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1135324214444 = 227432663354097
BaseRepresentation
bin10000100001010110100…
…110001011010010101100
311000112110200210210021102
4100201112212023102230
5122100120444330234
62225321042022232
7145011251411330
oct20412646132254
94015420723242
101135324214444
113a8540a15152
12164049947978
13830a3227504
143cd42a8b7c0
151e7ebc24c7e
hex1085698b4ac

1135324214444 has 48 divisors (see below), whose sum is σ = 2324333265408. Its totient is φ = 475072190208.

The previous prime is 1135324214417. The next prime is 1135324214449. The reversal of 1135324214444 is 4444124235311.

It is a super-3 number, since 3×11353242144443 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1135324214398 and 1135324214407.

It is not an unprimeable number, because it can be changed into a prime (1135324214449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3029204 + ... + 3383300.

It is an arithmetic number, because the mean of its divisors is an integer number (48423609696).

Almost surely, 21135324214444 is an apocalyptic number.

1135324214444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1135324214444 is an abundant number, since it is smaller than the sum of its proper divisors (1189009050964).

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

1135324214444 is a wasteful number, since it uses less digits than its factorization.

1135324214444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356814 (or 356812 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

Adding to 1135324214444 its reverse (4444124235311), we get a palindrome (5579448449755).

The spelling of 1135324214444 in words is "one trillion, one hundred thirty-five billion, three hundred twenty-four million, two hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 2663 5326 10652 18641 37282 74564 114509 229018 354097 458036 708194 801563 1416388 1603126 2478679 3206252 4957358 9914716 15226171 30452342 60904684 106583197 213166394 426332788 942960311 1885920622 3771841244 6600722177 13201444354 26402888708 40547293373 81094586746 162189173492 283831053611 567662107222 1135324214444