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11044532240 = 2457143313763
BaseRepresentation
bin10100100100100111…
…00011000000010000
31001111201020100222122
422102103203000100
5140104400012430
65023534353412
7540456655310
oct122223430020
931451210878
1011044532240
1147583945a5
12218295b868
13107021a0a1
1476ab83440
15449938ee5
hex2924e3010

11044532240 has 80 divisors (see below), whose sum is σ = 29369513088. Its totient is φ = 3783779328.

The previous prime is 11044532237. The next prime is 11044532243. The reversal of 11044532240 is 4223544011.

It is an interprime number because it is at equal distance from previous prime (11044532237) and next prime (11044532243).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11044532243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795599 + ... + 809361.

Almost surely, 211044532240 is an apocalyptic number.

11044532240 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 11044532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684756544).

11044532240 is an abundant number, since it is smaller than the sum of its proper divisors (18324980848).

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

11044532240 is a wasteful number, since it uses less digits than its factorization.

11044532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 11044532240 in words is "eleven billion, forty-four million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1433 2866 5732 7165 10031 11464 13763 14330 20062 22928 27526 28660 40124 50155 55052 57320 68815 80248 96341 100310 110104 114640 137630 160496 192682 200620 220208 275260 385364 401240 481705 550520 770728 802480 963410 1101040 1541456 1926820 3853640 7707280 19722379 39444758 78889516 98611895 138056653 157779032 197223790 276113306 315558064 394447580 552226612 690283265 788895160 1104453224 1380566530 1577790320 2208906448 2761133060 5522266120 11044532240