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14115013440 = 2635111336649
BaseRepresentation
bin11010010010101001…
…00000001101000000
31100102200212222100120
431021110200031000
5212401420412230
610252341420240
71006532430453
oct151124401500
940380788316
1014115013440
115a93614570
12289b10a680
13143c3ab178
1497c89549a
155792a1310
hex349520340

14115013440 has 112 divisors (see below), whose sum is σ = 48889310400. Its totient is φ = 3421818880.

The previous prime is 14115013433. The next prime is 14115013441. The reversal of 14115013440 is 4431051141.

It is a happy number.

It is a super-2 number, since 2×141150134402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14115013440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657765 + ... + 678884.

It is an arithmetic number, because the mean of its divisors is an integer number (436511700).

Almost surely, 214115013440 is an apocalyptic number.

14115013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14115013440 is an abundant number, since it is smaller than the sum of its proper divisors (34774296960).

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

14115013440 is a wasteful number, since it uses less digits than its factorization.

14115013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336680 (or 1336670 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14115013440 its reverse (4431051141), we get a palindrome (18546064581).

The spelling of 14115013440 in words is "fourteen billion, one hundred fifteen million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 1336649 2673298 4009947 5346596 6683245 8019894 10693192 13366490 14703139 16039788 20049735 21386384 26732980 29406278 32079576 40099470 42772768 44109417 53465960 58812556 64159152 73515695 80198940 85545536 88218834 106931920 117625112 128318304 147031390 160397880 176437668 213863840 220547085 235250224 256636608 294062780 320795760 352875336 427727680 441094170 470500448 588125560 641591520 705750672 882188340 941000896 1176251120 1283183040 1411501344 1764376680 2352502240 2823002688 3528753360 4705004480 7057506720 14115013440