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254431444134452 = 221310148799475723
BaseRepresentation
bin111001110110011101101111…
…110110001110101000110100
31020100212102000210201221001112
4321312131233312032220310
5231322101044144300302
62301044105234014152
7104410031241502334
oct7166355766165064
91210772023657045
10254431444134452
1174084851221a82
1224652627a17358
13abc7a22742b20
1446b87948990c4
151e6352bd8d552
hexe7676fd8ea34

254431444134452 has 48 divisors (see below), whose sum is σ = 485247356506752. Its totient is φ = 116028482140800.

The previous prime is 254431444134433. The next prime is 254431444134503.

It is a happy number.

254431444134452 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 254431444134452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47180138 + ... + 52295585.

It is an arithmetic number, because the mean of its divisors is an integer number (10109319927224).

Almost surely, 2254431444134452 is an apocalyptic number.

It is an amenable number.

254431444134452 is a deficient number, since it is larger than the sum of its proper divisors (230815912372300).

254431444134452 is a wasteful number, since it uses less digits than its factorization.

254431444134452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99476328 (or 99476326 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 254431444134452 in words is "two hundred fifty-four trillion, four hundred thirty-one billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 13 26 52 101 202 404 487 974 1313 1948 2626 5252 6331 12662 25324 49187 98374 196748 639431 1278862 2557724 99475723 198951446 397902892 1293184399 2586368798 5172737596 10047048023 20094096046 40188192092 48444677101 96889354202 130611624299 193778708404 261223248598 522446497196 629780802313 1259561604626 2519123209252 4892912387201 9785824774402 19571649548804 63607861033613 127215722067226 254431444134452