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11424423040 = 27537347857
BaseRepresentation
bin10101010001111001…
…01101110010000000
31002111012001211012021
422220330231302000
5141344123014130
65125345011224
7553051664542
oct125074556200
932435054167
1011424423040
114932875138
12226a023b14
131100b3a644
147a53d1692
1546ce7937a
hex2a8f2dc80

11424423040 has 64 divisors (see below), whose sum is σ = 27385304760. Its totient is φ = 4557422592.

The previous prime is 11424423001. The next prime is 11424423061. The reversal of 11424423040 is 4032442411.

It can be written as a sum of positive squares in 4 ways, for example, as 9536694336 + 1887728704 = 97656^2 + 43448^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11424422996 and 11424423014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214792 + ... + 262648.

Almost surely, 211424423040 is an apocalyptic number.

11424423040 is a gapful number since it is divisible by the number (10) 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 11424423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692652380).

11424423040 is an abundant number, since it is smaller than the sum of its proper divisors (15960881720).

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

11424423040 is an equidigital number, since it uses as much as digits as its factorization.

11424423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48249 (or 48237 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11424423040 its reverse (4032442411), we get a palindrome (15456865451).

The spelling of 11424423040 in words is "eleven billion, four hundred twenty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 373 640 746 1492 1865 2984 3730 5968 7460 11936 14920 23872 29840 47744 47857 59680 95714 119360 191428 238720 239285 382856 478570 765712 957140 1531424 1914280 3062848 3828560 6125696 7657120 15314240 17850661 30628480 35701322 71402644 89253305 142805288 178506610 285610576 357013220 571221152 714026440 1142442304 1428052880 2284884608 2856105760 5712211520 11424423040