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11451314443324 = 22761101313212081
BaseRepresentation
bin1010011010100011011110…
…0001111001010000111100
31111112201211210101212012011
42212220313201321100330
53000104242444141244
640204354454221004
72261221150514350
oct246506741712074
944481753355164
1011451314443324
113715525517058
12134b412054764
13650b14c26212
142b8364869460
1514cd1d03c434
hexa6a3787943c

11451314443324 has 96 divisors (see below), whose sum is σ = 23583776291712. Its totient is φ = 4764165120000.

The previous prime is 11451314443253. The next prime is 11451314443339. The reversal of 11451314443324 is 42334441315411.

11451314443324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114513144433242 (a number of 27 digits) contains 22 as substring.

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, 53888964 + ... + 54101044.

It is an arithmetic number, because the mean of its divisors is an integer number (245664336372).

Almost surely, 211451314443324 is an apocalyptic number.

11451314443324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11451314443324 is an abundant number, since it is smaller than the sum of its proper divisors (12132461848388).

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

11451314443324 is a wasteful number, since it uses less digits than its factorization.

11451314443324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212567 (or 212565 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

Adding to 11451314443324 its reverse (42334441315411), we get a palindrome (53785755758735).

The spelling of 11451314443324 in words is "eleven trillion, four hundred fifty-one billion, three hundred fourteen million, four hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 61 101 122 202 244 313 404 427 626 707 854 1252 1414 1708 2191 2828 4382 6161 8764 12322 19093 24644 31613 38186 43127 63226 76372 86254 126452 133651 172508 212081 221291 267302 424162 442582 534604 848324 885164 1484567 1928393 2969134 3856786 5938268 7713572 12936941 13498751 21420181 25873882 26997502 42840362 51747764 53995004 66381353 85680724 90558587 132762706 149941267 181117174 265525412 299882534 362234348 464669471 599765068 929338942 1306631041 1858677884 2613262082 4049262533 5226524164 6704516653 8098525066 9146417287 13409033306 16197050132 18292834574 26818066612 28344837731 36585669148 46931616571 56689675462 93863233142 113379350924 187726466284 408975515833 817951031666 1635902063332 2862828610831 5725657221662 11451314443324