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14343222131040 = 2535112716519343
BaseRepresentation
bin1101000010111000101010…
…1010001111100101100000
31212210012100210220201211210
43100232022222033211200
53334444404331143130
650301104004310120
73010156262336655
oct320561252174540
955705323821753
1014343222131040
11462aa20a69740
1217379900a2340
1380073855200a
14378303a87c2c
1519d177db45b0
hexd0b8aa8f960

14343222131040 has 96 divisors (see below), whose sum is σ = 49288526977536. Its totient is φ = 3477144757760.

The previous prime is 14343222131009. The next prime is 14343222131087. The reversal of 14343222131040 is 4013122234341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×143432221310402 (a number of 27 digits) contains 22 as substring.

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 = 14343222130989 and 14343222131007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358254392 + ... + 1358264951.

It is an arithmetic number, because the mean of its divisors is an integer number (513422156016).

Almost surely, 214343222131040 is an apocalyptic number.

14343222131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14343222131040 is an abundant number, since it is smaller than the sum of its proper divisors (34945304846496).

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

14343222131040 is a wasteful number, since it uses less digits than its factorization.

14343222131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716519372 (or 2716519364 counting only the distinct ones).

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

Adding to 14343222131040 its reverse (4013122234341), we get a palindrome (18356344365381).

The spelling of 14343222131040 in words is "fourteen trillion, three hundred forty-three billion, two hundred twenty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2716519343 5433038686 8149558029 10866077372 13582596715 16299116058 21732154744 27165193430 29881712773 32598232116 40747790145 43464309488 54330386860 59763425546 65196464232 81495580290 86928618976 89645138319 108660773720 119526851092 130392928464 149408563865 162991160580 179290276638 217321547440 239053702184 260785856928 298817127730 325982321160 358580553276 434643094880 448225691595 478107404368 597634255460 651964642320 717161106552 896451383190 956214808736 1195268510920 1303929284640 1434322213104 1792902766380 2390537021840 2868644426208 3585805532760 4781074043680 7171611065520 14343222131040