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240202234005252 = 223714079417716547
BaseRepresentation
bin110110100111011001110000…
…110101010000011100000100
31011111111002221200111222110120
4312213121300311100130010
5222440433133401132002
62210511214414221540
7101411016165144231
oct6647316065203404
91144432850458416
10240202234005252
116a599217044852
1222b349761b48b0
13a404c869521bc
144345bc8b90788
151cb8328417cbc
hexda7670d50704

240202234005252 has 96 divisors (see below), whose sum is σ = 568675657912320. Its totient is φ = 78896686256640.

The previous prime is 240202234005221. The next prime is 240202234005271. The reversal of 240202234005252 is 252500432202042.

It is a super-2 number, since 2×2402022340052522 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14516353243 + ... + 14516369789.

It is an arithmetic number, because the mean of its divisors is an integer number (5923704769920).

Almost surely, 2240202234005252 is an apocalyptic number.

It is an amenable number.

240202234005252 is an abundant number, since it is smaller than the sum of its proper divisors (328473423907068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240202234005252 is a wasteful number, since it uses less digits than its factorization.

240202234005252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24881 (or 24879 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 240202234005252 its reverse (252500432202042), we get a palindrome (492702666207294).

The spelling of 240202234005252 in words is "two hundred forty trillion, two hundred two billion, two hundred thirty-four million, five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 4079 4177 8158 8354 12237 12531 16316 16547 16708 24474 25062 33094 48948 49641 50124 66188 99282 198564 289609 296567 579218 593134 868827 889701 1158436 1174837 1186268 1737654 1779402 2349674 3475308 3524511 3558804 4699348 7049022 14098044 17037983 34075966 51113949 67495213 68151932 69116819 102227898 134990426 138233638 202485639 204455796 207350457 269980852 276467276 404971278 414700914 809942556 829401828 1209696793 2419393586 3629090379 4792160123 4838787172 4907294149 7258180758 9584320246 9814588298 14376480369 14516361516 14721882447 19168640492 19629176596 28752960738 29443764894 57505921476 58887529788 281927504701 563855009402 845782514103 1127710018804 1691565028206 3383130056412 20016852833771 40033705667542 60050558501313 80067411335084 120101117002626 240202234005252