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32113341414 = 23271149147189
BaseRepresentation
bin11101111010000110…
…101011001111100110
310001220000220202210100
4131322012223033212
51011232003411124
622430324204530
72214540620040
oct357206531746
9101800822710
1032113341414
111268a164790
126282839746
13304a17468b
1417a8da8a90
15c7e4291c9
hex77a1ab3e6

32113341414 has 96 divisors (see below), whose sum is σ = 86926245120. Its totient is φ = 8323963200.

The previous prime is 32113341383. The next prime is 32113341419. The reversal of 32113341414 is 41414331123.

32113341414 is a `hidden beast` number, since 3 + 211 + 3 + 34 + 1 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113341419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656932 + ... + 704120.

It is an arithmetic number, because the mean of its divisors is an integer number (905481720).

Almost surely, 232113341414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113341414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43463122560).

32113341414 is an abundant number, since it is smaller than the sum of its proper divisors (54812903706).

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

32113341414 is a wasteful number, since it uses less digits than its factorization.

32113341414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47706 (or 47703 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 32113341414 its reverse (41414331123), we get a palindrome (73527672537).

The spelling of 32113341414 in words is "thirty-two billion, one hundred thirteen million, three hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 491 693 982 1386 1473 2946 3437 4419 5401 6874 8838 10311 10802 16203 20622 30933 32406 37807 47189 48609 61866 75614 94378 97218 113421 141567 226842 283134 330323 340263 424701 519079 660646 680526 849402 990969 1038158 1557237 1981938 2972907 3114474 3633553 4671711 5945814 7267106 9343422 10900659 21801318 23169799 32701977 46339598 65403954 69509397 139018794 162188593 208528191 254867789 324377186 417056382 486565779 509735578 764603367 973131558 1459697337 1529206734 1784074523 2293810101 2919394674 3568149046 4587620202 5352223569 10704447138 16056670707 32113341414