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114543113350401 = 32194116337628491
BaseRepresentation
bin11010000010110100100101…
…100101010010110100000001
3120000120012210111211022122100
4122002310211211102310001
5110003133244004203101
61043340214013501013
733061316062033431
oct3202644545226401
9500505714738570
10114543113350401
113355150939855a
1210a1b280aa1769
134bbb4a52baa88
14203dcb83422c1
15d397e12bbe86
hex682d25952d01

114543113350401 has 24 divisors (see below), whose sum is σ = 178406903132640. Its totient is φ = 70578555076800.

The previous prime is 114543113350333. The next prime is 114543113350423. The reversal of 114543113350401 is 104053311345411.

It is a happy number.

114543113350401 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 311 + 335 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 114543113350401 - 27 = 114543113350273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114543113350901) 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 23 ways as a sum of consecutive naturals, for example, 8168807235 + ... + 8168821256.

It is an arithmetic number, because the mean of its divisors is an integer number (7433620963860).

Almost surely, 2114543113350401 is an apocalyptic number.

It is an amenable number.

114543113350401 is a deficient number, since it is larger than the sum of its proper divisors (63863789782239).

114543113350401 is a wasteful number, since it uses less digits than its factorization.

114543113350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337628557 (or 16337628554 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 114543113350401 its reverse (104053311345411), we get a palindrome (218596424695812).

The spelling of 114543113350401 in words is "one hundred fourteen trillion, five hundred forty-three billion, one hundred thirteen million, three hundred fifty thousand, four hundred one".

Divisors: 1 3 9 19 41 57 123 171 369 779 2337 7011 16337628491 49012885473 147038656419 310414941329 669842768131 931244823987 2009528304393 2793734471961 6028584913179 12727012594489 38181037783467 114543113350401