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4100141046 = 2323291024523
BaseRepresentation
bin1111010001100011…
…0010111111110110
3101120202010202010210
43310120302333312
531344114003141
61514504130250
7203414423661
oct36430627766
911522122123
104100141046
111814471721
12965166986
135045b4481
142ac7806d8
1518ee56916
hexf4632ff6

4100141046 has 32 divisors (see below), whose sum is σ = 8851887360. Its totient is φ = 1262211104.

The previous prime is 4100141041. The next prime is 4100141077. The reversal of 4100141046 is 6401410014.

It is a super-2 number, since 2×41001410462 = 33622313194187948232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100141041) 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, 508260 + ... + 516263.

It is an arithmetic number, because the mean of its divisors is an integer number (276621480).

Almost surely, 24100141046 is an apocalyptic number.

4100141046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4100141046 is an abundant number, since it is smaller than the sum of its proper divisors (4751746314).

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

4100141046 is a wasteful number, since it uses less digits than its factorization.

4100141046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024580.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4100141046 is about 64032.3437490773. The cubic root of 4100141046 is about 1600.5390170904.

The spelling of 4100141046 in words is "four billion, one hundred million, one hundred forty-one thousand, forty-six".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 667 1334 2001 4002 1024523 2049046 3073569 6147138 23564029 29711167 47128058 59422334 70692087 89133501 141384174 178267002 683356841 1366713682 2050070523 4100141046