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352204241524240 = 24572170215278657
BaseRepresentation
bin101000000010100111111000…
…0101101000101011000010000
31201012001101201011102010212211
41100011033300231011120100
5332131003241312233430
63245024221143201504
7134120626303061200
oct12005176055053020
91635041634363784
10352204241524240
11a224aa86438526
123360365ba46294
131216a943365581
1462d8ac2036400
152aab991ea372a
hex14053f0b45610

352204241524240 has 120 divisors (see below), whose sum is σ = 952624861278552. Its totient is φ = 120748622561280.

The previous prime is 352204241524139. The next prime is 352204241524241. The reversal of 352204241524240 is 42425142402253.

It can be written as a sum of positive squares in 4 ways, for example, as 220947533404416 + 131256708119824 = 14864304^2 + 11456732^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 352204241524193 and 352204241524202.

It is not an unprimeable number, because it can be changed into a prime (352204241524241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64082992 + ... + 69361648.

Almost surely, 2352204241524240 is an apocalyptic number.

It is an amenable number.

352204241524240 is an abundant number, since it is smaller than the sum of its proper divisors (600420619754312).

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

352204241524240 is a wasteful number, since it uses less digits than its factorization.

352204241524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295705 (or 5295692 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 352204241524240 its reverse (42425142402253), we get a palindrome (394629383926493).

The spelling of 352204241524240 in words is "three hundred fifty-two trillion, two hundred four billion, two hundred forty-one million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 17021 34042 68084 85105 119147 136168 170210 238294 272336 340420 476588 595735 680840 834029 953176 1191470 1361680 1668058 1906352 2382940 3336116 4170145 4765880 5278657 6672232 8340290 9531760 10557314 13344464 16680580 21114628 26393285 33361160 36950599 42229256 52786570 66722320 73901198 84458512 105573140 147802396 184752995 211146280 258654193 295604792 369505990 422292560 517308386 591209584 739011980 1034616772 1293270965 1478023960 2069233544 2586541930 2956047920 4138467088 5173083860 10346167720 20692335440 89848020797 179696041594 359392083188 449240103985 628936145579 718784166376 898480207970 1257872291158 1437568332752 1796960415940 2515744582316 3144680727895 3593920831880 4402553019053 5031489164632 6289361455790 7187841663760 8805106038106 10062978329264 12578722911580 17610212076212 22012765095265 25157445823160 35220424152424 44025530190530 50314891646320 70440848304848 88051060381060 176102120762120 352204241524240