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21124124441424 = 2433148213299267
BaseRepresentation
bin1001100110110010101111…
…11011101111101101010000
32202210110001112220212122000
410303121113323233231100
510232044201324111144
6112532142214114000
74310111332066614
oct463312773575520
982713045825560
1021124124441424
1168047665a6a24
122451bb664b900
13ba2cc50a8a04
145305ad6b5344
15269748709769
hex133657eefb50

21124124441424 has 80 divisors (see below), whose sum is σ = 60638170367040. Its totient is φ = 7040897585280.

The previous prime is 21124124441419. The next prime is 21124124441479. The reversal of 21124124441424 is 42414442142112.

21124124441424 is a `hidden beast` number, since 2 + 112 + 4 + 124 + 4 + 414 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4753039 + ... + 8052305.

It is an arithmetic number, because the mean of its divisors is an integer number (757977129588).

Almost surely, 221124124441424 is an apocalyptic number.

21124124441424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21124124441424 is an abundant number, since it is smaller than the sum of its proper divisors (39514045925616).

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

21124124441424 is a wasteful number, since it uses less digits than its factorization.

21124124441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314105 (or 3314093 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

Adding to 21124124441424 its reverse (42414442142112), we get a palindrome (63538566583536).

The spelling of 21124124441424 in words is "twenty-one trillion, one hundred twenty-four billion, one hundred twenty-four million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 14821 29642 44463 59284 88926 118568 133389 177852 237136 266778 355704 400167 533556 711408 800334 1067112 1600668 2134224 3201336 3299267 6402672 6598534 9897801 13197068 19795602 26394136 29693403 39591204 52788272 59386806 79182408 89080209 118773612 158364816 178160418 237547224 356320836 475094448 712641672 1425283344 48898436207 97796872414 146695308621 195593744828 293390617242 391187489656 440085925863 586781234484 782374979312 880171851726 1173562468968 1320257777589 1760343703452 2347124937936 2640515555178 3520687406904 5281031110356 7041374813808 10562062220712 21124124441424