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340241020413042 = 237472111676348731
BaseRepresentation
bin100110101011100101000100…
…1001010001110010001110010
31122121200201112201022011201010
41031113022021022032101302
5324044002102211204132
63203344322244251350
7131444413444331550
oct11527121112162162
91577621481264633
10340241020413042
1199458451a5a1a1
12321b0ba53a0b56
13117b078a5a75a8
146003a78d02bd0
1529506b2d9b6cc
hex135728928e472

340241020413042 has 128 divisors (see below), whose sum is σ = 798068591198208. Its totient is φ = 94684877179200.

The previous prime is 340241020413031. The next prime is 340241020413043. The reversal of 340241020413042 is 240314020142043.

It is not an unprimeable number, because it can be changed into a prime (340241020413043) 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, 6981999817 + ... + 6982048547.

It is an arithmetic number, because the mean of its divisors is an integer number (6234910868736).

Almost surely, 2340241020413042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340241020413042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399034295599104).

340241020413042 is an abundant number, since it is smaller than the sum of its proper divisors (457827570785166).

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

340241020413042 is a wasteful number, since it uses less digits than its factorization.

340241020413042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65764.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 340241020413042 its reverse (240314020142043), we get a palindrome (580555040555085).

The spelling of 340241020413042 in words is "three hundred forty trillion, two hundred forty-one billion, twenty million, four hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 211 282 329 422 633 658 987 1266 1477 1974 2954 4431 8862 9917 16763 19834 29751 33526 48731 50289 59502 69419 97462 100578 117341 138838 146193 208257 234682 292386 341117 352023 416514 682234 704046 787861 1023351 1575722 2046702 2290357 2363583 3536993 4580714 4727166 5515027 6871071 7073986 10282241 10610979 11030054 13742142 16032499 16545081 20564482 21221958 24758951 30846723 32064998 33090162 48097497 49517902 61693446 71975687 74276853 96194994 143951374 148553706 166238671 215927061 332477342 431854122 483265327 498716013 816877753 966530654 997432026 1163670697 1449795981 1633755506 2327341394 2450633259 2899591962 3382857289 3491012091 4901266518 5718144271 6765714578 6982024182 10148571867 11436288542 17154432813 20297143734 34308865626 38393254391 76786508782 115179763173 172361205883 230359526346 268752780737 344722411766 517083617649 537505561474 806258342211 1034167235298 1206528441181 1612516684422 2413056882362 3619585323543 7239170647086 8100976676501 16201953353002 24302930029503 48605860059006 56706836735507 113413673471014 170120510206521 340241020413042