Search a number
-
+
14382878436 = 22327383233283
BaseRepresentation
bin11010110010100100…
…10100111011100100
31101010100220221001100
431121102110323210
5213424004102221
610335111000100
71016264310123
oct153122247344
941110827040
1014382878436
11611083a4a3
122954969030
131482a37274
149a62a1aba
15592a63926
hex359494ee4

14382878436 has 144 divisors (see below), whose sum is σ = 37591235136. Its totient is φ = 4635159552.

The previous prime is 14382878401. The next prime is 14382878449. The reversal of 14382878436 is 63487828341.

14382878436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50822751 + ... + 50823033.

It is an arithmetic number, because the mean of its divisors is an integer number (261050244).

Almost surely, 214382878436 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 14382878436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795617568).

14382878436 is an abundant number, since it is smaller than the sum of its proper divisors (23208356700).

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

14382878436 is a wasteful number, since it uses less digits than its factorization.

14382878436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 677 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 14382878436 in words is "fourteen billion, three hundred eighty-two million, eight hundred seventy-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 233 249 283 292 332 438 466 498 566 657 699 747 849 876 932 996 1132 1314 1398 1494 1698 2097 2547 2628 2796 2988 3396 4194 5094 6059 8388 10188 12118 17009 18177 19339 20659 23489 24236 34018 36354 38678 41318 46978 51027 54531 58017 61977 65939 68036 70467 72708 77356 82636 93956 102054 109062 116034 123954 131878 140934 153081 174051 185931 197817 204108 211401 218124 232068 247908 263756 281868 306162 348102 371862 395634 422802 593451 612324 696204 743724 791268 845604 1186902 1411747 1714697 2373804 2823494 3429394 4235241 4813547 5144091 5472937 5646988 6858788 8470482 9627094 10288182 10945874 12705723 14440641 15432273 16418811 16940964 19254188 20576364 21891748 25411446 28881282 30864546 32837622 43321923 49256433 50822892 57762564 61729092 65675244 86643846 98512866 173287692 197025732 399524401 799048802 1198573203 1598097604 2397146406 3595719609 4794292812 7191439218 14382878436