Search a number
-
+
1200020434000 = 24532392510503
BaseRepresentation
bin10001011101100110110…
…010101010110001010000
311020201110111011021011021
4101131212302222301100
5124130120212342000
62315140510325224
7152461424250253
oct21354662526120
94221414137137
101200020434000
11422a202834a3
121746a44b9814
13892138c082b
144211d12709a
15213368c511a
hex11766caac50

1200020434000 has 80 divisors (see below), whose sum is σ = 2913791362560. Its totient is φ = 477999580800.

The previous prime is 1200020433961. The next prime is 1200020434021. The reversal of 1200020434000 is 4340200021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777252 + ... + 1733251.

It is an arithmetic number, because the mean of its divisors is an integer number (36422392032).

Almost surely, 21200020434000 is an apocalyptic number.

1200020434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200020434000 is an abundant number, since it is smaller than the sum of its proper divisors (1713770928560).

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

1200020434000 is a wasteful number, since it uses less digits than its factorization.

1200020434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510765 (or 2510749 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1200020434000 its reverse (4340200021), we get a palindrome (1204360634021).

The spelling of 1200020434000 in words is "one trillion, two hundred billion, twenty million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 239 250 400 478 500 956 1000 1195 1912 2000 2390 3824 4780 5975 9560 11950 19120 23900 29875 47800 59750 95600 119500 239000 478000 2510503 5021006 10042012 12552515 20084024 25105030 40168048 50210060 62762575 100420120 125525150 200840240 251050300 313812875 502100600 600010217 627625750 1004201200 1200020434 1255251500 2400040868 2510503000 3000051085 4800081736 5021006000 6000102170 9600163472 12000204340 15000255425 24000408680 30000510850 48000817360 60001021700 75001277125 120002043400 150002554250 240004086800 300005108500 600010217000 1200020434000