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14012240000 = 27541115923
BaseRepresentation
bin11010000110011000…
…11101000010000000
31100011112111112200212
431003030131002000
5212144113140000
610234230533252
71004144034443
oct150314350200
940145445625
1014012240000
115a405a9340
122870807228
131424006195
1496cd8165a
1557024ec35
hex34331d080

14012240000 has 160 divisors (see below), whose sum is σ = 38056130640. Its totient is φ = 5095040000.

The previous prime is 14012239973. The next prime is 14012240017. The reversal of 14012240000 is 4221041.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 872039 + ... + 887961.

Almost surely, 214012240000 is an apocalyptic number.

14012240000 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 14012240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028065320).

14012240000 is an abundant number, since it is smaller than the sum of its proper divisors (24043890640).

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

14012240000 is an equidigital number, since it uses as much as digits as its factorization.

14012240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15968 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 14012240000 its reverse (4221041), we get a palindrome (14016461041).

The spelling of 14012240000 in words is "fourteen billion, twelve million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 15923 16000 17600 20000 22000 27500 31846 35200 40000 44000 55000 63692 79615 80000 88000 110000 127384 159230 175153 176000 220000 254768 318460 350306 398075 440000 509536 636920 700612 796150 875765 880000 1019072 1273840 1401224 1592300 1751530 1990375 2038144 2547680 2802448 3184600 3503060 3980750 4378825 5095360 5604896 6369200 7006120 7961500 8757650 9951875 10190720 11209792 12738400 14012240 15923000 17515300 19903750 21894125 22419584 25476800 28024480 31846000 35030600 39807500 43788250 50953600 56048960 63692000 70061200 79615000 87576500 109470625 112097920 127384000 140122400 159230000 175153000 218941250 254768000 280244800 318460000 350306000 437882500 560489600 636920000 700612000 875765000 1273840000 1401224000 1751530000 2802448000 3503060000 7006120000 14012240000