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11044443432 = 2331125037561
BaseRepresentation
bin10100100100100110…
…01101010100101000
31001111201001212011110
422102103031110220
5140104334142212
65023532430320
7540456135351
oct122223152450
931451055143
1011044443432
114758333900
1221829183a0
1310701b8839
1476ab5cd28
1544991ca3c
hex2924cd528

11044443432 has 96 divisors (see below), whose sum is σ = 30413759040. Its totient is φ = 3339705600.

The previous prime is 11044443407. The next prime is 11044443451. The reversal of 11044443432 is 23434444011.

It is a self number, because there is not a number n which added to its sum of digits gives 11044443432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456932 + ... + 1464492.

It is an arithmetic number, because the mean of its divisors is an integer number (316809990).

Almost surely, 211044443432 is an apocalyptic number.

11044443432 is a gapful number since it is divisible by the number (12) 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 11044443432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206879520).

11044443432 is an abundant number, since it is smaller than the sum of its proper divisors (19369315608).

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

11044443432 is a wasteful number, since it uses less digits than its factorization.

11044443432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11044443432 its reverse (23434444011), we get a palindrome (34478887443).

The spelling of 11044443432 in words is "eleven billion, forty-four million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 503 726 968 1006 1452 1509 2012 2904 3018 4024 5533 6036 7561 11066 12072 15122 16599 22132 22683 30244 33198 44264 45366 60488 60863 66396 83171 90732 121726 132792 166342 181464 182589 243452 249513 332684 365178 486904 499026 665368 730356 914881 998052 1460712 1829762 1996104 2744643 3659524 3803183 5489286 7319048 7606366 10978572 11409549 15212732 21957144 22819098 30425464 41835013 45638196 83670026 91276392 125505039 167340052 251010078 334680104 460185143 502020156 920370286 1004040312 1380555429 1840740572 2761110858 3681481144 5522221716 11044443432