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242023113410340 = 2235171791325572973
BaseRepresentation
bin110111000001111001100101…
…101100111100011100100100
31011201221011221220100211011210
4313001321211230330130210
5223210301314013112330
62214423514451231420
7101656410240543363
oct6701714554743444
91151834856324153
10242023113410340
1170130475a99519
122318984aba8570
13a5078b2807572
1443a9da455d7da
151cea89aeeb8b0
hexdc1e65b3c724

242023113410340 has 96 divisors (see below), whose sum is σ = 721535881207680. Its totient is φ = 60403709188096.

The previous prime is 242023113410339. The next prime is 242023113410341. The reversal of 242023113410340 is 43014311320242.

It is an interprime number because it is at equal distance from previous prime (242023113410339) and next prime (242023113410341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242023113410298 and 242023113410307.

It is not an unprimeable number, because it can be changed into a prime (242023113410341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662603907 + ... + 662969066.

It is an arithmetic number, because the mean of its divisors is an integer number (7515998762580).

Almost surely, 2242023113410340 is an apocalyptic number.

242023113410340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242023113410340 is an abundant number, since it is smaller than the sum of its proper divisors (479512767797340).

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

242023113410340 is a wasteful number, since it uses less digits than its factorization.

242023113410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325573181 (or 1325573179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 242023113410340 its reverse (43014311320242), we get a palindrome (285037424730582).

The spelling of 242023113410340 in words is "two hundred forty-two trillion, twenty-three billion, one hundred thirteen million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 340 358 510 537 716 895 1020 1074 1790 2148 2685 3043 3580 5370 6086 9129 10740 12172 15215 18258 30430 36516 45645 60860 91290 182580 1325572973 2651145946 3976718919 5302291892 6627864865 7953437838 13255729730 15906875676 19883594595 22534740541 26511459460 39767189190 45069481082 67604221623 79534378380 90138962164 112673702705 135208443246 225347405410 237277562167 270416886492 338021108115 450694810820 474555124334 676042216230 711832686501 949110248668 1186387810835 1352084432460 1423665373002 2372775621670 2847330746004 3559163432505 4033718556839 4745551243340 7118326865010 8067437113678 12101155670517 14236653730020 16134874227356 20168592784195 24202311341034 40337185568390 48404622682068 60505778352585 80674371136780 121011556705170 242023113410340