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11241132443024 = 24112937434913687
BaseRepresentation
bin1010001110010100011110…
…1101001100010110010000
31110210122022211212222002112
42203211013231030112100
52433133314401134044
635524034400404452
72240100512136311
oct243450755142620
943718284788075
1011241132443024
113644379232380
121316734616728
1363705a2c53c3
142ac1063aa608
1514761ac5909e
hexa3947b4c590

11241132443024 has 160 divisors (see below), whose sum is σ = 25250910624000. Its totient is φ = 4798622545920.

The previous prime is 11241132442979. The next prime is 11241132443077. The reversal of 11241132443024 is 42034423114211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821293109 + ... + 821306795.

It is an arithmetic number, because the mean of its divisors is an integer number (157818191400).

Almost surely, 211241132443024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241132443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625455312000).

11241132443024 is an abundant number, since it is smaller than the sum of its proper divisors (14009778180976).

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

11241132443024 is a wasteful number, since it uses less digits than its factorization.

11241132443024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18121 (or 18115 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 11241132443024 its reverse (42034423114211), we get a palindrome (53275555557235).

The spelling of 11241132443024 in words is "eleven trillion, two hundred forty-one billion, one hundred thirty-two million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 29 37 44 58 74 88 116 148 176 232 296 319 407 464 592 638 814 1073 1276 1628 2146 2552 3256 4292 4349 5104 6512 8584 8698 11803 13687 17168 17396 23606 27374 34792 47212 47839 54748 69584 94424 95678 109496 126121 150557 160913 188848 191356 218992 252242 301114 321826 382712 396923 504484 506419 602228 643652 765424 793846 1008968 1012838 1204456 1287304 1387331 1587692 1770043 2017936 2025676 2408912 2574608 2774662 3175384 3540086 4051352 4366153 4666477 5549324 5570609 6350768 7080172 8102704 8732306 9332954 11098648 11141218 14160344 14686151 17464612 18665908 22197296 22282436 28320688 29372302 34929224 37331816 44564872 51331247 58744604 59524763 69858448 74663632 89129744 102662494 117489208 119049526 161547661 205324988 234978416 238099052 323095322 410649976 476198104 646190644 654772393 821299952 952396208 1292381288 1309544786 1726218127 2202416231 2584762576 2619089572 3452436254 4404832462 5238179144 6904872508 8809664924 10476358288 13809745016 17619329848 18988399397 24226578541 27619490032 35238659696 37976798794 48453157082 63870070699 75953597588 96906314164 127740141398 151907195176 193812628328 255480282796 303814390352 387625256656 510960565592 702570777689 1021921131184 1405141555378 2810283110756 5620566221512 11241132443024