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14501134120 = 23511312713923
BaseRepresentation
bin11011000000101010…
…11011111100101000
31101102121102221100111
431200111123330220
5214144242242440
610354533344104
71022231414644
oct154025337450
941377387314
1014501134120
11617156a770
122988498034
1314a13a0245
149b7c85c24
1559d1224ea
hex36055bf28

14501134120 has 128 divisors (see below), whose sum is σ = 36886855680. Its totient is φ = 5082912000.

The previous prime is 14501134117. The next prime is 14501134133. The reversal of 14501134120 is 2143110541.

14501134120 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 14501134091 and 14501134100.

It is an unprimeable number.

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, 3694479 + ... + 3698401.

It is an arithmetic number, because the mean of its divisors is an integer number (288178560).

Almost surely, 214501134120 is an apocalyptic number.

14501134120 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 14501134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443427840).

14501134120 is an abundant number, since it is smaller than the sum of its proper divisors (22385721560).

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

14501134120 is a wasteful number, since it uses less digits than its factorization.

14501134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 14501134120 its reverse (2143110541), we get a palindrome (16644244661).

The spelling of 14501134120 in words is "fourteen billion, five hundred one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 271 310 341 440 542 620 682 1084 1240 1355 1364 1705 2168 2710 2728 2981 3410 3923 5420 5962 6820 7846 8401 10840 11924 13640 14905 15692 16802 19615 23848 29810 31384 33604 39230 42005 43153 59620 67208 78460 84010 86306 92411 119240 121613 156920 168020 172612 184822 215765 243226 336040 345224 369644 431530 462055 486452 608065 739288 863060 924110 972904 1063133 1216130 1337743 1726120 1848220 2126266 2432260 2675486 3696440 4252532 4864520 5315665 5350972 6688715 8505064 10631330 10701944 11694463 13377430 21262660 23388926 26754860 32957123 42525320 46777852 53509720 58472315 65914246 93555704 116944630 131828492 164785615 233889260 263656984 329571230 362528353 467778520 659142460 725056706 1318284920 1450113412 1812641765 2900226824 3625283530 7250567060 14501134120