Search a number
-
+
13124412444105 = 3251973587941263
BaseRepresentation
bin1011111011111100001111…
…1100010000110111001001
31201110200101212110112011200
42332333003330100313021
53210012244041202410
643525134415014413
72523131114051334
oct276770374206711
951420355415150
1013124412444105
114200039743436
12157b72320a409
1374281c071951
143353213a561b
1517b5e1bd33c0
hexbefc3f10dc9

13124412444105 has 48 divisors (see below), whose sum is σ = 22865650030080. Its totient is φ = 6963792361344.

The previous prime is 13124412444097. The next prime is 13124412444109. The reversal of 13124412444105 is 50144421442131.

13124412444105 is a `hidden beast` number, since 13 + 124 + 412 + 4 + 4 + 4 + 105 = 666.

It is not a de Polignac number, because 13124412444105 - 23 = 13124412444097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13124412444105.

It is not an unprimeable number, because it can be changed into a prime (13124412444109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318046704 + ... + 318087966.

It is an arithmetic number, because the mean of its divisors is an integer number (476367708960).

Almost surely, 213124412444105 is an apocalyptic number.

13124412444105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13124412444105 is a deficient number, since it is larger than the sum of its proper divisors (9741237585975).

13124412444105 is a wasteful number, since it uses less digits than its factorization.

13124412444105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77350 (or 77347 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 13124412444105 its reverse (50144421442131), we get a palindrome (63268833886236).

The spelling of 13124412444105 in words is "thirteen trillion, one hundred twenty-four billion, four hundred twelve million, four hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 197 591 985 1773 2955 8865 35879 41263 107637 123789 179395 206315 322911 371367 538185 618945 1614555 1856835 7068163 8128811 21204489 24386433 35340815 40644055 63613467 73159299 106022445 121932165 318067335 365796495 1480475177 4441425531 7402375885 13324276593 22207127655 66621382965 291653609869 874960829607 1458268049345 2624882488821 4374804148035 13124412444105