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1345423646226 = 2311195961729473
BaseRepresentation
bin10011100101000001011…
…111111001111000010010
311202121202212221202122210
4103211001133321320102
5134020411423134401
62510025030012550
7166126565205012
oct23450137717022
94677685852583
101345423646226
11479655633990
121989037a7156
1399b46a08b0a
14491941b5c42
1524ee6b484d6
hex139417f9e12

1345423646226 has 128 divisors (see below), whose sum is σ = 3147540249600. Its totient is φ = 379071221760.

The previous prime is 1345423646221. The next prime is 1345423646227. The reversal of 1345423646226 is 6226463245431.

It is not an unprimeable number, because it can be changed into a prime (1345423646221) 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, 45634626 + ... + 45664098.

It is an arithmetic number, because the mean of its divisors is an integer number (24590158200).

Almost surely, 21345423646226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345423646226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573770124800).

1345423646226 is an abundant number, since it is smaller than the sum of its proper divisors (1802116603374).

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

1345423646226 is a wasteful number, since it uses less digits than its factorization.

1345423646226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30184.

The product of its digits is 4976640, while the sum is 48.

The spelling of 1345423646226 in words is "one trillion, three hundred forty-five billion, four hundred twenty-three million, six hundred forty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 59 66 114 118 177 209 354 418 617 627 649 1121 1234 1254 1298 1851 1947 2242 3363 3702 3894 6726 6787 11723 12331 13574 20361 23446 24662 29473 35169 36403 36993 40722 58946 70338 72806 73986 88419 109209 128953 176838 218418 257906 324203 386859 400433 559987 648406 691657 773718 800866 972609 1119974 1201299 1383314 1679961 1738907 1945218 2074971 2402598 3359922 3477814 4149942 5216721 6159857 7608227 10433442 12319714 15216454 18184841 18479571 19127977 22824681 33039233 36369682 36959142 38255954 45649362 54554523 57383931 66078466 99117699 109109046 114767862 198235398 200033251 345511979 363431563 400066502 600099753 691023958 726863126 1036535937 1072905619 1090294689 1200199506 2073071874 2145811238 2180589378 3218716857 3800631769 6437433714 7601263538 11401895307 11801961809 20385206761 22803790614 23603923618 35405885427 40770413522 61155620283 70811770854 122311240566 224237274371 448474548742 672711823113 1345423646226