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11440214032 = 2413198334877
BaseRepresentation
bin10101010011110001…
…11101000000010000
31002112021210002100211
422221320331000100
5141412143322112
65131111253504
7553333133452
oct125170750020
932467702324
1011440214032
114940780145
12227337a294
1311041a9020
147a75422d2
1546e5480a7
hex2a9e3d010

11440214032 has 80 divisors (see below), whose sum is σ = 25430247360. Its totient is φ = 4941789696.

The previous prime is 11440214011. The next prime is 11440214033. The reversal of 11440214032 is 23041204411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11440213994 and 11440214012.

It is not an unprimeable number, because it can be changed into a prime (11440214033) 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, 310578 + ... + 345454.

It is an arithmetic number, because the mean of its divisors is an integer number (317878092).

Almost surely, 211440214032 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 11440214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715123680).

11440214032 is an abundant number, since it is smaller than the sum of its proper divisors (13990033328).

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

11440214032 is a wasteful number, since it uses less digits than its factorization.

11440214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35000 (or 34994 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11440214032 its reverse (23041204411), we get a palindrome (34481418443).

The spelling of 11440214032 in words is "eleven billion, four hundred forty million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 83 104 152 166 208 247 304 332 494 664 988 1079 1328 1577 1976 2158 3154 3952 4316 6308 8632 12616 17264 20501 25232 34877 41002 69754 82004 139508 164008 279016 328016 453401 558032 662663 906802 1325326 1813604 2650652 2894791 3627208 5301304 5789582 7254416 8614619 10602608 11579164 17229238 23158328 34458476 37632283 46316656 55001029 68916952 75264566 110002058 137833904 150529132 220004116 301058264 440008232 602116528 715013377 880016464 1430026754 2860053508 5720107016 11440214032