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1144211112114 = 237217317224743
BaseRepresentation
bin10000101001101000010…
…011000000000010110010
311001101102001001222001120
4100221220103000002302
5122221321021041424
62233350543043110
7145444421660100
oct20515023000262
94041361058046
101144211112114
11401291385984
12165909ba0496
1383b8b427345
143d547060c70
151eb6c00ea79
hex10a684c00b2

1144211112114 has 48 divisors (see below), whose sum is σ = 2662207748928. Its totient is φ = 326897127648.

The previous prime is 1144211112103. The next prime is 1144211112137. The reversal of 1144211112114 is 4112111124411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4978827 + ... + 5203569.

It is an arithmetic number, because the mean of its divisors is an integer number (55462661436).

Almost surely, 21144211112114 is an apocalyptic number.

1144211112114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1144211112114 is an abundant number, since it is smaller than the sum of its proper divisors (1517996636814).

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

1144211112114 is a wasteful number, since it uses less digits than its factorization.

1144211112114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242079 (or 242072 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

Adding to 1144211112114 its reverse (4112111124411), we get a palindrome (5256322236525).

The spelling of 1144211112114 in words is "one trillion, one hundred forty-four billion, two hundred eleven million, one hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 17317 34634 51951 103902 121219 224743 242438 363657 449486 674229 727314 848533 1348458 1573201 1697066 2545599 3146402 4719603 5091198 9439206 11012407 22024814 33037221 66074442 3891874531 7783749062 11675623593 23351247186 27243121717 54486243434 81729365151 163458730302 190701852019 381403704038 572105556057 1144211112114