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21334034040 = 233511127127261
BaseRepresentation
bin10011110111100110…
…111000011001111000
32001001210202012220220
4103313212320121320
5322143003042130
613444542220040
71353451203654
oct236746703170
961053665826
1021334034040
1190585625a0
124174884620
13201cb9aaa7
141065545a64
1584ce30410
hex4f79b8678

21334034040 has 128 divisors (see below), whose sum is σ = 70370795520. Its totient is φ = 5131123200.

The previous prime is 21334034039. The next prime is 21334034041. The reversal of 21334034040 is 4043043312.

It is an interprime number because it is at equal distance from previous prime (21334034039) and next prime (21334034041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21334034040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21334034041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104010 + ... + 231270.

It is an arithmetic number, because the mean of its divisors is an integer number (549771840).

Almost surely, 221334034040 is an apocalyptic number.

21334034040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185397760).

21334034040 is an abundant number, since it is smaller than the sum of its proper divisors (49036761480).

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

21334034040 is a wasteful number, since it uses less digits than its factorization.

21334034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127413 (or 127409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21334034040 its reverse (4043043312), we get a palindrome (25377077352).

The spelling of 21334034040 in words is "twenty-one billion, three hundred thirty-four million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 440 508 635 660 762 1016 1270 1320 1397 1524 1905 2540 2794 3048 3810 4191 5080 5588 6985 7620 8382 11176 13970 15240 16764 20955 27940 33528 41910 55880 83820 127261 167640 254522 381783 509044 636305 763566 1018088 1272610 1399871 1527132 1908915 2545220 2799742 3054264 3817830 4199613 5090440 5599484 6999355 7635660 8399226 11198968 13998710 15271320 16162147 16798452 20998065 27997420 32324294 33596904 41996130 48486441 55994840 64648588 80810735 83992260 96972882 129297176 161621470 167984520 177783617 193945764 242432205 323242940 355567234 387891528 484864410 533350851 646485880 711134468 888918085 969728820 1066701702 1422268936 1777836170 1939457640 2133403404 2666754255 3555672340 4266806808 5333508510 7111344680 10667017020 21334034040