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140032122321321 = 3229273311814903
BaseRepresentation
bin11111110101101111000100…
…111010000111100110101001
3200100210221101101001112111200
4133311233010322013212221
5121323241241303240241
61213453511403514413
741331662350356456
oct3765570472074651
9610727341045450
10140032122321321
114068932046973a
12138571b6528a09
136019c846aa519
14268183b55282d
15112c8545db4b6
hex7f5bc4e879a9

140032122321321 has 72 divisors (see below), whose sum is σ = 213036623719296. Its totient is φ = 88614920782080.

The previous prime is 140032122321277. The next prime is 140032122321349. The reversal of 140032122321321 is 123123221230041.

140032122321321 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 3 + 2 + 12 + 2 + 321 + 321 = 666.

It is not a de Polignac number, because 140032122321321 - 218 = 140032122059177 is a prime.

It is a super-3 number, since 3×1400321223213213 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (140032122326321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171431556 + ... + 172246458.

Almost surely, 2140032122321321 is an apocalyptic number.

It is an amenable number.

140032122321321 is a deficient number, since it is larger than the sum of its proper divisors (73004501397975).

140032122321321 is a wasteful number, since it uses less digits than its factorization.

140032122321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815351 (or 815319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140032122321321 its reverse (123123221230041), we get a palindrome (263155343551362).

The spelling of 140032122321321 in words is "one hundred forty trillion, thirty-two billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 29 73 87 219 261 311 657 841 933 2117 2523 2799 6351 7569 9019 19053 22703 27057 61393 68109 81171 184179 204327 261551 552537 658387 784653 814903 1975161 2353959 2444709 5925483 7334127 19093223 23632187 57279669 59487919 70896561 171839007 178463757 212689683 253434833 535391271 685333423 760304499 1725149651 2056000269 2280913497 5175448953 6168000807 7349610157 15526346859 18500742809 22048830471 50029339879 55502228427 66146491413 150088019637 166506685281 213138694553 450264058911 536521541461 639416083659 1609564624383 1918248250977 4828693873149 15559124702369 46677374107107 140032122321321