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14034050141200 = 2452241145581433
BaseRepresentation
bin1100110000111000111010…
…0100101100110000010000
31211200122100002021100101021
43030032032210230300100
53314413213314004300
645503053103445224
72645632562646205
oct314161644546020
954618302240337
1014034050141200
11452089748a751
1216a7a86bb6814
137aa5364451ab
1436737475dcac
151950d03a3d1a
hexcc38e92cc10

14034050141200 has 60 divisors (see below), whose sum is σ = 33856709453908. Its totient is φ = 5590326988800.

The previous prime is 14034050141159. The next prime is 14034050141219. The reversal of 14034050141200 is 214105043041.

It can be written as a sum of positive squares in 6 ways, for example, as 390660000784 + 13643390140416 = 625028^2 + 3693696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 72694317 + ... + 72887116.

Almost surely, 214034050141200 is an apocalyptic number.

14034050141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14034050141200 is an abundant number, since it is smaller than the sum of its proper divisors (19822659312708).

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

14034050141200 is a wasteful number, since it uses less digits than its factorization.

14034050141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145581692 (or 145581681 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14034050141200 its reverse (214105043041), we get a palindrome (14248155184241).

The spelling of 14034050141200 in words is "fourteen trillion, thirty-four billion, fifty million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 241 400 482 964 1205 1928 2410 3856 4820 6025 9640 12050 19280 24100 48200 96400 145581433 291162866 582325732 727907165 1164651464 1455814330 2329302928 2911628660 3639535825 5823257320 7279071650 11646514640 14558143300 29116286600 35085125353 58232573200 70170250706 140340501412 175425626765 280681002824 350851253530 561362005648 701702507060 877128133825 1403405014120 1754256267650 2806810028240 3508512535300 7017025070600 14034050141200