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14120545134312 = 2332401612179901
BaseRepresentation
bin1100110101111011001000…
…0100111010011011101000
31211222220121001212020221200
43031132302010322123220
53322322334023244222
650010515555404200
72655114162160611
oct315366204723350
954886531766850
1014120545134312
114554542674231
1217007a5bb3660
137b573c066ba6
1436b61bd58c08
15197493b84eac
hexcd7b213a6e8

14120545134312 has 96 divisors (see below), whose sum is σ = 38345255849160. Its totient is φ = 4694284800000.

The previous prime is 14120545134251. The next prime is 14120545134331. The reversal of 14120545134312 is 21343154502141.

14120545134312 is a `hidden beast` number, since 1 + 4 + 1 + 205 + 4 + 5 + 13 + 431 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12412050409476 + 1708494724836 = 3523074^2 + 1307094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176685562 + ... + 176765462.

Almost surely, 214120545134312 is an apocalyptic number.

14120545134312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14120545134312 is an abundant number, since it is smaller than the sum of its proper divisors (24224710714848).

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

14120545134312 is a wasteful number, since it uses less digits than its factorization.

14120545134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86435 (or 86428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 14120545134312 its reverse (21343154502141), we get a palindrome (35463699636453).

The spelling of 14120545134312 in words is "fourteen trillion, one hundred twenty billion, five hundred forty-five million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 401 802 1203 1604 2406 3208 3609 4812 6121 7218 9624 12242 14436 18363 24484 28872 36726 48968 55089 73452 79901 110178 146904 159802 220356 239703 319604 440712 479406 639208 719109 958812 1438218 1917624 2454521 2876436 4909042 5752872 7363563 9818084 14727126 19636168 22090689 29454252 32040301 44181378 58908504 64080602 88362756 96120903 128161204 176725512 192241806 256322408 288362709 384483612 489074021 576725418 768967224 978148042 1153450836 1467222063 1956296084 2306901672 2934444126 3912592168 4401666189 5868888252 8803332378 11737776504 17606664756 35213329512 196118682421 392237364842 588356047263 784474729684 1176712094526 1568949459368 1765068141789 2353424189052 3530136283578 4706848378104 7060272567156 14120545134312