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23040331341342 = 23731971131614461
BaseRepresentation
bin1010011110100011111101…
…10000111101111000011110
310000120122010022021012110220
411033101332300331320132
511004443044310410332
6121000325422142210
74565415614022360
oct517217660757036
9100518108235426
1023040331341342
117383393422477
122701454421966
13cb1903718653
1459922d732d30
1529e4ea211d2c
hex14f47ec3de1e

23040331341342 has 128 divisors (see below), whose sum is σ = 55408955793408. Its totient is φ = 6249122611200.

The previous prime is 23040331341323. The next prime is 23040331341361. The reversal of 23040331341342 is 24314313304032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23040331341323) and next prime (23040331341361).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13463992 + ... + 15078452.

It is an arithmetic number, because the mean of its divisors is an integer number (432882467136).

Almost surely, 223040331341342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23040331341342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27704477896704).

23040331341342 is an abundant number, since it is smaller than the sum of its proper divisors (32368624452066).

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

23040331341342 is a wasteful number, since it uses less digits than its factorization.

23040331341342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614714.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 23040331341342 its reverse (24314313304032), we get a palindrome (47354644645374).

The spelling of 23040331341342 in words is "twenty-three trillion, forty billion, three hundred thirty-one million, three hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 97 113 186 194 217 226 291 339 434 582 651 678 679 791 1302 1358 1582 2037 2373 3007 3503 4074 4746 6014 7006 9021 10509 10961 18042 21018 21049 21922 24521 32883 42098 49042 63147 65766 73563 76727 126294 147126 153454 230181 339791 460362 679582 1019373 1614461 2038746 2378537 3228922 4757074 4843383 7135611 9686766 11301227 14271222 22602454 33903681 50048291 67807362 100096582 150144873 156602717 182434093 300289746 313205434 350338037 364868186 469808151 547302279 700676074 939616302 1051014111 1094604558 1096219019 1277038651 2102028222 2192438038 2554077302 3288657057 3831115953 4854684227 5655456883 6577314114 7662231906 9709368454 11310913766 14564052681 16966370649 17696107021 29128105362 33932741298 33982789589 35392214042 39588198181 53088321063 67965579178 79176396362 101948368767 106176642126 118764594543 123872749147 203896737534 237529189086 247745498294 371618247441 548579317651 743236494882 1097158635302 1645737952953 3291475905906 3840055223557 7680110447114 11520165670671 23040331341342