Search a number
-
+
14366338380 = 22325157508363
BaseRepresentation
bin11010110000100110…
…01110110101001100
31101002012210121100200
431120103032311030
5213410240312010
610333320253500
71016003601312
oct153023166514
941065717320
1014366338380
116102472729
12294b311290
13147c495954
149a3dd80b2
15591397cc0
hex3584ced4c

14366338380 has 72 divisors (see below), whose sum is σ = 43855545552. Its totient is φ = 3806614656.

The previous prime is 14366338369. The next prime is 14366338381. The reversal of 14366338380 is 8383366341.

14366338380 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 633 + 8 + 3 + 8 + 0 = 666.

14366338380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143663383802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14366338381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 225922 + ... + 282441.

Almost surely, 214366338380 is an apocalyptic number.

14366338380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14366338380 is an abundant number, since it is smaller than the sum of its proper divisors (29489207172).

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

14366338380 is a wasteful number, since it uses less digits than its factorization.

14366338380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508535 (or 508530 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 14366338380 in words is "fourteen billion, three hundred sixty-six million, three hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 508363 1016726 1525089 2033452 2541815 3050178 4575267 5083630 6100356 7625445 9150534 10167260 15250890 18301068 22876335 30501780 45752670 79812991 91505340 159625982 239438973 319251964 399064955 478877946 718316919 798129910 957755892 1197194865 1436633838 1596259820 2394389730 2873267676 3591584595 4788779460 7183169190 14366338380