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99491141 = 292281421
BaseRepresentation
bin1011110111000…
…01110101000101
320221012200012002
411323201311011
5200432204031
613512235045
72315442431
oct573416505
9227180162
1099491141
1151184192
122939ba85
13177c5cc9
14d2db9c1
158b03ccb
hex5ee1d45

99491141 has 12 divisors (see below), whose sum is σ = 103652484. Its totient is φ = 95491200.

The previous prime is 99491071. The next prime is 99491173. The reversal of 99491141 is 14119499.

99491141 = T1 + T2 + ... + T841.

99491141 is a nontrivial binomial coefficient, being equal to C(843, 3).

It can be written as a sum of positive squares in 6 ways, for example, as 5808100 + 93683041 = 2410^2 + 9679^2 .

It is not a de Polignac number, because 99491141 - 214 = 99474757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99491095 and 99491104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99491341) by changing a digit.

It is the 841-st tetrahedral number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236111 + ... + 236531.

It is an arithmetic number, because the mean of its divisors is an integer number (8637707).

Almost surely, 299491141 is an apocalyptic number.

It is an amenable number.

99491141 is a deficient number, since it is larger than the sum of its proper divisors (4161343).

99491141 is a wasteful number, since it uses less digits than its factorization.

99491141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 731 counting only the distinct ones).

The product of its digits is 11664, while the sum is 38.

The square root of 99491141 is about 9974.5246002003. The cubic root of 99491141 is about 463.3702393987.

The spelling of 99491141 in words is "ninety-nine million, four hundred ninety-one thousand, one hundred forty-one".

Divisors: 1 29 281 421 841 8149 12209 118301 236321 354061 3430729 99491141