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21240264024 = 233274122867
BaseRepresentation
bin10011110010000001…
…001011010101011000
32000211021022012122100
4103302001023111120
5322000001422044
613431352323400
71351232160000
oct236201132530
960737265570
1021240264024
11900a636811
1241493a3560
132006628b85
141056cd7000
15844aab869
hex4f204b558

21240264024 has 120 divisors (see below), whose sum is σ = 67109887260. Its totient is φ = 6068597472.

The previous prime is 21240264011. The next prime is 21240264029. The reversal of 21240264024 is 42046204212.

21240264024 is a `hidden beast` number, since 2 + 12 + 4 + 0 + 2 + 640 + 2 + 4 = 666.

It is a super-2 number, since 2×212402640242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240264029) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 111439 + ... + 234305.

Almost surely, 221240264024 is an apocalyptic number.

21240264024 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 21240264024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554943630).

21240264024 is an abundant number, since it is smaller than the sum of its proper divisors (45869623236).

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

21240264024 is a wasteful number, since it uses less digits than its factorization.

21240264024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122907 (or 122879 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21240264024 its reverse (42046204212), we get a palindrome (63286468236).

The spelling of 21240264024 in words is "twenty-one billion, two hundred forty million, two hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 19208 21609 24696 28812 43218 57624 86436 122867 172872 245734 368601 491468 737202 860069 982936 1105803 1474404 1720138 2211606 2580207 2948808 3440276 4423212 5160414 6020483 6880552 7740621 8846424 10320828 12040966 15481242 18061449 20641656 24081932 30962484 36122898 42143381 48163864 54184347 61924968 72245796 84286762 108368694 126430143 144491592 168573524 216737388 252860286 295003667 337147048 379290429 433474776 505720572 590007334 758580858 885011001 1011441144 1180014668 1517161716 1770022002 2360029336 2655033003 3034323432 3540044004 5310066006 7080088008 10620132012 21240264024