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14447243825084 = 227367277567383
BaseRepresentation
bin1101001000111100001011…
…0101100000111110111100
31220011010212021002022011202
43102033002311200332330
53343200423404400314
650420545554235032
73020531112215000
oct322170265407674
956133767068152
1014447243825084
114670050556024
121753b80885a78
1380a4a530a675
1437d370ca8700
151a0c1520c0de
hexd23c2d60fbc

14447243825084 has 96 divisors (see below), whose sum is σ = 30032315980800. Its totient is φ = 6077233141056.

The previous prime is 14447243825057. The next prime is 14447243825111. The reversal of 14447243825084 is 48052834274441.

It is an interprime number because it is at equal distance from previous prime (14447243825057) and next prime (14447243825111).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25179257 + ... + 25746639.

It is an arithmetic number, because the mean of its divisors is an integer number (312836624800).

Almost surely, 214447243825084 is an apocalyptic number.

14447243825084 is a gapful number since it is divisible by the number (14) 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 14447243825084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016157990400).

14447243825084 is an abundant number, since it is smaller than the sum of its proper divisors (15585072155716).

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

14447243825084 is a wasteful number, since it uses less digits than its factorization.

14447243825084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567752 (or 567736 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 56.

The spelling of 14447243825084 in words is "fourteen trillion, four hundred forty-seven billion, two hundred forty-three million, eight hundred twenty-five thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 277 343 469 554 686 938 1108 1372 1876 1939 3283 3878 6566 7756 13132 13573 18559 22981 27146 37118 45962 54292 74236 91924 95011 129913 190022 259826 380044 519652 567383 909391 1134766 1818782 2269532 3637564 3971681 6365737 7943362 12731474 15886724 25462948 27801767 38014661 55603534 76029322 111207068 152058644 157165091 194612369 266102627 314330182 389224738 532205254 628660364 778449476 1064410508 1100155637 1862718389 2200311274 3725436778 4400622548 7450873556 7701089459 10530061097 13039028723 15402178918 21060122194 26078057446 30804357836 42120244388 52156114892 53907626213 73710427679 107815252426 147420855358 215630504852 294841710716 515972993753 1031945987506 2063891975012 3611810956271 7223621912542 14447243825084