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140032122010441 = 1722943235925171
BaseRepresentation
bin11111110101101111000100…
…111000111011101101001001
3200100210221101100110202001121
4133311233010320323231021
5121323241241213313231
61213453511353115241
741331662344623223
oct3765570470735511
9610727340422047
10140032122010441
1140689320277111
12138571b63b8b21
136019c845cbb7b
14268183b4b1413
15112c854579311
hex7f5bc4e3bb49

140032122010441 has 72 divisors (see below), whose sum is σ = 157990316097600. Its totient is φ = 123939837826560.

The previous prime is 140032122010439. The next prime is 140032122010483. The reversal of 140032122010441 is 144010221230041.

It is not a de Polignac number, because 140032122010441 - 21 = 140032122010439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140032122010411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5563219786 + ... + 5563244956.

It is an arithmetic number, because the mean of its divisors is an integer number (2194309945800).

Almost surely, 2140032122010441 is an apocalyptic number.

It is an amenable number.

140032122010441 is a deficient number, since it is larger than the sum of its proper divisors (17958194087159).

140032122010441 is a wasteful number, since it uses less digits than its factorization.

140032122010441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25679 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 140032122010441 its reverse (144010221230041), we get a palindrome (284042343240482).

The spelling of 140032122010441 in words is "one hundred forty trillion, thirty-two billion, one hundred twenty-two million, ten thousand, four hundred forty-one".

Divisors: 1 17 29 43 289 359 493 731 1247 1849 6103 8381 10411 12427 15437 21199 25171 31433 53621 103751 176987 262429 360383 427907 447673 534361 663791 729959 911557 1082353 3008779 4461293 7274419 7610441 9036389 11284447 12409303 15496469 18400001 19249939 31388237 46541179 129377497 153618613 191835599 210958151 262055281 312800017 327248963 388564727 533600029 791200043 1349694191 2611516421 4454939777 5563232371 6605600359 9071200493 11268377083 13450400731 16708283261 22944801247 75733976209 112295206103 191562410411 284040815437 390061621199 484540214569 3256560976987 4828693862429 8237183647673 140032122010441