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140223214101321 = 33133717336230351
BaseRepresentation
bin11111111000100001000010…
…110111011010001101001001
3200101111012121212221202111000
4133320201002313122031021
5121334404120302220241
61214121353311525213
741351535651610551
oct3770410267321511
9611435555852430
10140223214101321
114075237082634a
1213888246829809
136031cb92725b0
14268aba84b0161
1511327da962eb6
hex7f8842dda349

140223214101321 has 64 divisors (see below), whose sum is σ = 229896998231040. Its totient is φ = 83910553171200.

The previous prime is 140223214101251. The next prime is 140223214101349. The reversal of 140223214101321 is 123101412322041.

140223214101321 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 321 + 4 + 10 + 1 + 321 = 666.

140223214101321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 140223214101321 - 217 = 140223213970249 is a prime.

It is a super-3 number, since 3×1402232141013213 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140223214101121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19391296 + ... + 25621646.

It is an arithmetic number, because the mean of its divisors is an integer number (3592140597360).

Almost surely, 2140223214101321 is an apocalyptic number.

It is an amenable number.

140223214101321 is a deficient number, since it is larger than the sum of its proper divisors (89673784129719).

140223214101321 is a wasteful number, since it uses less digits than its factorization.

140223214101321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232143 (or 6232137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 140223214101321 its reverse (123101412322041), we get a palindrome (263324626423362).

The spelling of 140223214101321 in words is "one hundred forty trillion, two hundred twenty-three billion, two hundred fourteen million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1443 1733 4329 5199 12987 15597 22529 46791 64121 67587 192363 202761 577089 608283 833573 1731267 2500719 6230351 7502157 18691053 22506471 56073159 80994563 168219477 230522987 242983689 691568961 728951067 2074706883 2186853201 2996798831 6224120649 8990396493 10797198283 26971189479 32391594849 80913568437 97174784547 140363577679 291524353641 399496336471 421090733037 1198489009413 1263272199111 3595467028239 3789816597333 5193452374123 10786401084717 15580357122369 46741071367107 140223214101321