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544413123441 = 321171167463787
BaseRepresentation
bin1111110110000011000…
…11010000001101110001
31221001020002100011000100
413323001203100031301
532404424224422231
61054033330343013
754222031124265
oct7730143201561
91831202304010
10544413123441
1119a9800194a0
1289616a2aa69
133c4515a9785
141c4c79640a5
15e264c971e6
hex7ec18d0371

544413123441 has 48 divisors (see below), whose sum is σ = 875156825088. Its totient is φ = 323351599200.

The previous prime is 544413123379. The next prime is 544413123479. The reversal of 544413123441 is 144321314445.

It is a happy number.

544413123441 is a `hidden beast` number, since 5 + 4 + 4 + 413 + 1 + 234 + 4 + 1 = 666.

It is not a de Polignac number, because 544413123441 - 210 = 544413122417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544413123396 and 544413123405.

It is not an unprimeable number, because it can be changed into a prime (544413123641) 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 47 ways as a sum of consecutive naturals, for example, 941950 + ... + 1405736.

It is an arithmetic number, because the mean of its divisors is an integer number (18232433856).

Almost surely, 2544413123441 is an apocalyptic number.

It is an amenable number.

544413123441 is a deficient number, since it is larger than the sum of its proper divisors (330743701647).

544413123441 is a wasteful number, since it uses less digits than its factorization.

544413123441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464042 (or 464039 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 544413123441 its reverse (144321314445), we get a palindrome (688734437886).

The spelling of 544413123441 in words is "five hundred forty-four billion, four hundred thirteen million, one hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 71 99 167 213 501 639 781 1503 1837 2343 5511 7029 11857 16533 35571 106713 130427 391281 463787 1173843 1391361 4174083 5101657 15304971 32928877 45914913 77452429 98786631 232357287 296359893 362217647 697071861 851976719 1086652941 2555930157 3259958823 5499122459 7667790471 16497367377 49492102131 60490347049 181471041147 544413123441