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21410344431 = 3272983271521
BaseRepresentation
bin10011111100001001…
…111110110111101111
32001021010100012002200
4103330021332313233
5322322022010211
613500305552543
71355365632150
oct237411766757
961233305080
1021410344431
119097643733
124196345753
132032938978
14107172b927
158549a5b56
hex4fc27edef

21410344431 has 96 divisors (see below), whose sum is σ = 37211166720. Its totient is φ = 11604902400.

The previous prime is 21410344429. The next prime is 21410344469. The reversal of 21410344431 is 13444301412.

21410344431 is a `hidden beast` number, since 214 + 1 + 0 + 3 + 4 + 443 + 1 = 666.

It is not a de Polignac number, because 21410344431 - 21 = 21410344429 is a prime.

It is a super-2 number, since 2×214103444312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21410344395 and 21410344404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21410344481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41094451 + ... + 41094971.

It is an arithmetic number, because the mean of its divisors is an integer number (387616320).

Almost surely, 221410344431 is an apocalyptic number.

21410344431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21410344431 is a deficient number, since it is larger than the sum of its proper divisors (15800822289).

21410344431 is a wasteful number, since it uses less digits than its factorization.

21410344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 914 counting only the distinct ones).

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

Adding to 21410344431 its reverse (13444301412), we get a palindrome (34854645843).

The spelling of 21410344431 in words is "twenty-one billion, four hundred ten million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 29 63 83 87 203 249 261 271 521 581 609 747 813 1563 1743 1827 1897 2407 2439 3647 4689 5229 5691 7221 7859 10941 15109 16849 17073 21663 22493 23577 32823 43243 45327 50547 55013 67479 70731 105763 129729 135981 141191 151641 157451 165039 202437 302701 317289 389187 423573 472353 495117 652297 908103 951867 988337 1254047 1270719 1417059 1956891 2724309 2965011 3762141 4094539 4566079 5870673 8778329 8895033 11286423 11718853 12283617 13698237 26334987 28661773 35156559 36850851 41094711 79004961 82031971 85985319 105469677 246095913 257955957 339846737 738287739 1019540211 2378927159 3058620633 7136781477 21410344431