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5144041242 = 23647271277
BaseRepresentation
bin1001100101001101…
…11101011100011010
3111021111102101000000
410302212331130122
541013333304432
62210234353430
7241321425534
oct46246753432
914244371000
105144041242
1121aa74a35a
12bb688b876
1363c9524b2
1436b278854
1520190a57c
hex1329bd71a

5144041242 has 112 divisors (see below), whose sum is σ = 11901353472. Its totient is φ = 1665969120.

The previous prime is 5144041219. The next prime is 5144041277. The reversal of 5144041242 is 2421404415.

5144041242 is a `hidden beast` number, since 5 + 14 + 404 + 1 + 242 = 666.

It is a super-2 number, since 2×51440412422 = 52922320598793805128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18570408 + ... + 18570684.

Almost surely, 25144041242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5144041242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950676736).

5144041242 is an abundant number, since it is smaller than the sum of its proper divisors (6757312230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5144041242 is a wasteful number, since it uses less digits than its factorization.

5144041242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5144041242 is about 71721.9718217507. The cubic root of 5144041242 is about 1726.2412117844.

Adding to 5144041242 its reverse (2421404415), we get a palindrome (7565445657).

The spelling of 5144041242 in words is "five billion, one hundred forty-four million, forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 271 277 282 423 486 542 554 729 813 831 846 1269 1458 1626 1662 2439 2493 2538 3807 4878 4986 7317 7479 7614 11421 12737 13019 14634 14958 21951 22437 22842 25474 26038 34263 38211 39057 43902 44874 65853 67311 68526 75067 76422 78114 114633 117171 131706 134622 150134 197559 201933 225201 229266 234342 343899 351513 395118 403866 450402 675603 687798 703026 1031697 1054539 1351206 2026809 2063394 2109078 3095091 3163617 3528149 4053618 6080427 6190182 6327234 7056298 9285273 9490851 10584447 12160854 18241281 18570546 18981702 21168894 31753341 36482562 54723843 63506682 95260023 109447686 190520046 285780069 571560138 857340207 1714680414 2572020621 5144041242