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131441440534240 = 25510094451182921
BaseRepresentation
bin11101111000101110011000…
…010111110010111011100000
3122020101200022222200100020011
4131320232120113302323200
5114212014032234043430
61143315210355054304
736454221300116554
oct3570563027627340
9566350288610204
10131441440534240
1138977002568221
12128aa2945a1394
135845b4a812b25
142465b2a3d9864
15102e1608e022a
hex778b985f2ee0

131441440534240 has 96 divisors (see below), whose sum is σ = 310909699084320. Its totient is φ = 52512380928000.

The previous prime is 131441440534219. The next prime is 131441440534253. The reversal of 131441440534240 is 42435044144131.

It is a super-2 number, since 2×1314414405342402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 131441440534193 and 131441440534202.

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, 718477980 + ... + 718660900.

It is an arithmetic number, because the mean of its divisors is an integer number (3238642698795).

Almost surely, 2131441440534240 is an apocalyptic number.

131441440534240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131441440534240 is an abundant number, since it is smaller than the sum of its proper divisors (179468258550080).

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

131441440534240 is a wasteful number, since it uses less digits than its factorization.

131441440534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188396 (or 188388 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 131441440534240 its reverse (42435044144131), we get a palindrome (173876484678371).

The spelling of 131441440534240 in words is "one hundred thirty-one trillion, four hundred forty-one billion, four hundred forty million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1009 2018 4036 4451 5045 8072 8902 10090 16144 17804 20180 22255 32288 35608 40360 44510 71216 80720 89020 142432 161440 178040 182921 356080 365842 712160 731684 914605 1463368 1829210 2926736 3658420 4491059 5853472 7316840 8982118 14633680 17964236 22455295 29267360 35928472 44910590 71856944 89821180 143713888 179642360 184567289 359284720 369134578 718569440 738269156 814181371 922836445 1476538312 1628362742 1845672890 2953076624 3256725484 3691345780 4070906855 5906153248 6513450968 7382691560 8141813710 13026901936 14765383120 16283627420 26053803872 29530766240 32567254840 65134509680 130269019360 821509003339 1643018006678 3286036013356 4107545016695 6572072026712 8215090033390 13144144053424 16430180066780 26288288106848 32860360133560 65720720267120 131441440534240