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24341213440 = 28573337773
BaseRepresentation
bin10110101010110110…
…010111000100000000
32022211101021202112201
4112222312113010000
5344322322312230
615103204402544
71521124620565
oct265266270400
968741252481
1024341213440
11a360a86a25
1248739a6454
1323abbc709b
14126ca9a86c
15976e415ca
hex5aad97100

24341213440 has 144 divisors (see below), whose sum is σ = 59355577008. Its totient is φ = 9562226688.

The previous prime is 24341213417. The next prime is 24341213447. The reversal of 24341213440 is 4431214342.

It can be written as a sum of positive squares in 8 ways, for example, as 4081676544 + 20259536896 = 63888^2 + 142336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24341213399 and 24341213408.

It is not an unprimeable number, because it can be changed into a prime (24341213447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31488894 + ... + 31489666.

It is an arithmetic number, because the mean of its divisors is an integer number (412191507).

Almost surely, 224341213440 is an apocalyptic number.

24341213440 is a gapful number since it is divisible by the number (20) 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 24341213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29677788504).

24341213440 is an abundant number, since it is smaller than the sum of its proper divisors (35014363568).

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

24341213440 is an equidigital number, since it uses as much as digits as its factorization.

24341213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 24341213440 its reverse (4431214342), we get a palindrome (28772427782).

The spelling of 24341213440 in words is "twenty-four billion, three hundred forty-one million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 337 365 584 640 674 730 773 1168 1280 1348 1460 1546 1685 2336 2696 2920 3092 3370 3865 4672 5392 5840 6184 6740 7730 9344 10784 11680 12368 13480 15460 18688 21568 23360 24601 24736 26960 30920 43136 46720 49202 49472 53920 56429 61840 86272 93440 98404 98944 107840 112858 123005 123680 196808 197888 215680 225716 246010 247360 260501 282145 393616 431360 451432 492020 494720 521002 564290 787232 902864 984040 989440 1042004 1128580 1302505 1574464 1805728 1968080 2084008 2257160 2605010 3148928 3611456 3936160 4168016 4514320 5210020 6297856 7222912 7872320 8336032 9028640 10420040 14445824 15744640 16672064 18057280 19016573 20840080 31489280 33344128 36114560 38033146 41680160 66688256 72229120 76066292 83360320 95082865 152132584 166720640 190165730 304265168 333441280 380331460 608530336 760662920 1217060672 1521325840 2434121344 3042651680 4868242688 6085303360 12170606720 24341213440