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14342324305144 = 23118271867105557
BaseRepresentation
bin1101000010110101010100…
…1001010011110011111000
31212210010001020111110020211
43100231111021103303320
53334441040010231034
650300434533000504
73010125111054523
oct320552511236370
955703036443224
1014342324305144
11462a600191870
12173777b483134
1380062453a0a4
1437825a735bba
1519d124166d64
hexd0b55253cf8

14342324305144 has 64 divisors (see below), whose sum is σ = 29388056549760. Its totient is φ = 6507806067840.

The previous prime is 14342324305139. The next prime is 14342324305147. The reversal of 14342324305144 is 44150342324341.

14342324305144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14342324305097 and 14342324305106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342324305147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135820014 + ... + 135925570.

It is an arithmetic number, because the mean of its divisors is an integer number (459188383590).

Almost surely, 214342324305144 is an apocalyptic number.

It is an amenable number.

14342324305144 is an abundant number, since it is smaller than the sum of its proper divisors (15045732244616).

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

14342324305144 is a wasteful number, since it uses less digits than its factorization.

14342324305144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108268 (or 108264 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 14342324305144 its reverse (44150342324341), we get a palindrome (58492666629485).

The spelling of 14342324305144 in words is "fourteen trillion, three hundred forty-two billion, three hundred twenty-four million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 827 1654 1867 3308 3734 6616 7468 9097 14936 18194 20537 36388 41074 72776 82148 105557 164296 211114 422228 844456 1161127 1544009 2322254 3088018 4644508 6176036 9289016 12352072 16984099 33968198 67936396 87295639 135872792 174591278 197074919 349182556 394149838 698365112 788299676 960252029 1576599352 1920504058 2167824109 3841008116 4335648218 7682016232 8671296436 17342592872 162980958013 325961916026 651923832052 1303847664104 1792790538143 3585581076286 7171162152572 14342324305144