Search a number
-
+
14044431431412 = 22323742192499139
BaseRepresentation
bin1100110001011111100101…
…0110001011011011110100
31211201122010120111112100100
43030113321112023123310
53320100443421301122
645511531150514100
72646451050316344
oct314277126133364
954648116445310
1014044431431412
114525234450738
1216a9aa3805930
137ab4cc122b75
14367a7b3b6d24
151954db97baac
hexcc5f958b6f4

14044431431412 has 72 divisors (see below), whose sum is σ = 36469350226400. Its totient is φ = 4553869284288.

The previous prime is 14044431431357. The next prime is 14044431431453. The reversal of 14044431431412 is 21413413444041.

14044431431412 is a `hidden beast` number, since 1 + 4 + 0 + 44 + 431 + 43 + 141 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4370139 + ... + 6869277.

Almost surely, 214044431431412 is an apocalyptic number.

14044431431412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14044431431412 is an abundant number, since it is smaller than the sum of its proper divisors (22424918794988).

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

14044431431412 is a wasteful number, since it uses less digits than its factorization.

14044431431412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503405 (or 2503400 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14044431431412 its reverse (21413413444041), we get a palindrome (35457844875453).

The spelling of 14044431431412 in words is "fourteen trillion, forty-four billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 4219 8438 12657 16876 25314 37971 50628 75942 151884 156103 312206 468309 624412 936618 1404927 1873236 2499139 2809854 4998278 5619708 7497417 9996556 14994834 22492251 29989668 44984502 89969004 92468143 184936286 277404429 369872572 554808858 832213287 1109617716 1664426574 3328853148 10543867441 21087734882 31631602323 42175469764 63263204646 94894806969 126526409292 189789613938 379579227876 390123095317 780246190634 1170369285951 1560492381268 2340738571902 3511107857853 4681477143804 7022215715706 14044431431412