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131021444401424 = 2416575236394379
BaseRepresentation
bin11101110010100111001110…
…101001101100100100010000
3122011220112020201212011202122
4131302213032221230210100
5114133123404231321144
61142354230504233412
736411662350646333
oct3562471651544420
9564815221764678
10131021444401424
1138824978708325
1212840a0076b868
135815366552145
14244d68667a61a
15102327d7917ee
hex7729cea6c910

131021444401424 has 40 divisors (see below), whose sum is σ = 254014791819360. Its totient is φ = 65469242435328.

The previous prime is 131021444401399. The next prime is 131021444401427. The reversal of 131021444401424 is 424104444120131.

It is a super-3 number, since 3×1310214444014243 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131021444401427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1388200667 + ... + 1388295045.

It is an arithmetic number, because the mean of its divisors is an integer number (6350369795484).

Almost surely, 2131021444401424 is an apocalyptic number.

It is an amenable number.

131021444401424 is a deficient number, since it is larger than the sum of its proper divisors (122993347417936).

131021444401424 is a wasteful number, since it uses less digits than its factorization.

131021444401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148407 (or 148401 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 131021444401424 its reverse (424104444120131), we get a palindrome (555125888521555).

The spelling of 131021444401424 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty-four million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 1657 3314 6628 13256 26512 52363 94379 104726 188758 209452 377516 418904 755032 837808 1510064 86765491 156386003 173530982 312772006 347061964 625544012 694123928 1251088024 1388247856 2502176048 4941967577 9883935154 19767870308 39535740616 79071481232 8188840275089 16377680550178 32755361100356 65510722200712 131021444401424