Search a number
-
+
120414000124104 = 23374358211160057
BaseRepresentation
bin11011011000010000010001…
…101101000001000011001000
3120210100110120201001101202020
4123120100101231001003020
5111240330333012432404
61104033232240204440
734235424114161421
oct3330202155010310
9523313521041666
10120414000124104
113540532197a005
1211609059009720
135225cb73bb4cb
1421a40d673c648
15ddc3a01a8ed9
hex6d8411b410c8

120414000124104 has 64 divisors (see below), whose sum is σ = 301492206656640. Its totient is φ = 40077057861120.

The previous prime is 120414000124091. The next prime is 120414000124199. The reversal of 120414000124104 is 401421000414021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103220044 + ... + 104380100.

It is an arithmetic number, because the mean of its divisors is an integer number (4710815729010).

Almost surely, 2120414000124104 is an apocalyptic number.

It is an amenable number.

120414000124104 is an abundant number, since it is smaller than the sum of its proper divisors (181078206532536).

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

120414000124104 is a wasteful number, since it uses less digits than its factorization.

120414000124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166630 (or 1166626 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 120414000124104 its reverse (401421000414021), we get a palindrome (521835000538125).

The spelling of 120414000124104 in words is "one hundred twenty trillion, four hundred fourteen billion, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 743 1486 2229 2972 4458 5821 5944 8916 11642 17463 17832 23284 34926 46568 69852 139704 1160057 2320114 3480171 4325003 4640228 6960342 8650006 9280456 12975009 13920684 17300012 25950018 27841368 34600024 51900036 103800072 861922351 1723844702 2585767053 3447689404 5171534106 6752691797 6895378808 10343068212 13505383594 20258075391 20686136424 27010767188 40516150782 54021534376 81032301564 162064603128 5017250005171 10034500010342 15051750015513 20069000020684 30103500031026 40138000041368 60207000062052 120414000124104