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1144024012304 = 242347154942701
BaseRepresentation
bin10000101001011101001…
…001010001011000010000
311001100221000000022100222
4100221131021101120100
5122220430121343204
62233320220532212
7145436660441435
oct20513511213020
94040830008328
101144024012304
114011a5804038
121658773b1068
1383b5b7389b4
143d52a279b8c
151eb5a8a2abe
hex10a5d251610

1144024012304 has 80 divisors (see below), whose sum is σ = 2363709427200. Its totient is φ = 535142361600.

The previous prime is 1144024012301. The next prime is 1144024012309. The reversal of 1144024012304 is 4032104204411.

It is not an unprimeable number, because it can be changed into a prime (1144024012301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26770154 + ... + 26812854.

It is an arithmetic number, because the mean of its divisors is an integer number (29546367840).

Almost surely, 21144024012304 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 1144024012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181854713600).

1144024012304 is an abundant number, since it is smaller than the sum of its proper divisors (1219685414896).

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

1144024012304 is a wasteful number, since it uses less digits than its factorization.

1144024012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44328 (or 44322 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1144024012304 its reverse (4032104204411), we get a palindrome (5176128216715).

The spelling of 1144024012304 in words is "one trillion, one hundred forty-four billion, twenty-four million, twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 1549 2162 3098 4324 6196 8648 12392 17296 24784 35627 42701 71254 72803 85402 142508 145606 170804 285016 291212 341608 570032 582424 683216 982123 1164848 1674469 1964246 2006947 3348938 3928492 4013894 6697876 7856984 8027788 13395752 15713968 16055576 26791504 32111152 46159781 66143849 92319562 132287698 184639124 264575396 369278248 529150792 738556496 1058301584 1521308527 3042617054 3108760903 6085234108 6217521806 12170468216 12435043612 24340936432 24870087224 49740174448 71501500769 143003001538 286006003076 572012006152 1144024012304