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14354120441104 = 2419132329356819
BaseRepresentation
bin1101000011100001010000…
…1111111111110100010000
31212211020111100000020201021
43100320110033333310100
53340134214313103404
650310105241045224
73011023325421463
oct320702417776420
955736440006637
1014354120441104
114634603861364
121739b11a86814
138017843938b2
14378a592472da
1519d5b4a68454
hexd0e143ffd10

14354120441104 has 40 divisors (see below), whose sum is σ = 29275154172000. Its totient is φ = 6799249771776.

The previous prime is 14354120441071. The next prime is 14354120441113. The reversal of 14354120441104 is 40114402145341.

14354120441104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14354120441104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40049607 + ... + 40406425.

It is an arithmetic number, because the mean of its divisors is an integer number (731878854300).

Almost surely, 214354120441104 is an apocalyptic number.

It is an amenable number.

14354120441104 is an abundant number, since it is smaller than the sum of its proper divisors (14921033730896).

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

14354120441104 is a wasteful number, since it uses less digits than its factorization.

14354120441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489175 (or 489169 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 14354120441104 its reverse (40114402145341), we get a palindrome (54468522586445).

The spelling of 14354120441104 in words is "fourteen trillion, three hundred fifty-four billion, one hundred twenty million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 132329 264658 356819 529316 713638 1058632 1427276 2117264 2514251 2854552 5028502 5709104 6779561 10057004 13559122 20114008 27118244 40228016 54236488 108472976 47217501451 94435002902 188870005804 377740011608 755480023216 897132527569 1794265055138 3588530110276 7177060220552 14354120441104