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11420443332 = 22324789181419
BaseRepresentation
bin10101010001011011…
…00010001011000100
31002110220120122001200
422220231202023010
5141342113141312
65125123422500
7553003111104
oct125055421304
932426518050
1011420443332
1149305a7121
122268824a30
13110007609c
147a4a77204
1546c9400dc
hex2a8b622c4

11420443332 has 144 divisors (see below), whose sum is σ = 30050092800. Its totient is φ = 3654858240.

The previous prime is 11420443303. The next prime is 11420443343. The reversal of 11420443332 is 23334402411.

It is a junction number, because it is equal to n+sod(n) for n = 11420443296 and 11420443305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27256219 + ... + 27256637.

It is an arithmetic number, because the mean of its divisors is an integer number (208681200).

Almost surely, 211420443332 is an apocalyptic number.

11420443332 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 11420443332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025046400).

11420443332 is an abundant number, since it is smaller than the sum of its proper divisors (18629649468).

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

11420443332 is a wasteful number, since it uses less digits than its factorization.

11420443332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11420443332 its reverse (23334402411), we get a palindrome (34754845743).

The spelling of 11420443332 in words is "eleven billion, four hundred twenty million, four hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 89 94 141 178 181 188 267 282 356 362 419 423 534 543 564 724 801 838 846 1068 1086 1257 1602 1629 1676 1692 2172 2514 3204 3258 3771 4183 5028 6516 7542 8366 8507 12549 15084 16109 16732 17014 19693 25098 25521 32218 34028 37291 37647 39386 48327 50196 51042 59079 64436 74582 75294 75839 76563 78772 96654 102084 111873 118158 144981 149164 150588 151678 153126 177237 193308 223746 227517 236316 289962 303356 306252 335619 354474 447492 455034 579924 671238 682551 708948 757123 910068 1342476 1365102 1514246 1752677 2271369 2730204 3028492 3505354 3564433 4542738 5258031 6749671 6814107 7010708 7128866 9085476 10516062 10693299 13499342 13628214 14257732 15774093 20249013 21032124 21386598 26998684 27256428 31548186 32079897 40498026 42773196 60747039 63096372 64159794 80996052 121494078 128319588 242988156 317234537 634469074 951703611 1268938148 1903407222 2855110833 3806814444 5710221666 11420443332