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21432015110424 = 2334173626347639
BaseRepresentation
bin1001101111110000001111…
…01001011100000100011000
32210212212202222112102100010
410313320013221130010120
510302120231332013144
6113325422023441520
74341261212435202
oct467700751340430
983785688472303
1021432015110424
1169132a2886676
1224a18025b62a0
13bc60518baa19
1454145a781772
152727689b95b9
hex137e07a5c118

21432015110424 has 128 divisors (see below), whose sum is σ = 55648794700800. Its totient is φ = 6873042954240.

The previous prime is 21432015110393. The next prime is 21432015110447. The reversal of 21432015110424 is 42401151023412.

It is a junction number, because it is equal to n+sod(n) for n = 21432015110391 and 21432015110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449859997 + ... + 449907635.

It is an arithmetic number, because the mean of its divisors is an integer number (434756208600).

Almost surely, 221432015110424 is an apocalyptic number.

21432015110424 is a gapful number since it is divisible by the number (24) 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 21432015110424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27824397350400).

21432015110424 is an abundant number, since it is smaller than the sum of its proper divisors (34216779590376).

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

21432015110424 is a wasteful number, since it uses less digits than its factorization.

21432015110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54025 (or 54021 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21432015110424 its reverse (42401151023412), we get a palindrome (63833166133836).

The spelling of 21432015110424 in words is "twenty-one trillion, four hundred thirty-two billion, fifteen million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 73 82 123 146 164 219 246 292 328 438 492 584 876 984 1752 2993 5986 6263 8979 11972 12526 17958 18789 23944 25052 35916 37578 47639 50104 71832 75156 95278 142917 150312 190556 256783 285834 381112 457199 513566 571668 770349 914398 1027132 1143336 1371597 1540698 1828796 1953199 2054264 2743194 3081396 3477647 3657592 3906398 5486388 5859597 6162792 6955294 7812796 10432941 10972776 11719194 13910588 15625592 18745159 20865882 23438388 27821176 37490318 41731764 46876776 56235477 74980636 83463528 112470954 142583527 149961272 224941908 285167054 298363057 427750581 449883816 570334108 596726114 855501162 895089171 1140668216 1193452228 1711002324 1790178342 2386904456 3422004648 3580356684 7160713368 12232885337 21780503161 24465770674 36698656011 43561006322 48931541348 65341509483 73397312022 87122012644 97863082696 130683018966 146794624044 174244025288 261366037932 293589248088 522732075864 893000629601 1786001259202 2679001888803 3572002518404 5358003777606 7144005036808 10716007555212 21432015110424