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14011322232420 = 2234537233755793
BaseRepresentation
bin1100101111100100001111…
…1000100110111001100100
31211121110200010200221210000
43023321003320212321210
53314030141442414140
645444413525501300
72644166424630402
oct313710370467144
954543603627700
1014011322232420
114512194142467
1216a35a3571830
137a8353861966
1436621a05c472
151946eeddda30
hexcbe43e26e64

14011322232420 has 120 divisors (see below), whose sum is σ = 45141983914104. Its totient is φ = 3635370077184.

The previous prime is 14011322232379. The next prime is 14011322232421. The reversal of 14011322232420 is 2423222311041.

14011322232420 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 3 + 2 + 2 + 232 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1509610310244 + 12501711922176 = 1228662^2 + 3535776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14011322232421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116817957 + ... + 116937836.

Almost surely, 214011322232420 is an apocalyptic number.

14011322232420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011322232420 is an abundant number, since it is smaller than the sum of its proper divisors (31130661681684).

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

14011322232420 is a wasteful number, since it uses less digits than its factorization.

14011322232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233755851 (or 233755840 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14011322232420 its reverse (2423222311041), we get a palindrome (16434544543461).

The spelling of 14011322232420 in words is "fourteen trillion, eleven billion, three hundred twenty-two million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 59940 233755793 467511586 701267379 935023172 1168778965 1402534758 2103802137 2337557930 2805069516 3506336895 4207604274 4675115860 6311406411 7012673790 8415208548 8648964341 10519010685 12622812822 14025347580 17297928682 18934219233 21038021370 25245625644 25946893023 31557032055 34595857364 37868438466 42076042740 43244821705 51893786046 63114064110 75736876932 77840679069 86489643410 94671096165 103787572092 126228128220 129734465115 155681358138 172979286820 189342192330 233522037207 259468930230 311362716276 378684384660 389203395345 467044074414 518937860460 700566111621 778406790690 934088148828 1167610186035 1401132223242 1556813581380 2335220372070 2802264446484 3502830558105 4670440744140 7005661116210 14011322232420