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254133505142231 = 111313399132633583
BaseRepresentation
bin111001110010001000010001…
…010011001010110111010111
31020022210220222220221221110212
4321302020101103022313113
5231302210404304022411
62300255153123240035
7104346353111034011
oct7162102123126727
91208726886857425
10254133505142231
1173a7a4614513a0
122460493881901b
13aba58c08cc160
1446a81ad3731b1
151e5a8e05e368b
hexe722114cadd7

254133505142231 has 16 divisors (see below), whose sum is σ = 298584724300800. Its totient is φ = 213242967796320.

The previous prime is 254133505142227. The next prime is 254133505142269. The reversal of 254133505142231 is 132241505331452.

254133505142231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254133505142231 - 22 = 254133505142227 is a prime.

It is a super-3 number, since 3×2541335051422313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254133505144231) 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, 64400735 + ... + 68232848.

It is an arithmetic number, because the mean of its divisors is an integer number (18661545268800).

Almost surely, 2254133505142231 is an apocalyptic number.

254133505142231 is a deficient number, since it is larger than the sum of its proper divisors (44451219158569).

254133505142231 is a wasteful number, since it uses less digits than its factorization.

254133505142231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132647006.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 254133505142231 in words is "two hundred fifty-four trillion, one hundred thirty-three billion, five hundred five million, one hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 11 13 143 13399 147389 174187 1916057 132633583 1458969413 1724236579 18966602369 1777157378617 19548731164787 23103045922021 254133505142231