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240010341342440 = 235235938311544931
BaseRepresentation
bin110110100100100111000011…
…001000110101110011101000
31011110210202122100121200210212
4312210213003020311303220
5222424312134340424230
62210243121220400252
7101361114000341624
oct6644470310656350
91143722570550725
10240010341342440
116a5248a56a4019
1222b03741846088
13a3bcb55188486
14433a7c3718184
151cb3346ae2895
hexda49c3235ce8

240010341342440 has 128 divisors (see below), whose sum is σ = 574549703884800. Its totient is φ = 90037893116160.

The previous prime is 240010341342419. The next prime is 240010341342451. The reversal of 240010341342440 is 44243143010042.

It is a super-2 number, since 2×2400103413424402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240010341342397 and 240010341342406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15016775 + ... + 26561705.

It is an arithmetic number, because the mean of its divisors is an integer number (4488669561600).

Almost surely, 2240010341342440 is an apocalyptic number.

240010341342440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240010341342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287274851942400).

240010341342440 is an abundant number, since it is smaller than the sum of its proper divisors (334539362542360).

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

240010341342440 is a wasteful number, since it uses less digits than its factorization.

240010341342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545407 (or 11545403 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 240010341342440 its reverse (44243143010042), we get a palindrome (284253484352482).

The spelling of 240010341342440 in words is "two hundred forty trillion, ten billion, three hundred forty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 383 460 472 590 766 920 1180 1357 1532 1915 2360 2714 3064 3830 5428 6785 7660 8809 10856 13570 15320 17618 22597 27140 35236 44045 45194 54280 70472 88090 90388 112985 176180 180776 225970 352360 451940 519731 903880 1039462 2078924 2598655 4157848 5197310 10394620 11544931 20789240 23089862 46179724 57724655 92359448 115449310 230898620 265533413 461797240 531066826 681150929 1062133652 1327667065 1362301858 2124267304 2655334130 2724603716 3405754645 4421708573 5310668260 5449207432 6811509290 8843417146 10621336520 13623018580 15666471367 17686834292 22108542865 27246037160 31332942734 35373668584 44217085730 62665885468 78332356835 88434171460 101699297179 125331770936 156664713670 176868342920 203398594358 260880805807 313329427340 406797188716 508496485895 521761611614 626658854680 813594377432 1016992971790 1043523223228 1304404029035 2033985943580 2087046446456 2608808058070 4067971887160 5217616116140 6000258533561 10435232232280 12000517067122 24001034134244 30001292667805 48002068268488 60002585335610 120005170671220 240010341342440