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11441541412050 = 235253245759419
BaseRepresentation
bin1010011001111111000100…
…0000101111010011010010
31111111210121200201102121220
42212133301000233103102
52444424234100141200
640200101020225510
72260424030231661
oct246376100572322
944453550642556
1011441541412050
11371136a935002
12134954509b296
1364cc18276389
142b7ab8908dd8
1514c94a0644a0
hexa67f102f4d2

11441541412050 has 144 divisors (see below), whose sum is σ = 28984273116960. Its totient is φ = 2986909585920.

The previous prime is 11441541412027. The next prime is 11441541412051. The reversal of 11441541412050 is 5021414514411.

11441541412050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11441541412051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192527241 + ... + 192586659.

Almost surely, 211441541412050 is an apocalyptic number.

11441541412050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441541412050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492136558480).

11441541412050 is an abundant number, since it is smaller than the sum of its proper divisors (17542731704910).

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

11441541412050 is a wasteful number, since it uses less digits than its factorization.

11441541412050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59997 (or 59939 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

Adding to 11441541412050 its reverse (5021414514411), we get a palindrome (16462955926461).

The spelling of 11441541412050 in words is "eleven trillion, four hundred forty-one billion, five hundred forty-one million, four hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 457 530 795 914 1325 1371 1590 2285 2650 2742 2809 3975 4570 5618 6855 7950 8427 11425 13710 14045 16854 22850 24221 28090 34275 42135 48442 59419 68550 70225 72663 84270 118838 121105 140450 145326 178257 210675 242210 297095 356514 363315 421350 594190 605525 726630 891285 1211050 1283713 1485475 1782570 1816575 2567426 2970950 3149207 3633150 3851139 4456425 6298414 6418565 7702278 8912850 9447621 12837130 15746035 18895242 19255695 27154483 31492070 32092825 38511390 47238105 54308966 64185650 78730175 81463449 94476210 96278475 135772415 157460350 162926898 166907971 192556950 236190525 271544830 333815942 407317245 472381050 500723913 678862075 814634490 834539855 1001447826 1357724150 1439187599 1669079710 2036586225 2503619565 2878375198 4073172450 4172699275 4317562797 5007239130 7195937995 8345398550 8635125594 12518097825 14391875990 21587813985 25036195650 35979689975 43175627970 71959379950 76276942747 107939069925 152553885494 215878139850 228830828241 381384713735 457661656482 762769427470 1144154141205 1906923568675 2288308282410 3813847137350 5720770706025 11441541412050