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14214124403200 = 29522938292361
BaseRepresentation
bin1100111011010111101111…
…0101011111101000000000
31212022212010202202122221101
43032311323311133220000
53330341011321400300
650121513440104144
72664636152633461
oct316657365375000
955285122678841
1014214124403200
1145901a3733a87
121716961605054
137c150358b147
14371d7836ad68
15199b1e37ab6a
hexced7bd5fa00

14214124403200 has 120 divisors (see below), whose sum is σ = 36430970283180. Its totient is φ = 5489592729600.

The previous prime is 14214124402931. The next prime is 14214124403309. The reversal of 14214124403200 is 230442141241.

It can be written as a sum of positive squares in 6 ways, for example, as 5101743759616 + 9112380643584 = 2258704^2 + 3018672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18774981 + ... + 19517380.

Almost surely, 214214124403200 is an apocalyptic number.

14214124403200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214124403200 is an abundant number, since it is smaller than the sum of its proper divisors (22216845879980).

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

14214124403200 is an equidigital number, since it uses as much as digits as its factorization.

14214124403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38292418 (or 38292397 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14214124403200 its reverse (230442141241), we get a palindrome (14444566544441).

The spelling of 14214124403200 in words is "fourteen trillion, two hundred fourteen billion, one hundred twenty-four million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 256 290 320 400 464 512 580 640 725 800 928 1160 1280 1450 1600 1856 2320 2560 2900 3200 3712 4640 5800 6400 7424 9280 11600 12800 14848 18560 23200 37120 46400 74240 92800 185600 371200 38292361 76584722 153169444 191461805 306338888 382923610 612677776 765847220 957309025 1110478469 1225355552 1531694440 1914618050 2220956938 2450711104 3063388880 3829236100 4441913876 4901422208 5552392345 6126777760 7658472200 8883827752 9802844416 11104784690 12253555520 15316944400 17767655504 19605688832 22209569380 24507111040 27761961725 30633888800 35535311008 44419138760 49014222080 55523923450 61267777600 71070622016 88838277520 98028444160 111047846900 122535555200 142141244032 177676555040 222095693800 245071110400 284282488064 355353110080 444191387600 490142220800 568564976128 710706220160 888382775200 1421412440320 1776765550400 2842824880640 3553531100800 7107062201600 14214124403200