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21541403034 = 2333741594457
BaseRepresentation
bin10100000011111101…
…111011100110011010
32001121020221122201000
4110003331323212122
5323104044344114
613521311005430
71361546622204
oct240375734632
961536848630
1021541403034
119154618a28
124212209876
132053b35238
141084cc5774
15861242e09
hex503f7b99a

21541403034 has 128 divisors (see below), whose sum is σ = 51227769600. Its totient is φ = 6698972160.

The previous prime is 21541403033. The next prime is 21541403041. The reversal of 21541403034 is 43030414512.

It is a happy number.

21541403034 is a `hidden beast` number, since 21 + 541 + 40 + 30 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21541402989 and 21541403007.

It is not an unprimeable number, because it can be changed into a prime (21541403033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4830934 + ... + 4835390.

It is an arithmetic number, because the mean of its divisors is an integer number (400216950).

Almost surely, 221541403034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21541403034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613884800).

21541403034 is an abundant number, since it is smaller than the sum of its proper divisors (29686366566).

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

21541403034 is a wasteful number, since it uses less digits than its factorization.

21541403034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 21541403034 its reverse (43030414512), we get a palindrome (64571817546).

The spelling of 21541403034 in words is "twenty-one billion, five hundred forty-one million, four hundred three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 37 41 54 59 74 82 111 118 123 177 222 246 333 354 369 531 666 738 999 1062 1107 1517 1593 1998 2183 2214 2419 3034 3186 4366 4457 4551 4838 6549 7257 8914 9102 13098 13371 13653 14514 19647 21771 26742 27306 39294 40113 40959 43542 58941 65313 80226 81918 89503 117882 120339 130626 164909 179006 182737 240678 262963 268509 329818 365474 494727 525926 537018 548211 788889 805527 989454 1096422 1484181 1577778 1611054 1644633 2366667 2416581 2968362 3289266 4452543 4733334 4833162 4933899 6761269 7100001 8905086 9729631 9867798 10781483 13522538 14200002 19459262 20283807 21562966 29188893 32344449 40567614 58377786 60851421 64688898 87566679 97033347 121702842 175133358 182554263 194066694 262700037 291100041 365108526 398914871 525400074 582200082 797829742 1196744613 2393489226 3590233839 7180467678 10770701517 21541403034