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130340441441 = 73679376053
BaseRepresentation
bin111100101100011100…
…1010100110101100001
3110110102122112110111002
41321120321110311201
54113414123111231
6135513320001345
712262646321000
oct1713071246541
9413378473432
10130340441441
11503058658a1
1221316900255
13c3a2592082
1464467a8c37
1535ccbb00cb
hex1e58e54d61

130340441441 has 32 divisors (see below), whose sum is σ = 154459334400. Its totient is φ = 109917295488.

The previous prime is 130340441431. The next prime is 130340441443. The reversal of 130340441441 is 144144043031.

It is not a de Polignac number, because 130340441441 - 234 = 113160572257 is a prime.

130340441441 is a modest number, since divided by 441441 gives 130340 as remainder.

It is not an unprimeable number, because it can be changed into a prime (130340441443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21530171 + ... + 21536223.

It is an arithmetic number, because the mean of its divisors is an integer number (4826854200).

Almost surely, 2130340441441 is an apocalyptic number.

It is an amenable number.

130340441441 is a deficient number, since it is larger than the sum of its proper divisors (24118892959).

130340441441 is an frugal number, since it uses more digits than its factorization.

130340441441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 130340441441 its reverse (144144043031), we get a palindrome (274484484472).

The spelling of 130340441441 in words is "one hundred thirty billion, three hundred forty million, four hundred forty-one thousand, four hundred forty-one".

Divisors: 1 7 49 67 343 469 937 3283 6053 6559 22981 42371 45913 62779 296597 321391 405551 439453 2076179 2838857 3076171 5671661 19871999 21533197 39701627 139103993 277911389 380001287 1945379723 2660009009 18620063063 130340441441