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140022343102221 = 323125744913013343
BaseRepresentation
bin11111110101100101111110…
…000001010110111100001101
3200100210000010211201201211200
4133311211332001112330031
5121323111224313232341
61213445213145140113
741331165123362556
oct3765457601267415
9610700124651750
10140022343102221
1140685162340688
121385532748a639
136019086672048
14268119086132d
15112c480cdedb6
hex7f597e056f0d

140022343102221 has 96 divisors (see below), whose sum is σ = 210282341068800. Its totient is φ = 89689227264000.

The previous prime is 140022343102219. The next prime is 140022343102247. The reversal of 140022343102221 is 122201343220041.

140022343102221 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 2 + 3 + 431 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 140022343102221 - 21 = 140022343102219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140022343102261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41885234076 + ... + 41885237418.

It is an arithmetic number, because the mean of its divisors is an integer number (2190441052800).

Almost surely, 2140022343102221 is an apocalyptic number.

It is an amenable number.

140022343102221 is a deficient number, since it is larger than the sum of its proper divisors (70259997966579).

140022343102221 is a wasteful number, since it uses less digits than its factorization.

140022343102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140022343102221 its reverse (122201343220041), we get a palindrome (262223686322262).

The spelling of 140022343102221 in words is "one hundred forty trillion, twenty-two billion, three hundred forty-three million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 31 93 257 279 449 771 1301 1347 2313 3343 3903 4041 7967 10029 11709 13919 23901 30087 40331 41757 71703 103633 115393 120993 125271 310899 334357 346179 362979 584149 859151 932697 1003071 1038537 1501007 1752447 2577453 3009213 3577183 4349243 4503021 5257341 7732359 10365067 10731549 13047729 13509063 18108619 26633681 31095201 32194647 39143187 46531217 54325857 79901043 93285603 134826533 139593651 150126293 162977571 239703129 385758799 404479599 418780953 450378879 1117755451 1157276397 1213438797 1351136637 1952810107 3353266353 3471829191 4653915083 5858430321 10059799059 11958522769 13961745249 17575290963 34650418981 35875568307 41885235747 60537113317 103951256943 107626704921 181611339951 311853770829 501872197499 544834019853 1505616592497 4516849777491 15558038122469 46674114367407 140022343102221