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14023453320 = 2333539732707
BaseRepresentation
bin11010000111101110…
…01110101010001000
31100012022121020111000
431003313032222020
5212210001001240
610235311135000
71004341246362
oct150367165210
940168536430
1014023453320
115a46968048
122874514460
131426431096
1497065dd32
15571217430
hex343dcea88

14023453320 has 128 divisors (see below), whose sum is σ = 46864022400. Its totient is φ = 3730053888.

The previous prime is 14023453319. The next prime is 14023453321. The reversal of 14023453320 is 2335432041.

14023453320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14023453319) and next prime (14023453321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14023453321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412407 + ... + 445113.

It is an arithmetic number, because the mean of its divisors is an integer number (366125175).

Almost surely, 214023453320 is an apocalyptic number.

14023453320 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 14023453320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23432011200).

14023453320 is an abundant number, since it is smaller than the sum of its proper divisors (32840569080).

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

14023453320 is a wasteful number, since it uses less digits than its factorization.

14023453320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33124 (or 33114 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 14023453320 its reverse (2335432041), we get a palindrome (16358885361).

The spelling of 14023453320 in words is "fourteen billion, twenty-three million, four hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 397 540 794 1080 1191 1588 1985 2382 3176 3573 3970 4764 5955 7146 7940 9528 10719 11910 14292 15880 17865 21438 23820 28584 32707 35730 42876 47640 53595 65414 71460 85752 98121 107190 130828 142920 163535 196242 214380 261656 294363 327070 392484 428760 490605 588726 654140 784968 883089 981210 1177452 1308280 1471815 1766178 1962420 2354904 2943630 3532356 3924840 4415445 5887260 7064712 8830890 11774520 12984679 17661780 25969358 35323560 38954037 51938716 64923395 77908074 103877432 116862111 129846790 155816148 194770185 233724222 259693580 311632296 350586333 389540370 467448444 519387160 584310555 701172666 779080740 934896888 1168621110 1402345332 1558161480 1752931665 2337242220 2804690664 3505863330 4674484440 7011726660 14023453320