Search a number
-
+
424424132013 = 372329111727127
BaseRepresentation
bin1100010110100011010…
…01100100110110101101
31111120111211212211102210
412023101221210312231
523423210034211023
6522551110041033
742443424411660
oct6132151446655
91446454784383
10424424132013
11153aa73a3272
126a30a949179
133103b77806b
1416783c856d7
15b090c68593
hex62d1a64dad

424424132013 has 64 divisors (see below), whose sum is σ = 698782556160. Its totient is φ = 223775177472.

The previous prime is 424424131969. The next prime is 424424132039. The reversal of 424424132013 is 310231424424.

It is not a de Polignac number, because 424424132013 - 212 = 424424127917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424424132213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15632256 + ... + 15659382.

It is an arithmetic number, because the mean of its divisors is an integer number (10918477440).

Almost surely, 2424424132013 is an apocalyptic number.

It is an amenable number.

424424132013 is a deficient number, since it is larger than the sum of its proper divisors (274358424147).

424424132013 is a wasteful number, since it uses less digits than its factorization.

424424132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28306.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 424424132013 its reverse (310231424424), we get a palindrome (734655556437).

The spelling of 424424132013 in words is "four hundred twenty-four billion, four hundred twenty-four million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 21 23 29 69 87 161 203 483 609 667 1117 2001 3351 4669 7819 14007 23457 25691 27127 32393 77073 81381 97179 179837 189889 226751 539511 569667 623921 680253 745039 786683 1871763 2235117 2360049 4367447 5215273 5506781 13102341 15645819 16520343 18093709 30300859 54281127 90902577 126655963 212106013 379967889 636318039 696919757 878724911 2090759271 2636174733 4878438299 6151074377 14635314897 18453223131 20210672953 60632018859 141474710671 424424132013