Search a number
-
+
14514105440 = 255375994093
BaseRepresentation
bin11011000010001101…
…11010110001100000
31101110111211221122202
431201012322301200
5214211102333230
610400115352332
71022446601132
oct154106726140
941414757582
1014514105440
11617891a26a
1229908b26a8
1314a3c92393
149b98a1052
1559e335a45
hex3611bac60

14514105440 has 96 divisors (see below), whose sum is σ = 35283729600. Its totient is φ = 5637924864.

The previous prime is 14514105427. The next prime is 14514105451. The reversal of 14514105440 is 4450141541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3544034 + ... + 3548126.

It is an arithmetic number, because the mean of its divisors is an integer number (367538850).

Almost surely, 214514105440 is an apocalyptic number.

14514105440 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 14514105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641864800).

14514105440 is an abundant number, since it is smaller than the sum of its proper divisors (20769624160).

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

14514105440 is a wasteful number, since it uses less digits than its factorization.

14514105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 14514105440 its reverse (4450141541), we get a palindrome (18964246981).

The spelling of 14514105440 in words is "fourteen billion, five hundred fourteen million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 599 740 1184 1198 1480 2396 2960 2995 4093 4792 5920 5990 8186 9584 11980 16372 19168 20465 22163 23960 32744 40930 44326 47920 65488 81860 88652 95840 110815 130976 151441 163720 177304 221630 302882 327440 354608 443260 605764 654880 709216 757205 886520 1211528 1514410 1773040 2423056 2451707 3028820 3546080 4846112 4903414 6057640 9806828 12115280 12258535 19613656 24230560 24517070 39227312 49034140 78454624 90713159 98068280 181426318 196136560 362852636 392273120 453565795 725705272 907131590 1451410544 1814263180 2902821088 3628526360 7257052720 14514105440