Search a number
-
+
13044000024 = 23331153103583
BaseRepresentation
bin11000010010111101…
…11010010100011000
31020200001120212011000
430021132322110120
5203203231000044
65554202105000
7641146112406
oct141136722430
936601525130
1013044000024
115593aa8310
1226404ab160
1312cb539113
148ba540476
15515243d69
hex3097ba518

13044000024 has 128 divisors (see below), whose sum is σ = 40273459200. Its totient is φ = 3878110080.

The previous prime is 13044000001. The next prime is 13044000037. The reversal of 13044000024 is 42000044031.

It is a super-2 number, since 2×130440000242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13043999970 and 13044000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74137 + ... + 177719.

It is an arithmetic number, because the mean of its divisors is an integer number (314636400).

Almost surely, 213044000024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20136729600).

13044000024 is an abundant number, since it is smaller than the sum of its proper divisors (27229459176).

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

13044000024 is a wasteful number, since it uses less digits than its factorization.

13044000024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103662 (or 103652 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13044000024 its reverse (42000044031), we get a palindrome (55044044055).

The spelling of 13044000024 in words is "thirteen billion, forty-four million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 88 99 106 108 132 159 198 212 216 264 297 318 396 424 477 583 594 636 792 954 1166 1188 1272 1431 1749 1908 2332 2376 2862 3498 3816 4664 5247 5724 6996 10494 11448 13992 15741 20988 31482 41976 62964 103583 125928 207166 310749 414332 621498 828664 932247 1139413 1242996 1864494 2278826 2485992 2796741 3418239 3728988 4557652 5489899 5593482 6836478 7457976 9115304 10254717 10979798 11186964 13672956 16469697 20509434 21959596 22373928 27345912 30764151 32939394 41018868 43919192 49409091 60388889 61528302 65878788 82037736 98818182 120777778 123056604 131757576 148227273 181166667 197636364 241555556 246113208 296454546 362333334 395272728 483111112 543500001 592909092 724666668 1087000002 1185818184 1449333336 1630500003 2174000004 3261000006 4348000008 6522000012 13044000024