Search a number
-
+
14315413504200 = 2335223859022507
BaseRepresentation
bin1101000001010001000100…
…1000110000000011001000
31212200112120210002010022120
43100110101020300003020
53334020431324113300
650240224333051240
73005153202040104
oct320242110600310
955615523063276
1014315413504200
11461a1507a2806
12173250b026b20
137cac2618aa33
14376c266b2904
1519c59b8513a0
hexd05112300c8

14315413504200 has 48 divisors (see below), whose sum is σ = 44377781864880. Its totient is φ = 3817443600960.

The previous prime is 14315413504181. The next prime is 14315413504229. The reversal of 14315413504200 is 240531451341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11929510654 + ... + 11929511853.

It is an arithmetic number, because the mean of its divisors is an integer number (924537122185).

Almost surely, 214315413504200 is an apocalyptic number.

14315413504200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14315413504200 is an abundant number, since it is smaller than the sum of its proper divisors (30062368360680).

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

14315413504200 is a wasteful number, since it uses less digits than its factorization.

14315413504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23859022526 (or 23859022517 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 14315413504200 its reverse (240531451341), we get a palindrome (14555944955541).

The spelling of 14315413504200 in words is "fourteen trillion, three hundred fifteen billion, four hundred thirteen million, five hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 23859022507 47718045014 71577067521 95436090028 119295112535 143154135042 190872180056 238590225070 286308270084 357885337605 477180450140 572616540168 596475562675 715770675210 954360900280 1192951125350 1431541350420 1789426688025 2385902250700 2863082700840 3578853376050 4771804501400 7157706752100 14315413504200