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4414145688 = 2332277221327
BaseRepresentation
bin1000001110001101…
…01000010010011000
3102101121222211112100
410013012220102120
533020010130223
62010002243400
7214246422261
oct40706502230
912347884470
104414145688
111965740a97
12a32356560
13554676834
142dc35b968
151ac7d0043
hex1071a8498

4414145688 has 48 divisors (see below), whose sum is σ = 11998190880. Its totient is φ = 1466063424.

The previous prime is 4414145669. The next prime is 4414145699. The reversal of 4414145688 is 8865414144.

4414145688 is a `hidden beast` number, since 4 + 41 + 41 + 4 + 568 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90720 + ... + 130607.

It is an arithmetic number, because the mean of its divisors is an integer number (249962310).

Almost surely, 24414145688 is an apocalyptic number.

It is an amenable number.

4414145688 is an abundant number, since it is smaller than the sum of its proper divisors (7584045192).

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

4414145688 is a wasteful number, since it uses less digits than its factorization.

4414145688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221616 (or 221609 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 4414145688 is about 66439.0373801427. The cubic root of 4414145688 is about 1640.3967025658.

The spelling of 4414145688 in words is "four billion, four hundred fourteen million, one hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 1108 1662 2216 2493 3324 4986 6648 9972 19944 221327 442654 663981 885308 1327962 1770616 1991943 2655924 3983886 5311848 7967772 15935544 61307579 122615158 183922737 245230316 367845474 490460632 551768211 735690948 1103536422 1471381896 2207072844 4414145688