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12380141832345 = 325752223752581
BaseRepresentation
bin1011010000100111100111…
…1101001100100010011001
31121211112022101000000221100
42310021321331030202121
53110314012302113340
642155205244502013
72415302312201010
oct264117175144231
947745271000840
1012380141832345
113a434303509a1
12147b43054a909
136ba599b52661
1430b2b8659a77
15167081267830
hexb4279f4c899

12380141832345 has 48 divisors (see below), whose sum is σ = 24524973637632. Its totient is φ = 5659377517440.

The previous prime is 12380141832323. The next prime is 12380141832371. The reversal of 12380141832345 is 54323814108321.

12380141832345 is a `hidden beast` number, since 1 + 238 + 0 + 1 + 4 + 183 + 234 + 5 = 666.

12380141832345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12380141832345 - 228 = 12379873396889 is a prime.

It is a super-2 number, since 2×123801418323452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12380141832345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16073955 + ... + 16826535.

It is an arithmetic number, because the mean of its divisors is an integer number (510936950784).

Almost surely, 212380141832345 is an apocalyptic number.

12380141832345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12380141832345 is a deficient number, since it is larger than the sum of its proper divisors (12144831805287).

12380141832345 is a wasteful number, since it uses less digits than its factorization.

12380141832345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804822 (or 804819 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12380141832345 in words is "twelve trillion, three hundred eighty billion, one hundred forty-one million, eight hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 52223 156669 261115 365561 470007 752581 783345 1096683 1827805 2257743 2350035 3290049 3762905 5268067 5483415 6773229 11288715 15804201 16450245 26340335 33866145 47412603 79021005 237063015 39302037563 117906112689 196510187815 275114262941 353718338067 589530563445 825342788823 1375571314705 1768591690335 2476028366469 4126713944115 12380141832345