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3552441230340 = 223452975616033
BaseRepresentation
bin110011101100011101111…
…111110110010000000100
3110120121110201220111210000
4303230131333312100010
5431200344423332330
611315545144201300
7514440543144012
oct63543577662004
913517421814700
103552441230340
11114a64450a762
124945a1469230
131c9cbc410b92
14c3d20b5d8b2
15626191d9560
hex33b1dff6404

3552441230340 has 120 divisors (see below), whose sum is σ = 11528420543640. Its totient is φ = 914651523072.

The previous prime is 3552441230339. The next prime is 3552441230483. The reversal of 3552441230340 is 430321442553.

3552441230340 is a `hidden beast` number, since 3 + 5 + 524 + 4 + 123 + 0 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1419953457924 + 2132487772416 = 1191618^2 + 1460304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3552441230295 and 3552441230304.

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 39 ways as a sum of consecutive naturals, for example, 37761037 + ... + 37854996.

It is an arithmetic number, because the mean of its divisors is an integer number (96070171197).

Almost surely, 23552441230340 is an apocalyptic number.

3552441230340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3552441230340 is an abundant number, since it is smaller than the sum of its proper divisors (7975979313300).

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

3552441230340 is a wasteful number, since it uses less digits than its factorization.

3552441230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75616083 (or 75616072 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3552441230340 its reverse (430321442553), we get a palindrome (3982762672893).

The spelling of 3552441230340 in words is "three trillion, five hundred fifty-two billion, four hundred forty-one million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 75616033 151232066 226848099 302464132 378080165 453696198 680544297 756160330 907392396 1134240495 1361088594 1512320660 2041632891 2192864957 2268480990 2722177188 3402721485 4083265782 4385729914 4536961980 6124898673 6578594871 6805442970 8166531564 8771459828 10208164455 10964324785 12249797346 13157189742 13610885940 19735784613 20416328910 21928649570 24499594692 26314379484 30624493365 32892974355 39471569226 40832657820 43857299140 59207353839 61248986730 65785948710 78943138452 98678923065 118414707678 122497973460 131571897420 177622061517 197357846130 236829415356 296036769195 355244123034 394715692260 592073538390 710488246068 888110307585 1184147076780 1776220615170 3552441230340