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5144340105 = 335311279679
BaseRepresentation
bin1001100101010000…
…00110011010001001
3111021111222112222000
410302220012122021
541013422340410
62210245021213
7241324112052
oct46250063211
914244875860
105144340105
1121aa933953
12bb69b4809
1363ca28538
1436b315729
15201968dc0
hex132a06689

5144340105 has 64 divisors (see below), whose sum is σ = 9515827200. Its totient is φ = 2633964480.

The previous prime is 5144340101. The next prime is 5144340119. The reversal of 5144340105 is 5010434415.

It is a happy number.

5144340105 is a `hidden beast` number, since 514 + 4 + 3 + 40 + 105 = 666.

It is not a de Polignac number, because 5144340105 - 22 = 5144340101 is a prime.

It is a super-2 number, since 2×51443401052 = 52928470231822822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5144340101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526656 + ... + 536334.

It is an arithmetic number, because the mean of its divisors is an integer number (148684800).

Almost surely, 25144340105 is an apocalyptic number.

It is an amenable number.

5144340105 is a deficient number, since it is larger than the sum of its proper divisors (4371487095).

5144340105 is a wasteful number, since it uses less digits than its factorization.

5144340105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5144340105 is about 71724.0552743638. The cubic root of 5144340105 is about 1726.2746420268.

The spelling of 5144340105 in words is "five billion, one hundred forty-four million, three hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 31 45 93 127 135 155 279 381 465 635 837 1143 1395 1905 3429 3937 4185 5715 9679 11811 17145 19685 29037 35433 48395 59055 87111 106299 145185 177165 261333 300049 435555 531495 900147 1229233 1306665 1500245 2700441 3687699 4500735 6146165 8101323 11063097 13502205 18438495 33189291 38106223 40506615 55315485 114318669 165946455 190531115 342956007 571593345 1028868021 1714780035 5144340105