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14005130544 = 2432296154979
BaseRepresentation
bin11010000101100010…
…10101010100110000
31100011001010100100200
431002301111110300
5212140303134134
610233414315200
71004026434246
oct150261252460
940131110320
1014005130544
115a37592959
12286a358b00
1314226b71c2
1496c050796
1556e7e8499
hex342c55530

14005130544 has 120 divisors (see below), whose sum is σ = 41211908400. Its totient is φ = 4433425920.

The previous prime is 14005130543. The next prime is 14005130549. The reversal of 14005130544 is 44503150041.

It is a happy number.

14005130544 is a `hidden beast` number, since 1 + 40 + 0 + 51 + 30 + 544 = 666.

It is a super-2 number, since 2×140051305442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14005130543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227247 + ... + 282225.

It is an arithmetic number, because the mean of its divisors is an integer number (343432570).

Almost surely, 214005130544 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 14005130544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20605954200).

14005130544 is an abundant number, since it is smaller than the sum of its proper divisors (27206777856).

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

14005130544 is a wasteful number, since it uses less digits than its factorization.

14005130544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55083 (or 55074 counting only the distinct ones).

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

Adding to 14005130544 its reverse (44503150041), we get a palindrome (58508280585).

The spelling of 14005130544 in words is "fourteen billion, five million, one hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 232 244 261 348 366 464 488 522 549 696 732 976 1044 1098 1392 1464 1769 2088 2196 2928 3538 4176 4392 5307 7076 8784 10614 14152 15921 21228 28304 31842 42456 54979 63684 84912 109958 127368 164937 219916 254736 329874 439832 494811 659748 879664 989622 1319496 1594391 1979244 2638992 3188782 3353719 3958488 4783173 6377564 6707438 7916976 9566346 10061157 12755128 13414876 14349519 19132692 20122314 25510256 26829752 28699038 30183471 38265384 40244628 53659504 57398076 60366942 76530768 80489256 97257851 114796152 120733884 160978512 194515702 229592304 241467768 291773553 389031404 482935536 583547106 778062808 875320659 1167094212 1556125616 1750641318 2334188424 3501282636 4668376848 7002565272 14005130544