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14413442112312 = 233837235663711
BaseRepresentation
bin1101000110111110010000…
…0110001101101100111000
31220000220121120012101021220
43101233210012031230320
53342122212140043222
650353235514232040
73015223350334305
oct321574406155470
956026546171256
1014413442112312
114657785350a11
121749508725620
1380724942b6a9
1437b8859a40ac
1519edd7979b5c
hexd1be418db38

14413442112312 has 32 divisors (see below), whose sum is σ = 36467745108480. Its totient is φ = 4746595393760.

The previous prime is 14413442112263. The next prime is 14413442112319. The reversal of 14413442112312 is 21321124431441.

14413442112312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413442112319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3617829864 + ... + 3617833847.

It is an arithmetic number, because the mean of its divisors is an integer number (1139617034640).

Almost surely, 214413442112312 is an apocalyptic number.

14413442112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14413442112312 is an abundant number, since it is smaller than the sum of its proper divisors (22054302996168).

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

14413442112312 is a wasteful number, since it uses less digits than its factorization.

14413442112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235663803 (or 7235663799 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 14413442112312 its reverse (21321124431441), we get a palindrome (35734566543753).

The spelling of 14413442112312 in words is "fourteen trillion, four hundred thirteen billion, four hundred forty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 7235663711 14471327422 21706991133 28942654844 43413982266 57885309688 86827964532 173655929064 600560088013 1201120176026 1801680264039 2402240352052 3603360528078 4804480704104 7206721056156 14413442112312