Search a number
-
+
98897041441 = 1142321132
BaseRepresentation
bin101110000011010111…
…0010001100000100001
3100110021022020020112201
41130012232101200201
53110020120311231
6113233242453201
710100521660612
oct1340656214041
9313238206481
1098897041441
1138a3a890000
1217200504201
139431164243
144b02791c09
15288c4bc161
hex1706b91821

98897041441 has 45 divisors (see below), whose sum is σ = 114736835395. Its totient is φ = 85236388160.

The previous prime is 98897041429. The next prime is 98897041499. The reversal of 98897041441 is 14414079889.

The square root of 98897041441 is 314479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1742645025 + 97154396416 = 41745^2 + 311696^2 .

It is a de Polignac number, because none of the positive numbers 2k-98897041441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98897041141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 875195001 + ... + 875195113.

Almost surely, 298897041441 is an apocalyptic number.

98897041441 is the 314479-th square number.

98897041441 is the 157240-th centered octagonal number.

It is an amenable number.

98897041441 is a deficient number, since it is larger than the sum of its proper divisors (15839793954).

98897041441 is an frugal number, since it uses more digits than its factorization.

98897041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 98897041441 in words is "ninety-eight billion, eight hundred ninety-seven million, forty-one thousand, four hundred forty-one".

Divisors: 1 11 23 113 121 253 529 1243 1331 2599 2783 5819 12769 13673 14641 28589 30613 59777 64009 140459 150403 293687 314479 336743 657547 704099 1545049 1654433 3230557 3459269 6754801 7233017 7745089 16995539 35536127 38051959 74302811 79563187 186950929 390897397 817330921 875195057 4299871367 8990640131 98897041441