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130441031241440 = 2551942908233961
BaseRepresentation
bin11101101010001010101011…
…010101001100111011100000
3122002212001002202002200120112
4131222022223111030323200
5114044121212444211230
61141231441004030452
736322024232333213
oct3552125325147340
9562761082080515
10130441031241440
11386208045aa617
1212768419532428
1357a26c8800cca
14242d54588d77a
15101310d27bd95
hex76a2ab54cee0

130441031241440 has 48 divisors (see below), whose sum is σ = 324386248752720. Its totient is φ = 49430285521920.

The previous prime is 130441031241439. The next prime is 130441031241473. The reversal of 130441031241440 is 44142130144031.

It is a super-3 number, since 3×1304410312414403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 130441031241397 and 130441031241406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21454113941 + ... + 21454120020.

It is an arithmetic number, because the mean of its divisors is an integer number (6758046849015).

Almost surely, 2130441031241440 is an apocalyptic number.

130441031241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441031241440 is an abundant number, since it is smaller than the sum of its proper divisors (193945217511280).

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

130441031241440 is a wasteful number, since it uses less digits than its factorization.

130441031241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42908233995 (or 42908233987 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 130441031241440 its reverse (44142130144031), we get a palindrome (174583161385471).

The spelling of 130441031241440 in words is "one hundred thirty trillion, four hundred forty-one billion, thirty-one million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 42908233961 85816467922 171632935844 214541169805 343265871688 429082339610 686531743376 815256445259 858164679220 1373063486752 1630512890518 1716329358440 3261025781036 3432658716880 4076282226295 6522051562072 6865317433760 8152564452590 13044103124144 16305128905180 26088206248288 32610257810360 65220515620720 130441031241440