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14044341432 = 23311311799587
BaseRepresentation
bin11010001010001101…
…11010010010111000
31100020202220110120210
431011012322102320
5212230322411212
610241334551120
71005013634562
oct150506722270
940222813523
1014044341432
115a57734650
12287b5084a0
13142a865804
1497333a332
15572e9153c
hex3451ba4b8

14044341432 has 128 divisors (see below), whose sum is σ = 39763353600. Its totient is φ = 4095139200.

The previous prime is 14044341349. The next prime is 14044341457. The reversal of 14044341432 is 23414344041.

It is a self number, because there is not a number n which added to its sum of digits gives 14044341432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1460143 + ... + 1469729.

It is an arithmetic number, because the mean of its divisors is an integer number (310651200).

Almost surely, 214044341432 is an apocalyptic number.

14044341432 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 14044341432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19881676800).

14044341432 is an abundant number, since it is smaller than the sum of its proper divisors (25719012168).

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

14044341432 is a wasteful number, since it uses less digits than its factorization.

14044341432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14044341432 its reverse (23414344041), we get a palindrome (37458685473).

The spelling of 14044341432 in words is "fourteen billion, forty-four million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 179 186 248 264 341 358 372 537 682 716 744 1023 1074 1364 1432 1969 2046 2148 2728 3938 4092 4296 5549 5907 7876 8184 9587 11098 11814 15752 16647 19174 22196 23628 28761 33294 38348 44392 47256 57522 61039 66588 76696 105457 115044 122078 133176 183117 210914 230088 244156 297197 316371 366234 421828 488312 594394 632742 732468 843656 891591 1188788 1265484 1464936 1716073 1783182 2377576 2530968 3269167 3432146 3566364 5148219 6538334 6864292 7132728 9807501 10296438 13076668 13728584 18876803 19615002 20592876 26153336 37753606 39230004 41185752 53198263 56630409 75507212 78460008 106396526 113260818 151014424 159594789 212793052 226521636 319189578 425586104 453043272 585180893 638379156 1170361786 1276758312 1755542679 2340723572 3511085358 4681447144 7022170716 14044341432