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12344004400 = 2452713339121
BaseRepresentation
bin10110111111100001…
…01000111100110000
31011212021102101200011
423133300220330300
5200240031120100
65400514504304
7614616210010
oct133760507460
934767371604
1012344004400
115264961232
122485b95094
1312194cba20
148515a7c40
154c3a72bba
hex2dfc28f30

12344004400 has 120 divisors (see below), whose sum is σ = 36500379104. Its totient is φ = 3906662400.

The previous prime is 12344004397. The next prime is 12344004451. The reversal of 12344004400 is 440044321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133161 + ... + 205960.

Almost surely, 212344004400 is an apocalyptic number.

12344004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344004400 is an abundant number, since it is smaller than the sum of its proper divisors (24156374704).

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

12344004400 is a wasteful number, since it uses less digits than its factorization.

12344004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339159 (or 339148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12344004400 its reverse (440044321), we get a palindrome (12784048721).

The spelling of 12344004400 in words is "twelve billion, three hundred forty-four million, four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 339121 678242 1356484 1695605 2373847 2712968 3391210 4408573 4747694 5425936 6782420 8478025 8817146 9495388 11869235 13564840 16956050 17634292 18990776 22042865 23738470 27129680 30860011 33912100 35268584 37981552 44085730 47476940 59346175 61720022 67824200 70537168 88171460 94953880 110214325 118692350 123440044 135648400 154300055 176342920 189907760 220428650 237384700 246880088 308600110 352685840 440857300 474769400 493760176 617200220 771500275 881714600 949538800 1234400440 1543000550 1763429200 2468800880 3086001100 6172002200 12344004400