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416244054324 = 2237172713107441
BaseRepresentation
bin1100000111010100001…
…01000011100100110100
31110210101202121211101110
412003222011003210310
523304431434214244
6515115254355020
742033626040660
oct6035205034464
91423352554343
10416244054324
11150589a0a88a
126880735ba70
1330336b348c7
14162097038a0
15ac62a4b9b9
hex60ea143934

416244054324 has 96 divisors (see below), whose sum is σ = 1175721474816. Its totient is φ = 111888875520.

The previous prime is 416244054313. The next prime is 416244054367. The reversal of 416244054324 is 423450442614.

It is a super-2 number, since 2×4162440543242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 3820444 + ... + 3927884.

It is an arithmetic number, because the mean of its divisors is an integer number (12247098696).

Almost surely, 2416244054324 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 416244054324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587860737408).

416244054324 is an abundant number, since it is smaller than the sum of its proper divisors (759477420492).

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

416244054324 is a wasteful number, since it uses less digits than its factorization.

416244054324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110185 (or 110183 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 416244054324 its reverse (423450442614), we get a palindrome (839694496938).

The spelling of 416244054324 in words is "four hundred sixteen billion, two hundred forty-four million, fifty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2713 5426 8139 10852 16278 18991 32556 37982 46121 56973 75964 92242 107441 113946 138363 184484 214882 227892 276726 322323 322847 429764 553452 644646 645694 752087 968541 1289292 1291388 1504174 1826497 1937082 2256261 3008348 3652994 3874164 4512522 5479491 7305988 9025044 10958982 12785479 21917964 25570958 38356437 51141916 76712874 153425748 291487433 582974866 874462299 1165949732 1748924598 2040412031 3497849196 4080824062 4955286361 6121236093 8161648124 9910572722 12242472186 14865859083 19821145444 24484944372 29731718166 34687004527 59463436332 69374009054 104061013581 138748018108 208122027162 416244054324