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11443131344 = 242971419829
BaseRepresentation
bin10101010100001000…
…00101001111010000
31002112111021022011102
422222010011033100
5141413420200334
65131254003532
7553400003651
oct125204051720
932474238142
1011443131344
114942392a47
1222743465a8
13110498ab48
147a7aa1528
1546e92267e
hex2aa1053d0

11443131344 has 80 divisors (see below), whose sum is σ = 23342256000. Its totient is φ = 5426910720.

The previous prime is 11443131331. The next prime is 11443131347. The reversal of 11443131344 is 44313134411.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443131347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13803122 + ... + 13803950.

It is an arithmetic number, because the mean of its divisors is an integer number (291778200).

Almost surely, 211443131344 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 11443131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671128000).

11443131344 is an abundant number, since it is smaller than the sum of its proper divisors (11899124656).

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

11443131344 is a wasteful number, since it uses less digits than its factorization.

11443131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

Adding to 11443131344 its reverse (44313134411), we get a palindrome (55756265755).

It can be divided in two parts, 11 and 443131344, that multiplied together give a palindrome (4874444784).

The spelling of 11443131344 in words is "eleven billion, four hundred forty-three million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 419 464 568 829 838 1136 1658 1676 2059 3316 3352 4118 6632 6704 8236 12151 13264 16472 24041 24302 29749 32944 48082 48604 58859 59498 96164 97208 117718 118996 192328 194416 235436 237992 347351 384656 470872 475984 694702 862721 941744 1389404 1706911 1725442 2778808 3413822 3450884 5557616 6827644 6901768 10073179 13655288 13803536 20146358 24661921 27310576 40292716 49323842 80585432 98647684 161170864 197295368 394590736 715195709 1430391418 2860782836 5721565672 11443131344