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4100040549 = 3211411636197
BaseRepresentation
bin1111010001100001…
…1010011101100101
3101120201221122021200
43310120122131211
531344102244144
61514502033113
7203413524663
oct36430323545
911521848250
104100040549
111814403170
12965118799
1350457a7c7
142ac755c33
1518ee36c69
hexf461a765

4100040549 has 48 divisors (see below), whose sum is σ = 6659924544. Its totient is φ = 2409004800.

The previous prime is 4100040509. The next prime is 4100040551. The reversal of 4100040549 is 9450400014.

It is not a de Polignac number, because 4100040549 - 212 = 4100036453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100040509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658519 + ... + 664715.

It is an arithmetic number, because the mean of its divisors is an integer number (138748428).

Almost surely, 24100040549 is an apocalyptic number.

It is an amenable number.

4100040549 is a deficient number, since it is larger than the sum of its proper divisors (2559883995).

4100040549 is a wasteful number, since it uses less digits than its factorization.

4100040549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4100040549 is about 64031.5590080392. The cubic root of 4100040549 is about 1600.5259402489.

The spelling of 4100040549 in words is "four billion, one hundred million, forty thousand, five hundred forty-nine".

Divisors: 1 3 9 11 33 41 99 123 163 369 451 489 1353 1467 1793 4059 5379 6197 6683 16137 18591 20049 55773 60147 68167 73513 204501 220539 254077 613503 661617 762231 1010111 2286693 2794847 3030333 8384541 9090999 11111221 25153623 33333663 41414551 100000989 124243653 372730959 455560061 1366680183 4100040549