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11232042543440 = 245829942117977
BaseRepresentation
bin1010001101110010100111…
…1001111110100101010000
31110202202212100122020000222
42203130221321332211100
52433011210342342230
635515532404332212
72236326325231325
oct243345171764520
943682770566028
1011232042543440
113640534219274
121314a183a4068
1363623c029ab4
142ab8c3072b4c
15147287c206e5
hexa3729e7e950

11232042543440 has 80 divisors (see below), whose sum is σ = 26150229976080. Its totient is φ = 4486671544320.

The previous prime is 11232042543431. The next prime is 11232042543479. The reversal of 11232042543440 is 4434524023211.

It can be written as a sum of positive squares in 8 ways, for example, as 160531640896 + 11071510902544 = 400664^2 + 3327388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112320425434402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11232042543440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624791732 + ... + 624809708.

It is an arithmetic number, because the mean of its divisors is an integer number (326877874701).

Almost surely, 211232042543440 is an apocalyptic number.

11232042543440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232042543440 is an abundant number, since it is smaller than the sum of its proper divisors (14918187432640).

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

11232042543440 is a wasteful number, since it uses less digits than its factorization.

11232042543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28240 (or 28234 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 11232042543440 its reverse (4434524023211), we get a palindrome (15666566566651).

The spelling of 11232042543440 in words is "eleven trillion, two hundred thirty-two billion, forty-two million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 829 1658 3316 4145 6632 8290 9421 13264 16580 17977 18842 33160 35954 37684 47105 66320 71908 75368 89885 94210 143816 150736 179770 188420 287632 359540 376840 719080 753680 1438160 7810009 14902933 15620018 29805866 31240036 39050045 59611732 62480072 74514665 78100090 119223464 124960144 149029330 156200180 169361317 238446928 298058660 312400360 338722634 596117320 624800720 677445268 846806585 1192234640 1354890536 1693613170 2709781072 3387226340 6774452680 13548905360 140400531793 280801063586 561602127172 702002658965 1123204254344 1404005317930 2246408508688 2808010635860 5616021271720 11232042543440