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14144354250544 = 247659191637143
BaseRepresentation
bin1100110111010011110100…
…1101011110111100110000
31212002012001100220200100101
43031310331031132330300
53323220114142004134
650025454315402144
72656616166262630
oct315647515367460
955065040820311
1014144354250544
1145636502606a1
12170532b753354
137b7a6494b44b
1436c83a0a66c0
15197dd901ce14
hexcdd3d35ef30

14144354250544 has 40 divisors (see below), whose sum is σ = 31367167729920. Its totient is φ = 6052667492928.

The previous prime is 14144354250517. The next prime is 14144354250547. The reversal of 14144354250544 is 44505245344141.

It is a junction number, because it is equal to n+sod(n) for n = 14144354250494 and 14144354250503.

It is not an unprimeable number, because it can be changed into a prime (14144354250547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95744764 + ... + 95892379.

It is an arithmetic number, because the mean of its divisors is an integer number (784179193248).

Almost surely, 214144354250544 is an apocalyptic number.

14144354250544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14144354250544 is an abundant number, since it is smaller than the sum of its proper divisors (17222813479376).

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

14144354250544 is a wasteful number, since it uses less digits than its factorization.

14144354250544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191637817 (or 191637811 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 46.

Adding to 14144354250544 its reverse (44505245344141), we get a palindrome (58649599594685).

The spelling of 14144354250544 in words is "fourteen trillion, one hundred forty-four billion, three hundred fifty-four million, two hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 659 1318 2636 4613 5272 9226 10544 18452 36904 73808 191637143 383274286 766548572 1341460001 1533097144 2682920002 3066194288 5365840004 10731680008 21463360016 126288877237 252577754474 505155508948 884022140659 1010311017896 1768044281318 2020622035792 3536088562636 7072177125272 14144354250544