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144231112610046 = 232711104062851811
BaseRepresentation
bin100000110010110101101100…
…001110111001000011111110
3200220200100201020002021110100
4200302311230032321003332
5122401040304312010141
61230430505230221530
742244232266051140
oct4062655416710376
9626610636067410
10144231112610046
1141a58086a75480
1214214b579548a6
136262c21567917
142788b74818c90
1511a1bb006c0b6
hex832d6c3b90fe

144231112610046 has 48 divisors (see below), whose sum is σ = 389611317184128. Its totient is φ = 37462626651600.

The previous prime is 144231112610003. The next prime is 144231112610051. The reversal of 144231112610046 is 640016211132441.

144231112610046 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 31 + 1 + 1 + 2 + 610 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×1442311126100462 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52031424520 + ... + 52031427291.

It is an arithmetic number, because the mean of its divisors is an integer number (8116902441336).

Almost surely, 2144231112610046 is an apocalyptic number.

144231112610046 is an abundant number, since it is smaller than the sum of its proper divisors (245380204574082).

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

144231112610046 is a wasteful number, since it uses less digits than its factorization.

144231112610046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104062851837 (or 104062851834 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 144231112610046 its reverse (640016211132441), we get a palindrome (784247323742487).

The spelling of 144231112610046 in words is "one hundred forty-four trillion, two hundred thirty-one billion, one hundred twelve million, six hundred ten thousand, forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 104062851811 208125703622 312188555433 624377110866 728439962677 936565666299 1144691369921 1456879925354 1873131332598 2185319888031 2289382739842 3434074109763 4370639776062 6555959664093 6868148219526 8012839589447 10302222329289 13111919328186 16025679178894 20604444658578 24038518768341 48077037536682 72115556305023 144231112610046