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1213440303114 = 2321341325738833
BaseRepresentation
bin10001101010000110101…
…011011010000000001010
311022000002202000020202200
4101222012223122000022
5124340111204144424
62325240300541030
7153445116252144
oct21520653320012
94260082006680
101213440303114
11428687464816
1217720a851776
138a571c6c7a0
1442a33549c94
152186eb128c9
hex11a86ada00a

1213440303114 has 96 divisors (see below), whose sum is σ = 2901383516304. Its totient is φ = 364138536960.

The previous prime is 1213440303043. The next prime is 1213440303133. The reversal of 1213440303114 is 4113030443121.

1213440303114 is a `hidden beast` number, since 1 + 2 + 1 + 344 + 0 + 3 + 0 + 311 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 142283612025 + 1071156691089 = 377205^2 + 1034967^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31228242 + ... + 31267074.

Almost surely, 21213440303114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213440303114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450691758152).

1213440303114 is an abundant number, since it is smaller than the sum of its proper divisors (1687943213190).

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

1213440303114 is a wasteful number, since it uses less digits than its factorization.

1213440303114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42152 (or 42149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1213440303114 its reverse (4113030443121), we get a palindrome (5326470746235).

The spelling of 1213440303114 in words is "one trillion, two hundred thirteen billion, four hundred forty million, three hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 3257 4797 6514 9594 9771 19542 29313 38833 42341 58626 77666 84682 116499 127023 133537 232998 254046 267074 349497 381069 400611 504829 698994 762138 801222 1009658 1201833 1514487 1592153 1735981 2403666 3028974 3184306 3471962 4543461 4776459 5207943 9086922 9552918 10415886 14329377 15623829 20697989 28658754 31247658 41395978 62093967 124187934 126479081 186281901 252958162 372563802 379437243 758874486 1138311729 1644228053 2276623458 3288456106 4932684159 5185642321 9865368318 10371284642 14798052477 15556926963 29596104954 31113853926 46670780889 67413350173 93341561778 134826700346 202240050519 404480101038 606720151557 1213440303114