Search a number
-
+
14011320234032 = 241135801113417
BaseRepresentation
bin1100101111100100001111…
…0000111111000000110000
31211121110122222221102111122
43023321003300333000300
53314030140434442112
645444413415001412
72644166401635242
oct313710360770060
954543588842448
1014011320234032
114512192aa8000
1216a35a2969268
137a8353312194
14366219a9c092
151946eeb46872
hexcbe43c3f030

14011320234032 has 80 divisors (see below), whose sum is σ = 29864997294624. Its totient is φ = 6367627904000.

The previous prime is 14011320234019. The next prime is 14011320234059. The reversal of 14011320234032 is 23043202311041.

It is a junction number, because it is equal to n+sod(n) for n = 14011320233992 and 14011320234010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123481388 + ... + 123594804.

Almost surely, 214011320234032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011320234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932498647312).

14011320234032 is an abundant number, since it is smaller than the sum of its proper divisors (15853677060592).

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

14011320234032 is a wasteful number, since it uses less digits than its factorization.

14011320234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119259 (or 119231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14011320234032 its reverse (23043202311041), we get a palindrome (37054522545073).

The spelling of 14011320234032 in words is "fourteen trillion, eleven billion, three hundred twenty million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 5801 10648 11602 21296 23204 46408 63811 92816 113417 127622 226834 255244 453668 510488 701921 907336 1020976 1247587 1403842 1814672 2495174 2807684 4990348 5615368 7721131 9980696 11230736 13723457 15442262 19961392 27446914 30884524 54893828 61769048 109787656 123538096 150958027 219575312 301916054 603832108 657932017 1207664216 1315864034 2415328432 2631728068 5263456136 7237252187 10526912272 14474504374 28949008748 57898017496 79609774057 115796034992 159219548114 318439096228 636878192456 875707514627 1273756384912 1751415029254 3502830058508 7005660117016 14011320234032