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14234304221440 = 285106671042519
BaseRepresentation
bin1100111100100010111010…
…1001011001000100000000
31212101210020010122122102221
43033020232221121010000
53331203323340041230
650135052111420424
72666252220361012
oct317105651310400
955353203578387
1014234304221440
114598809711116
12171a853824714
137c339b2a4cb4
14372d304a01b2
1519a400cb627a
hexcf22ea59100

14234304221440 has 72 divisors (see below), whose sum is σ = 34098835901760. Its totient is φ = 5693182457856.

The previous prime is 14234304221437. The next prime is 14234304221443. The reversal of 14234304221440 is 4412240343241.

It is an interprime number because it is at equal distance from previous prime (14234304221437) and next prime (14234304221443).

It is a junction number, because it is equal to n+sod(n) for n = 14234304221396 and 14234304221405.

It is not an unprimeable number, because it can be changed into a prime (14234304221443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13132501 + ... + 14175019.

It is an arithmetic number, because the mean of its divisors is an integer number (473594943080).

Almost surely, 214234304221440 is an apocalyptic number.

14234304221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234304221440 is an abundant number, since it is smaller than the sum of its proper divisors (19864531680320).

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

14234304221440 is a wasteful number, since it uses less digits than its factorization.

14234304221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053207 (or 1053193 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14234304221440 its reverse (4412240343241), we get a palindrome (18646544564681).

The spelling of 14234304221440 in words is "fourteen trillion, two hundred thirty-four billion, three hundred four million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 10667 21334 42668 53335 85336 106670 170672 213340 341344 426680 682688 853360 1042519 1365376 1706720 2085038 2730752 3413440 4170076 5212595 6826880 8340152 10425190 13653760 16680304 20850380 33360608 41700760 66721216 83401520 133442432 166803040 266884864 333606080 667212160 1334424320 11120550173 22241100346 44482200692 55602750865 88964401384 111205501730 177928802768 222411003460 355857605536 444822006920 711715211072 889644013840 1423430422144 1779288027680 2846860844288 3558576055360 7117152110720 14234304221440