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4201132323440 = 245135373175181
BaseRepresentation
bin111101001000100110111…
…111111111001001110000
3112212121212010122101011202
4331020212333333021300
51022312404333322230
612533550141430332
7612343655356463
oct75104677771160
915777763571152
104201132323440
11137a765745168
1257a25a86b3a8
1324621b8a4c80
1410749b9752da
1574433a4ca45
hex3d226fff270

4201132323440 has 80 divisors (see below), whose sum is σ = 10519324699296. Its totient is φ = 1551137817600.

The previous prime is 4201132323397. The next prime is 4201132323491. The reversal of 4201132323440 is 443232311024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55842650 + ... + 55917830.

Almost surely, 24201132323440 is an apocalyptic number.

4201132323440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201132323440 is an abundant number, since it is smaller than the sum of its proper divisors (6318192375856).

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

4201132323440 is a wasteful number, since it uses less digits than its factorization.

4201132323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128938 (or 128932 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 4201132323440 its reverse (443232311024), we get a palindrome (4644364634464).

The spelling of 4201132323440 in words is "four trillion, two hundred one billion, one hundred thirty-two million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 53731 75181 107462 150362 214924 268655 300724 375905 429848 537310 601448 698503 751810 859696 977353 1074620 1202896 1397006 1503620 1954706 2149240 2794012 3007240 3492515 3909412 4298480 4886765 5588024 6014480 6985030 7818824 9773530 11176048 13970060 15637648 19547060 27940120 39094120 55880240 78188240 4039550311 8079100622 16158201244 20197751555 32316402488 40395503110 52514154043 64632804976 80791006220 105028308086 161582012440 210056616172 262570770215 323164024880 420113232344 525141540430 840226464688 1050283080860 2100566161720 4201132323440