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4214103024 = 2431945710111
BaseRepresentation
bin1111101100101110…
…0001101111110000
3101212200120121120210
43323023201233300
532112302244044
61534054504120
7206300166435
oct37313415760
911780517523
104214103024
111872829a7a
12997365040
135220a5cb1
142bd967b8c
15199e681b9
hexfb2e1bf0

4214103024 has 80 divisors (see below), whose sum is σ = 11485614080. Its totient is φ = 1327726080.

The previous prime is 4214102969. The next prime is 4214103031. The reversal of 4214103024 is 4203014124.

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, 411729 + ... + 421839.

It is an arithmetic number, because the mean of its divisors is an integer number (143570176).

Almost surely, 24214103024 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 4214103024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742807040).

4214103024 is an abundant number, since it is smaller than the sum of its proper divisors (7271511056).

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

4214103024 is a wasteful number, since it uses less digits than its factorization.

4214103024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4214103024 is about 64916.1229895933. The cubic root of 4214103024 is about 1615.2325191834.

Adding to 4214103024 its reverse (4203014124), we get a palindrome (8417117148).

Subtracting from 4214103024 its reverse (4203014124), we obtain a square (11088900 = 33302).

The spelling of 4214103024 in words is "four billion, two hundred fourteen million, one hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 457 912 914 1371 1828 2742 3656 5484 7312 8683 10111 10968 17366 20222 21936 26049 30333 34732 40444 52098 60666 69464 80888 104196 121332 138928 161776 192109 208392 242664 384218 416784 485328 576327 768436 1152654 1536872 2305308 3073744 4610616 4620727 9221232 9241454 13862181 18482908 27724362 36965816 55448724 73931632 87793813 110897448 175587626 221794896 263381439 351175252 526762878 702350504 1053525756 1404701008 2107051512 4214103024