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4234412013021 = 3219419715739659
BaseRepresentation
bin111101100111100110100…
…111111011010111011101
3112222210202110020202212100
4331213212213323113131
51023334033433404041
613001132332555313
7614632451146521
oct75474647732735
915883673222770
104234412013021
111392893210553
125847a8022b39
132493c358a898
14108d377cdd81
15752305666b6
hex3d9e69fb5dd

4234412013021 has 96 divisors (see below), whose sum is σ = 6705922204800. Its totient is φ = 2565726658560.

The previous prime is 4234412013017. The next prime is 4234412013067. The reversal of 4234412013021 is 1203102144324.

4234412013021 is a `hidden beast` number, since 4 + 2 + 344 + 12 + 0 + 1 + 302 + 1 = 666.

It is not a de Polignac number, because 4234412013021 - 22 = 4234412013017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234412013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106750690 + ... + 106790348.

It is an arithmetic number, because the mean of its divisors is an integer number (69853356300).

Almost surely, 24234412013021 is an apocalyptic number.

4234412013021 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4234412013021 is a deficient number, since it is larger than the sum of its proper divisors (2471510191779).

4234412013021 is a wasteful number, since it uses less digits than its factorization.

4234412013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39979 (or 39976 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4234412013021 its reverse (1203102144324), we get a palindrome (5437514157345).

The spelling of 4234412013021 in words is "four trillion, two hundred thirty-four billion, four hundred twelve million, thirteen thousand, twenty-one".

Divisors: 1 3 9 19 41 57 97 123 157 171 291 369 471 779 873 1413 1843 2337 2983 3977 5529 6437 7011 8949 11931 15229 16587 19311 26847 35793 39659 45687 57933 75563 118977 122303 137061 226689 289351 356931 366909 624389 680067 753521 868053 1100727 1626019 1873167 2260563 2604159 3846923 4878057 5619501 6226463 6781689 11540769 11863391 14634171 18679389 30894361 34622307 35590173 56038167 73091537 92683083 106770519 118302797 157723843 219274611 255284983 278049249 354908391 473171529 603966911 657823833 765854949 1064725173 1419514587 1811900733 2297564847 2996753017 4850414677 5435702199 8990259051 11475371309 14551244031 24762643351 26970777153 34426113927 43653732093 74287930053 103278341781 222863790159 470490223669 1411470671007 4234412013021