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14012234121340 = 22572131327828833
BaseRepresentation
bin1100101111100111101000…
…1111001100000001111100
31211121120000200120201012201
43023321322033030001330
53314034023413340330
645445044222441244
72644231136563600
oct313717217140174
954546020521181
1014012234121340
114512611955074
1216a37b8a33224
137a846a75b8c0
143662a51d1500
15194754eb7eca
hexcbe7a3cc07c

14012234121340 has 144 divisors (see below), whose sum is σ = 36890778056832. Its totient is φ = 4431293927424.

The previous prime is 14012234121299. The next prime is 14012234121341. The reversal of 14012234121340 is 4312143221041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14012234121299 and 14012234121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012234121341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16491564 + ... + 17320396.

It is an arithmetic number, because the mean of its divisors is an integer number (256185958728).

Almost surely, 214012234121340 is an apocalyptic number.

14012234121340 is a gapful number since it is divisible by the number (10) 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 14012234121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445389028416).

14012234121340 is an abundant number, since it is smaller than the sum of its proper divisors (22878543935492).

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

14012234121340 is a wasteful number, since it uses less digits than its factorization.

14012234121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830196 (or 830187 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14012234121340 its reverse (4312143221041), we get a palindrome (18324377342381).

The spelling of 14012234121340 in words is "fourteen trillion, twelve billion, two hundred thirty-four million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1327 1820 2548 2654 3185 5308 6370 6635 9289 12740 13270 17251 18578 26540 34502 37156 46445 65023 69004 86255 92890 120757 130046 172510 185780 241514 260092 325115 345020 483028 603785 650230 828833 845299 1207570 1300460 1657666 1690598 2415140 3315332 3381196 4144165 4226495 5801831 8288330 8452990 10774829 11603662 16576660 16905980 21549658 23207324 29009155 40612817 43099316 53874145 58018310 75423803 81225634 107748290 116036620 150847606 162451268 203064085 215496580 301695212 377119015 406128170 527966621 754238030 812256340 1055933242 1099861391 1508476060 2111866484 2199722782 2639833105 4399445564 5279666210 5499306955 7699029737 10559332420 10998613910 14298198083 15398059474 21997227820 28596396166 30796118948 38495148685 53893208159 57192792332 71490990415 76990297370 100087386581 107786416318 142981980830 153980594740 200174773162 215572832636 269466040795 285963961660 400349546324 500436932905 538932081590 700611706067 1000873865810 1077864163180 1401223412134 2001747731620 2802446824268 3503058530335 7006117060670 14012234121340