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14035002323040 = 2532510196500291
BaseRepresentation
bin1100110000111100011101…
…0100111111000001100000
31211200201210102222012022100
43030033013110333001200
53314422141043314130
645503331400210400
72645665304240436
oct314170724770140
954621712865270
1014035002323040
114521235a12a96
1216a80b1a69a00
137aa6587ac0ba
14367424dc0d56
15195138c8bc60
hexcc3c753f060

14035002323040 has 144 divisors (see below), whose sum is σ = 48368648358576. Its totient is φ = 3705611136000.

The previous prime is 14035002323021. The next prime is 14035002323093. The reversal of 14035002323040 is 4032320053041.

14035002323040 is a `hidden beast` number, since 1 + 4 + 0 + 350 + 0 + 2 + 3 + 2 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14035002322995 and 14035002323013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48104706 + ... + 48395585.

It is an arithmetic number, because the mean of its divisors is an integer number (335893391379).

Almost surely, 214035002323040 is an apocalyptic number.

14035002323040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14035002323040 is an abundant number, since it is smaller than the sum of its proper divisors (34333646035536).

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

14035002323040 is a wasteful number, since it uses less digits than its factorization.

14035002323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96500413 (or 96500402 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 14035002323040 its reverse (4032320053041), we get a palindrome (18067322376081).

The spelling of 14035002323040 in words is "fourteen trillion, thirty-five billion, two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 16160 18180 24240 29088 36360 48480 72720 145440 96500291 193000582 289500873 386001164 482501455 579001746 772002328 868502619 965002910 1158003492 1447504365 1544004656 1737005238 1930005820 2316006984 2895008730 3088009312 3474010476 3860011640 4342513095 4632013968 5790017460 6948020952 7720023280 8685026190 9264027936 9746529391 11580034920 13896041904 15440046560 17370052380 19493058782 23160069840 27792083808 29239588173 34740104760 38986117564 46320139680 48732646955 58479176346 69480209520 77972235128 87718764519 97465293910 116958352692 138960419040 146197940865 155944470256 175437529038 194930587820 233916705384 292395881730 311888940512 350875058076 389861175640 438593822595 467833410768 584791763460 701750116152 779722351280 877187645190 935666821536 1169583526920 1403500232304 1559444702560 1754375290380 2339167053840 2807000464608 3508750580760 4678334107680 7017501161520 14035002323040