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11445544344 = 23313257349409
BaseRepresentation
bin10101010100011010…
…10010010110011000
31002112122210220011210
422222031102112120
5141420024404334
65131421423120
7553426343643
oct125215222630
932478726153
1011445544344
114943790963
12227510aaa0
131105324260
147a812ca5a
1546ec4c5e9
hex2aa352598

11445544344 has 128 divisors (see below), whose sum is σ = 31099320000. Its totient is φ = 3489398784.

The previous prime is 11445544261. The next prime is 11445544361. The reversal of 11445544344 is 44344554411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27984012 + ... + 27984420.

Almost surely, 211445544344 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 11445544344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549660000).

11445544344 is an abundant number, since it is smaller than the sum of its proper divisors (19653775656).

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

11445544344 is a wasteful number, since it uses less digits than its factorization.

11445544344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

The spelling of 11445544344 in words is "eleven billion, four hundred forty-five million, five hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 349 409 514 698 771 818 1028 1047 1227 1396 1542 1636 2056 2094 2454 2792 3084 3272 3341 4188 4537 4908 5317 6168 6682 8376 9074 9816 10023 10634 13364 13611 15951 18148 20046 21268 26728 27222 31902 36296 40092 42536 54444 63804 80184 89693 105113 108888 127608 142741 179386 210226 269079 285482 315339 358772 420452 428223 538158 570964 630678 717544 840904 856446 1076316 1141928 1166009 1261356 1366469 1712892 1855633 2152632 2332018 2522712 2732938 3425784 3498027 3711266 4099407 4664036 5465876 5566899 6996054 7422532 8198814 9328072 10931752 11133798 13992108 14845064 16397628 22267596 27984216 32795256 36684437 44535192 73368874 110053311 146737748 220106622 293475496 440213244 476897681 880426488 953795362 1430693043 1907590724 2861386086 3815181448 5722772172 11445544344