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14001441012312 = 233132772584869
BaseRepresentation
bin1100101110111111011011…
…1010101111101001011000
31211120112011111102222000220
43023233312322233221120
53313344422344343222
645440101225000040
72643366521635455
oct313576672575130
954515144388026
1014001441012312
114508a83486556
1216a16a6323020
137a743a661c60
1436595d9b882c
15194322694b5c
hexcbbf6eafa58

14001441012312 has 96 divisors (see below), whose sum is σ = 37832830635600. Its totient is φ = 4292575520256.

The previous prime is 14001441012241. The next prime is 14001441012313. The reversal of 14001441012312 is 21321014410041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001441012313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23647014 + ... + 24231882.

Almost surely, 214001441012312 is an apocalyptic number.

14001441012312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001441012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916415317800).

14001441012312 is an abundant number, since it is smaller than the sum of its proper divisors (23831389623288).

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

14001441012312 is a wasteful number, since it uses less digits than its factorization.

14001441012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585445 (or 585164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14001441012312 its reverse (21321014410041), we get a palindrome (35322455422353).

The spelling of 14001441012312 in words is "fourteen trillion, one billion, four hundred forty-one million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 277 312 554 831 1108 1662 2216 3324 3601 6648 7202 10803 14404 21606 28808 43212 76729 86424 153458 230187 306916 460374 584869 613832 920748 997477 1169738 1754607 1841496 1994954 2339476 2992431 3509214 3989908 4678952 5984862 7018428 7603297 7979816 11969724 14036856 15206594 22809891 23939448 30413188 45619782 60826376 91239564 162008713 182479128 324017426 486026139 648034852 972052278 1296069704 1944104556 2106113269 3888209112 4212226538 6318339807 8424453076 12636679614 16848906152 25273359228 44876413501 50546718456 89752827002 134629240503 179505654004 269258481006 359011308008 538516962012 583393375513 1077033924024 1166786751026 1750180126539 2333573502052 3500360253078 4667147004104 7000720506156 14001441012312