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1001110041414 = 23372648439263
BaseRepresentation
bin11101001000101101100…
…11101111001101000110
310112201001002011101001000
432210112303233031012
5112400233132311124
62043523102314130
7132220303643250
oct16442663571506
93481032141030
101001110041414
1135662857949a
12142031888946
1373534253b92
143664da3acd0
151b093e326c9
hexe916cef346

1001110041414 has 32 divisors (see below), whose sum is σ = 2542501693440. Its totient is φ = 286031440296.

The previous prime is 1001110041413. The next prime is 1001110041457. The reversal of 1001110041414 is 4141400111001.

1001110041414 is a `hidden beast` number, since 100 + 1 + 110 + 0 + 41 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110041413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1324219254 + ... + 1324220009.

It is an arithmetic number, because the mean of its divisors is an integer number (79453177920).

Almost surely, 21001110041414 is an apocalyptic number.

1001110041414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1001110041414 is an abundant number, since it is smaller than the sum of its proper divisors (1541391652026).

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

1001110041414 is a wasteful number, since it uses less digits than its factorization.

1001110041414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648439281 (or 2648439275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1001110041414 its reverse (4141400111001), we get a palindrome (5142510152415).

The spelling of 1001110041414 in words is "one trillion, one billion, one hundred ten million, forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2648439263 5296878526 7945317789 15890635578 18539074841 23835953367 37078149682 47671906734 55617224523 71507860101 111234449046 143015720202 166851673569 333703347138 500555020707 1001110041414