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14442550410 = 2355914475639
BaseRepresentation
bin11010111001101011…
…11101010010001010
31101021112012120121110
431130311331102022
5214034243103120
610345041551150
71020620436651
oct153465752212
941245176543
1014442550410
116141496982
1229709454b6
1314921cab22
149b0196198
15597dee2e0
hex35cd7d48a

14442550410 has 64 divisors (see below), whose sum is σ = 35280230400. Its totient is φ = 3782782272.

The previous prime is 14442550399. The next prime is 14442550411. The reversal of 14442550410 is 1405524441.

14442550410 is digitally balanced in base 5, 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 (30).

It is not an unprimeable number, because it can be changed into a prime (14442550411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2558371 + ... + 2564009.

It is an arithmetic number, because the mean of its divisors is an integer number (551253600).

Almost surely, 214442550410 is an apocalyptic number.

14442550410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442550410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640115200).

14442550410 is an abundant number, since it is smaller than the sum of its proper divisors (20837679990).

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

14442550410 is a wasteful number, since it uses less digits than its factorization.

14442550410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155.

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 14442550410 in words is "fourteen billion, four hundred forty-two million, five hundred fifty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1447 1770 2894 4341 5639 7235 8682 11278 14470 16917 21705 28195 33834 43410 56390 84585 85373 169170 170746 256119 332701 426865 512238 665402 853730 998103 1280595 1663505 1996206 2561190 3327010 4990515 8159633 9981030 16319266 24478899 40798165 48957798 81596330 122394495 244788990 481418347 962836694 1444255041 2407091735 2888510082 4814183470 7221275205 14442550410