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132212444224 = 2671915719887
BaseRepresentation
bin111101100100001111…
…0011100110001000000
3110122021010001001112111
41323020132130301000
54131232341203344
6140423151305104
712360230143030
oct1731036346100
9418233031474
10132212444224
1151086529233
122175981b194
13c610372423
1465832658c0
15368c1dc834
hex1ec879cc40

132212444224 has 112 divisors (see below), whose sum is σ = 315852779520. Its totient is φ = 53640645120.

The previous prime is 132212444213. The next prime is 132212444227. The reversal of 132212444224 is 422444212231.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (132212444227) 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, 13367409 + ... + 13377295.

Almost surely, 2132212444224 is an apocalyptic number.

132212444224 is a gapful number since it is divisible by the number (14) 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 132212444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157926389760).

132212444224 is an abundant number, since it is smaller than the sum of its proper divisors (183640335296).

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

132212444224 is a wasteful number, since it uses less digits than its factorization.

132212444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496 (or 11486 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

Adding to 132212444224 its reverse (422444212231), we get a palindrome (554656656455).

The spelling of 132212444224 in words is "one hundred thirty-two billion, two hundred twelve million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1571 2128 3142 4256 6284 8512 9887 10997 12568 19774 21994 25136 29849 39548 43988 50272 59698 69209 79096 87976 100544 119396 138418 158192 175952 187853 208943 238792 276836 316384 351904 375706 417886 477584 553672 632768 703808 751412 835772 955168 1107344 1314971 1502824 1671544 1910336 2214688 2629942 3005648 3343088 4429376 5259884 6011296 6686176 10519768 12022592 13372352 15532477 21039536 31064954 42079072 62129908 84158144 108727339 124259816 217454678 248519632 295117063 434909356 497039264 590234126 869818712 994078528 1180468252 1739637424 2065819441 2360936504 3479274848 4131638882 4721873008 6958549696 8263277764 9443746016 16526555528 18887492032 33053111056 66106222112 132212444224