Search a number
-
+
12000141443232 = 253294374415297
BaseRepresentation
bin1010111010100000000000…
…1010110000000010100000
31120111012110111020011102200
42232220000022300002200
53033102242202140412
641304442221413200
72345660456163315
oct256500012600240
946435414204380
1012000141443232
113907260002238
12141985b10a200
136907baab3ac7
142d6b4a6bad0c
1515c24055e9dc
hexaea002b00a0

12000141443232 has 72 divisors (see below), whose sum is σ = 34129026087156. Its totient is φ = 3999622373376.

The previous prime is 12000141443221. The next prime is 12000141443233. The reversal of 12000141443232 is 23234414100021.

12000141443232 is a `hidden beast` number, since 1 + 200 + 0 + 1 + 414 + 43 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11999323712016 + 817731216 = 3464004^2 + 28596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 12000141443196 and 12000141443205.

It is not an unprimeable number, because it can be changed into a prime (12000141443233) by changing a digit.

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, 510208 + ... + 4925504.

Almost surely, 212000141443232 is an apocalyptic number.

12000141443232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000141443232 is an abundant number, since it is smaller than the sum of its proper divisors (22128884643924).

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

12000141443232 is a wasteful number, since it uses less digits than its factorization.

12000141443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424750 (or 4424739 counting only the distinct ones).

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

Adding to 12000141443232 its reverse (23234414100021), we get a palindrome (35234555543253).

The spelling of 12000141443232 in words is "twelve trillion, one hundred forty-one million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9437 18874 28311 37748 56622 75496 84933 113244 150992 169866 226488 301984 339732 452976 679464 905952 1358928 2717856 4415297 8830594 13245891 17661188 26491782 35322376 39737673 52983564 70644752 79475346 105967128 141289504 158950692 211934256 317901384 423868512 635802768 1271605536 41667157789 83334315578 125001473367 166668631156 250002946734 333337262312 375004420101 500005893468 666674524624 750008840202 1000011786936 1333349049248 1500017680404 2000023573872 3000035360808 4000047147744 6000070721616 12000141443232