Search a number
-
+
24213140421204 = 2237835717607471
BaseRepresentation
bin1011000000101100011111…
…01000100011101001010100
310011201202100101110110020010
411200112033220203221110
511133202002421434304
6123255210235040220
75046225122512650
oct540261750435124
9104652311413203
1024213140421204
11779580a594839
1228708038a0070
13106839b8c72a7
145d9cca91ba60
152bec8cc03789
hex16058fa23a54

24213140421204 has 96 divisors (see below), whose sum is σ = 65357844443136. Its totient is φ = 6833483487360.

The previous prime is 24213140421193. The next prime is 24213140421241. The reversal of 24213140421204 is 40212404131242.

24213140421204 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39555189 + ... + 40162659.

It is an arithmetic number, because the mean of its divisors is an integer number (680810879616).

Almost surely, 224213140421204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24213140421204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678922221568).

24213140421204 is an abundant number, since it is smaller than the sum of its proper divisors (41144704021932).

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

24213140421204 is a wasteful number, since it uses less digits than its factorization.

24213140421204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613285 (or 613283 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 24213140421204 its reverse (40212404131242), we get a palindrome (64425544552446).

The spelling of 24213140421204 in words is "twenty-four trillion, two hundred thirteen billion, one hundred forty million, four hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 5717 6972 11434 17151 22868 34302 40019 68604 80038 120057 160076 240114 474511 480228 607471 949022 1214942 1423533 1822413 1898044 2429884 2847066 3321577 3644826 4252297 5694132 6643154 7289652 8504594 9964731 12756891 13286308 17009188 19929462 25513782 39858924 50420093 51027564 100840186 151260279 201680372 302520558 352940651 605041116 705881302 1058821953 1411762604 2117643906 3472911707 4235287812 6945823414 10418735121 13891646828 20837470242 24310381949 41674940484 48620763898 72931145847 97241527796 145862291694 288251671681 291724583388 576503343362 864755015043 1153006686724 1729510030086 2017761701767 3459020060172 4035523403534 6053285105301 8071046807068 12106570210602 24213140421204