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12355344240 = 2435232238287
BaseRepresentation
bin10111000000110111…
…11001011101110000
31011220001202112000020
423200123321131300
5200300432003430
65402001523440
7615114456531
oct134033713560
934801675006
1012355344240
1152702a6aa8
122489943580
13121b96c3a5
14852cba688
154c4a62b10
hex2e06f9770

12355344240 has 80 divisors (see below), whose sum is σ = 39966870528. Its totient is φ = 3151506688.

The previous prime is 12355344233. The next prime is 12355344257. The reversal of 12355344240 is 4244355321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1113624 + ... + 1124663.

Almost surely, 212355344240 is an apocalyptic number.

12355344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355344240 is an abundant number, since it is smaller than the sum of its proper divisors (27611526288).

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

12355344240 is a wasteful number, since it uses less digits than its factorization.

12355344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238326 (or 2238320 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 12355344240 its reverse (4244355321), we get a palindrome (16599699561).

The spelling of 12355344240 in words is "twelve billion, three hundred fifty-five million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 2238287 4476574 6714861 8953148 11191435 13429722 17906296 22382870 26859444 33574305 35812592 44765740 51480601 53718888 67148610 89531480 102961202 107437776 134297220 154441803 179062960 205922404 257403005 268594440 308883606 411844808 514806010 537188880 617767212 772209015 823689616 1029612020 1235534424 1544418030 2059224040 2471068848 3088836060 4118448080 6177672120 12355344240