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21240430432 = 251371799103
BaseRepresentation
bin10011110010000001…
…110011111101100000
32000211021121122220121
4103302001303331200
5322000022233212
613431400050024
71351233452104
oct236201637540
960737548817
1021240430432
11900a73a841
124149463914
132006686840
141056d3b904
15844ae0d07
hex4f2073f60

21240430432 has 96 divisors (see below), whose sum is σ = 46251233280. Its totient is φ = 9541808640.

The previous prime is 21240430427. The next prime is 21240430433. The reversal of 21240430432 is 23403404212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21240430397 and 21240430406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240430433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328793 + ... + 2337895.

It is an arithmetic number, because the mean of its divisors is an integer number (481783680).

Almost surely, 221240430432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21240430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23125616640).

21240430432 is an abundant number, since it is smaller than the sum of its proper divisors (25010802848).

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

21240430432 is a wasteful number, since it uses less digits than its factorization.

21240430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 21240430432 its reverse (23403404212), we get a palindrome (44643834644).

The spelling of 21240430432 in words is "twenty-one billion, two hundred forty million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 71 79 104 142 158 208 284 316 416 568 632 923 1027 1136 1264 1846 2054 2272 2528 3692 4108 5609 7384 8216 9103 11218 14768 16432 18206 22436 29536 32864 36412 44872 72824 72917 89744 118339 145648 145834 179488 236678 291296 291668 473356 583336 646313 719137 946712 1166672 1292626 1438274 1893424 2333344 2585252 2876548 3786848 5170504 5753096 8402069 9348781 10341008 11506192 16804138 18697562 20682016 23012384 33608276 37395124 51058727 67216552 74790248 102117454 134433104 149580496 204234908 268866208 299160992 408469816 663763451 816939632 1327526902 1633879264 2655053804 5310107608 10620215216 21240430432