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24423014304 = 25321327124071
BaseRepresentation
bin10110101111101110…
…011001111110100000
32100001002012200020100
4112233232121332200
5400004242424204
615115245542400
71523140124223
oct265756317640
970032180210
1024423014304
11a3a3178147
124897274a00
1323c2b38070
1412798b15ba
1597e1eda39
hex5afb99fa0

24423014304 has 144 divisors (see below), whose sum is σ = 75074598144. Its totient is φ = 7486732800.

The previous prime is 24423014293. The next prime is 24423014339. The reversal of 24423014304 is 40341032442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002589 + ... + 1026659.

It is an arithmetic number, because the mean of its divisors is an integer number (521351376).

Almost surely, 224423014304 is an apocalyptic number.

24423014304 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 24423014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537299072).

24423014304 is an abundant number, since it is smaller than the sum of its proper divisors (50651583840).

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

24423014304 is a wasteful number, since it uses less digits than its factorization.

24423014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24371 (or 24360 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 24423014304 its reverse (40341032442), we get a palindrome (64764046746).

The spelling of 24423014304 in words is "twenty-four billion, four hundred twenty-three million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 271 288 312 416 468 542 624 813 936 1084 1248 1626 1872 2168 2439 3252 3523 3744 4336 4878 6504 7046 8672 9756 10569 13008 14092 19512 21138 24071 26016 28184 31707 39024 42276 48142 56368 63414 72213 78048 84552 96284 112736 126828 144426 169104 192568 216639 253656 288852 312923 338208 385136 433278 507312 577704 625846 770272 866556 938769 1014624 1155408 1251692 1733112 1877538 2310816 2503384 2816307 3466224 3755076 5006768 5632614 6523241 6932448 7510152 10013536 11265228 13046482 15020304 19569723 22530456 26092964 30040608 39139446 45060912 52185928 58709169 78278892 84802133 90121824 104371856 117418338 156557784 169604266 208743712 234836676 254406399 313115568 339208532 469673352 508812798 626231136 678417064 763219197 939346704 1017625596 1356834128 1526438394 1878693408 2035251192 2713668256 3052876788 4070502384 6105753576 8141004768 12211507152 24423014304