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4414149131 = 72922632851
BaseRepresentation
bin1000001110001101…
…01001001000001011
3102101122000000020212
410013012221020023
533020010233011
62010002311335
7214246435310
oct40706511013
912348000225
104414149131
111965743637
12a3235854b
13554678282
142dc35cd07
151ac7d108b
hex1071a920b

4414149131 has 24 divisors (see below), whose sum is σ = 5246402304. Its totient is φ = 3637922400.

The previous prime is 4414149107. The next prime is 4414149137. The reversal of 4414149131 is 1319414144.

It is a de Polignac number, because none of the positive numbers 2k-4414149131 is a prime.

It is a super-2 number, since 2×44141491312 = 38969425101416110322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4414149137) by changing a digit.

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, 1546856 + ... + 1549706.

It is an arithmetic number, because the mean of its divisors is an integer number (218600096).

Almost surely, 24414149131 is an apocalyptic number.

4414149131 is a deficient number, since it is larger than the sum of its proper divisors (832253173).

4414149131 is a wasteful number, since it uses less digits than its factorization.

4414149131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3150 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 4414149131 is about 66439.0632911091. The cubic root of 4414149131 is about 1640.3971290646.

The spelling of 4414149131 in words is "four billion, four hundred fourteen million, one hundred forty-nine thousand, one hundred thirty-one".

Divisors: 1 7 29 203 263 841 1841 2851 5887 7627 19957 53389 82679 221183 578753 749813 1548281 2397691 5248691 16783837 21744577 152212039 630592733 4414149131