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12411342240 = 2535112350633
BaseRepresentation
bin10111000111100011…
…00000110110100000
31012000222010111211020
423203301200312200
5200404300422430
65411322045440
7616364445153
oct134361406640
935028114736
1012411342240
115299974140
1224a4649880
13122a4478bb
1485a4d5c9a
154c9924b10
hex2e3c60da0

12411342240 has 96 divisors (see below), whose sum is σ = 42649903296. Its totient is φ = 3008808960.

The previous prime is 12411342233. The next prime is 12411342287. The reversal of 12411342240 is 4224311421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12411342240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170037 + ... + 1180596.

It is an arithmetic number, because the mean of its divisors is an integer number (444269826).

Almost surely, 212411342240 is an apocalyptic number.

12411342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12411342240 is an abundant number, since it is smaller than the sum of its proper divisors (30238561056).

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

12411342240 is a wasteful number, since it uses less digits than its factorization.

12411342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350662 (or 2350654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12411342240 its reverse (4224311421), we get a palindrome (16635653661).

The spelling of 12411342240 in words is "twelve billion, four hundred eleven million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2350633 4701266 7051899 9402532 11753165 14103798 18805064 23506330 25856963 28207596 35259495 37610128 47012660 51713926 56415192 70518990 75220256 77570889 94025320 103427852 112830384 129284815 141037980 155141778 188050640 206855704 225660768 258569630 282075960 310283556 376101280 387854445 413711408 517139260 564151920 620567112 775708890 827422816 1034278520 1128303840 1241134224 1551417780 2068557040 2482268448 3102835560 4137114080 6205671120 12411342240