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1345441212234 = 232783931814001
BaseRepresentation
bin10011100101000010100…
…010111010011101001010
311202121211010000012200200
4103211002202322131022
5134020430422242414
62510030454313030
7166130200415610
oct23450242723512
94677733005620
101345441212234
11479664541549
12198909658776
1399b4a5493c2
14491966696b0
1524ee8468109
hex139428ba74a

1345441212234 has 96 divisors (see below), whose sum is σ = 3337422117120. Its totient is φ = 383736960000.

The previous prime is 1345441212233. The next prime is 1345441212281. The reversal of 1345441212234 is 4322121445431.

1345441212234 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 412 + 1 + 2 + 234 = 666.

It is not an unprimeable number, because it can be changed into a prime (1345441212233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336274234 + ... + 336278234.

It is an arithmetic number, because the mean of its divisors is an integer number (34764813720).

Almost surely, 21345441212234 is an apocalyptic number.

1345441212234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1345441212234 is an abundant number, since it is smaller than the sum of its proper divisors (1991980904886).

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

1345441212234 is a wasteful number, since it uses less digits than its factorization.

1345441212234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8033 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 1345441212234 its reverse (4322121445431), we get a palindrome (5667562657665).

The spelling of 1345441212234 in words is "one trillion, three hundred forty-five billion, four hundred forty-one million, two hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 839 1678 2517 3181 4001 5034 5873 6362 7551 8002 9543 11746 12003 15102 17619 19086 22267 24006 28007 28629 35238 36009 44534 52857 56014 57258 66801 72018 84021 105714 133602 168042 200403 252063 400806 504126 2668859 3356839 5337718 6713678 8006577 10070517 12727181 16013154 18682013 20141034 23497873 24019731 25454362 30211551 37364026 38181543 46995746 48039462 56046039 60423102 70493619 76363086 89090267 112092078 114544629 140987238 168138117 178180534 211480857 229089258 267270801 336276234 422961714 534541602 801812403 1603624806 10678104859 21356209718 32034314577 64068629154 74746734013 96102943731 149493468026 192205887462 224240202039 448480404078 672720606117 1345441212234