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14452297288 = 23111327912301
BaseRepresentation
bin11010111010110110…
…01000111001001000
31101022012112202210221
431131123020321020
5214044242003123
610350030515424
71021066333342
oct153533107110
941265482727
1014452297288
116146a43950
122974065b74
131494231400
149b15b2292
15598bc725d
hex35d6c8e48

14452297288 has 96 divisors (see below), whose sum is σ = 32418230400. Its totient is φ = 5986656000.

The previous prime is 14452297283. The next prime is 14452297333. The reversal of 14452297288 is 88279225441.

14452297288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (14452297283) 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 23 ways as a sum of consecutive naturals, for example, 1168738 + ... + 1181038.

It is an arithmetic number, because the mean of its divisors is an integer number (337689900).

Almost surely, 214452297288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14452297288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209115200).

14452297288 is an abundant number, since it is smaller than the sum of its proper divisors (17965933112).

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

14452297288 is a wasteful number, since it uses less digits than its factorization.

14452297288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12406 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The spelling of 14452297288 in words is "fourteen billion, four hundred fifty-two million, two hundred ninety-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 79 88 104 143 158 169 286 316 338 572 632 676 869 1027 1144 1352 1738 1859 2054 3476 3718 4108 6952 7436 8216 11297 12301 13351 14872 22594 24602 26702 45188 49204 53404 90376 98408 106808 135311 146861 159913 270622 293722 319826 541244 587444 639652 971779 1082488 1174888 1279304 1759043 1943558 2078869 3518086 3887116 4157738 7036172 7774232 8315476 10689569 12633127 14072344 16630952 21379138 22867559 25266254 42758276 45735118 50532508 85516552 91470236 101065016 138964397 164230651 182940472 277928794 328461302 555857588 656922604 1111715176 1313845208 1806537161 3613074322 7226148644 14452297288