Search a number
-
+
21142434324 = 22311617335969
BaseRepresentation
bin10011101100001011…
…111111001000010100
32000120110012221112010
4103230023333020110
5321244430344244
613413535424220
71345633504134
oct235413771024
960513187463
1021142434324
118a6a397920
124120685070
131cbc29518b
141047d0cac4
1583b1d4eb9
hex4ec2ff214

21142434324 has 96 divisors (see below), whose sum is σ = 55450200960. Its totient is φ = 6215270400.

The previous prime is 21142434277. The next prime is 21142434331. The reversal of 21142434324 is 42343424112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21142434291 and 21142434300.

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, 569812 + ... + 605780.

It is an arithmetic number, because the mean of its divisors is an integer number (577606260).

Almost surely, 221142434324 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 21142434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27725100480).

21142434324 is an abundant number, since it is smaller than the sum of its proper divisors (34307766636).

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

21142434324 is a wasteful number, since it uses less digits than its factorization.

21142434324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36121 (or 36119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 21142434324 its reverse (42343424112), we get a palindrome (63485858436).

The spelling of 21142434324 in words is "twenty-one billion, one hundred forty-two million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 73 122 132 146 183 219 244 292 366 438 671 732 803 876 1342 1606 2013 2409 2684 3212 4026 4453 4818 8052 8906 9636 13359 17812 26718 35969 48983 53436 71938 97966 107907 143876 146949 195932 215814 293898 395659 431628 587796 791318 1186977 1582636 2194109 2373954 2625737 4388218 4747908 5251474 6582327 7877211 8776436 10502948 13164654 15754422 24135199 26329308 28883107 31508844 48270398 57766214 72405597 86649321 96540796 115532428 144811194 160169957 173298642 289622388 320339914 346597284 480509871 640679828 961019742 1761869527 1922039484 3523739054 5285608581 7047478108 10571217162 21142434324