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11441532340 = 2257224734721
BaseRepresentation
bin10101010011111011…
…11110110110110100
31002112101021001202001
422221331332312310
5141413013013330
65131155425044
7553350264100
oct125175766664
932471231661
1011441532340
1149414a0657
1222738b5184
13110454b0a4
147a77a6900
1546e7089ca
hex2a9f7edb4

11441532340 has 72 divisors (see below), whose sum is σ = 27967253832. Its totient is φ = 3920394240.

The previous prime is 11441532329. The next prime is 11441532341. The reversal of 11441532340 is 4323514411.

It can be written as a sum of positive squares in 4 ways, for example, as 2349147024 + 9092385316 = 48468^2 + 95354^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11441532299 and 11441532308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441532341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421180 + ... + 2425900.

It is an arithmetic number, because the mean of its divisors is an integer number (388434081).

Almost surely, 211441532340 is an apocalyptic number.

11441532340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441532340 is an abundant number, since it is smaller than the sum of its proper divisors (16525721492).

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

11441532340 is a wasteful number, since it uses less digits than its factorization.

11441532340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 11441532340 in words is "eleven billion, four hundred forty-one million, five hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2473 4721 4946 9442 9892 12365 17311 18884 23605 24730 33047 34622 47210 49460 66094 69244 86555 94420 121177 132188 165235 173110 231329 242354 330470 346220 462658 484708 605885 660940 925316 1156645 1211770 2313290 2423540 4626580 11675033 23350066 46700132 58375165 81725231 116750330 163450462 233500660 326900924 408626155 572076617 817252310 1144153234 1634504620 2288306468 2860383085 5720766170 11441532340