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114046145454141 = 3298979712802417
BaseRepresentation
bin11001111011100101101111…
…111111001110000000111101
3112221210201000222001102210100
4121323211233333032000331
5104422013001214013031
61042320024223031313
733010363541436465
oct3173455777160075
9487721028042710
10114046145454141
113337a775a2851a
121095aaa743b539
134b836753b4c34
142023c11ac0ba5
15d2b90696ede6
hex67b96ffce03d

114046145454141 has 12 divisors (see below), whose sum is σ = 164733500510332. Its totient is φ = 76030680882816.

The previous prime is 114046145454139. The next prime is 114046145454181. The reversal of 114046145454141 is 141454541640411.

114046145454141 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 6 + 1 + 454 + 54 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85761564648516 + 28284580805625 = 9260754^2 + 5318325^2 .

It is not a de Polignac number, because 114046145454141 - 21 = 114046145454139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114046145454181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506965 + ... + 15309381.

Almost surely, 2114046145454141 is an apocalyptic number.

It is an amenable number.

114046145454141 is a deficient number, since it is larger than the sum of its proper divisors (50687355056191).

114046145454141 is a wasteful number, since it uses less digits than its factorization.

114046145454141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792220 (or 13792217 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 114046145454141 in words is "one hundred fourteen trillion, forty-six billion, one hundred forty-five million, four hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 9 989797 2969391 8908173 12802417 38407251 115221753 12671793939349 38015381818047 114046145454141