Search a number
-
+
13044241322240 = 28519536358607
BaseRepresentation
bin1011110111010001100101…
…0111101101000100000000
31201012000110121100120002212
42331310121113231010000
53202204101234302430
643424235225401252
72514262313546222
oct275643127550400
951160417316085
1013044241322240
11417a039188a27
12156808a039228
137380b3653cbb
143314b7a04412
1517949d6b1b95
hexbdd195ed100

13044241322240 has 72 divisors (see below), whose sum is σ = 32889509842560. Its totient is φ = 4943080912896.

The previous prime is 13044241322213. The next prime is 13044241322267. The reversal of 13044241322240 is 4222314244031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13044241322213) and next prime (13044241322267).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13044241322197 and 13044241322206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268154984 + ... + 268203623.

Almost surely, 213044241322240 is an apocalyptic number.

13044241322240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044241322240 is an abundant number, since it is smaller than the sum of its proper divisors (19845268520320).

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

13044241322240 is an equidigital number, since it uses as much as digits as its factorization.

13044241322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536358647 (or 536358633 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13044241322240 its reverse (4222314244031), we get a palindrome (17266555566271).

The spelling of 13044241322240 in words is "thirteen trillion, forty-four billion, two hundred forty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 536358607 1072717214 2145434428 2681793035 4290868856 5363586070 8581737712 10190813533 10727172140 17163475424 20381627066 21454344280 34326950848 40763254132 42908688560 50954067665 68653901696 81526508264 85817377120 101908135330 137307803392 163053016528 171634754240 203816270660 326106033056 343269508480 407632541320 652212066112 686539016960 815265082640 1304424132224 1630530165280 2608848264448 3261060330560 6522120661120 13044241322240