 276789 369052 553578 830367 1107156 1660734 3321468 43385977 86771954 130157931 173543908 260315862 390473793 520631724 780947586 1561895172 11150196089 15575565743 22300392178 31151131486 33450588267 44600784356 46726697229 62302262972 66901176534 93453394458 100351764801 133802353068 140180091687 186906788916 200703529602 280360183374 401407059204 560720366748 4002920395951 8005840791902 12008761187853 16011681583804 24017522375706 36026283563559 48035044751412 72052567127118 144105134254236