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14005342312 = 2313283137911
BaseRepresentation
bin11010000101100100…
…01001000001101000
31100011001112002211221
431002302021001220
5212140331423222
610233423031424
71004031305533
oct150262110150
940131462757
1014005342312
115a37717a75
12286a43b574
13142275c700
1496c0a7a1a
1556e83b0c7
hex342c89068

14005342312 has 96 divisors (see below), whose sum is σ = 29019876480. Its totient is φ = 6332551680.

The previous prime is 14005342303. The next prime is 14005342319. The reversal of 14005342312 is 21324350041.

It is a super-2 number, since 2×140053423122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14005342319) 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, 15373137 + ... + 15374047.

It is an arithmetic number, because the mean of its divisors is an integer number (302290380).

Almost surely, 214005342312 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 14005342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509938240).

14005342312 is an abundant number, since it is smaller than the sum of its proper divisors (15014534168).

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

14005342312 is a wasteful number, since it uses less digits than its factorization.

14005342312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14005342312 its reverse (21324350041), we get a palindrome (35329692353).

The spelling of 14005342312 in words is "fourteen billion, five million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 83 104 137 166 169 274 332 338 548 664 676 911 1079 1096 1352 1781 1822 2158 3562 3644 4316 7124 7288 8632 11371 11843 14027 14248 22742 23153 23686 28054 45484 46306 47372 56108 75613 90968 92612 94744 112216 124807 147823 151226 153959 185224 249614 295646 302452 307918 499228 591292 604904 615836 982969 998456 1182584 1231672 1622491 1921699 1965938 3244982 3843398 3931876 6489964 7686796 7863752 10358981 12778597 12979928 15373592 20717962 21092383 25557194 41435924 42184766 51114388 82871848 84369532 102228776 134666753 168739064 269333506 538667012 1077334024 1750667789 3501335578 7002671156 14005342312