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11424410240 = 27589200569
BaseRepresentation
bin10101010001111001…
…01010101010000000
31002111012001011122012
422220330222222000
5141344122111430
65125344432052
7553051612325
oct125074525200
932435034565
1011424410240
114932866561
12226a018628
131100b34879
147a53cab4c
1546ce75695
hex2a8f2aa80

11424410240 has 64 divisors (see below), whose sum is σ = 27618489000. Its totient is φ = 4518395904.

The previous prime is 11424410203. The next prime is 11424410243. The reversal of 11424410240 is 4201442411.

It can be written as a sum of positive squares in 4 ways, for example, as 5608212544 + 5816197696 = 74888^2 + 76264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11424410243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43325 + ... + 157244.

Almost surely, 211424410240 is an apocalyptic number.

11424410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424410240 is an abundant number, since it is smaller than the sum of its proper divisors (16194078760).

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

11424410240 is an equidigital number, since it uses as much as digits as its factorization.

11424410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200677 (or 200665 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 11424410240 its reverse (4201442411), we get a palindrome (15625852651).

The spelling of 11424410240 in words is "eleven billion, four hundred twenty-four million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 890 1424 1780 2848 3560 5696 7120 11392 14240 28480 56960 200569 401138 802276 1002845 1604552 2005690 3209104 4011380 6418208 8022760 12836416 16045520 17850641 25672832 32091040 35701282 64182080 71402564 89253205 128364160 142805128 178506410 285610256 357012820 571220512 714025640 1142441024 1428051280 2284882048 2856102560 5712205120 11424410240