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41141341200 = 2435247897159
BaseRepresentation
bin100110010100001101…
…110000110000010000
310221012012200200021210
4212110031300300100
51133224140404300
630522225420120
72654343426111
oct462415606020
9127165620253
1041141341200
11164a223a633
127b8219a640
133b5867939b
141dc3dcc208
15110bcd7050
hex994370c10

41141341200 has 120 divisors (see below), whose sum is σ = 131835361600. Its totient is φ = 10967201280.

The previous prime is 41141341183. The next prime is 41141341201. The reversal of 41141341200 is 214314114.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (41141341201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5743221 + ... + 5750379.

Almost surely, 241141341200 is an apocalyptic number.

41141341200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41141341200 is an abundant number, since it is smaller than the sum of its proper divisors (90694020400).

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

41141341200 is a wasteful number, since it uses less digits than its factorization.

41141341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11969 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41141341200 its reverse (214314114), we get a palindrome (41355655314).

The spelling of 41141341200 in words is "forty-one billion, one hundred forty-one million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4789 7159 9578 14318 14367 19156 21477 23945 28636 28734 35795 38312 42954 47890 57272 57468 71590 71835 76624 85908 95780 107385 114544 114936 119725 143180 143670 171816 178975 191560 214770 229872 239450 286360 287340 343632 357950 359175 383120 429540 478900 536925 572720 574680 715900 718350 859080 957800 1073850 1149360 1431800 1436700 1718160 1915600 2147700 2863600 2873400 4295400 5746800 8590800 34284451 68568902 102853353 137137804 171422255 205706706 274275608 342844510 411413412 514266765 548551216 685689020 822826824 857111275 1028533530 1371378040 1645653648 1714222550 2057067060 2571333825 2742756080 3428445100 4114134120 5142667650 6856890200 8228268240 10285335300 13713780400 20570670600 41141341200