Search a number
-
+
9914663040 = 2735311571061
BaseRepresentation
bin10010011101111010…
…11100000010000000
3221120222012001211020
421032331130002000
5130301123204130
64315453345440
7500460150102
oct111675340200
927528161736
109914663040
1142286290a7
121b08498280
13c2010bb29
146a0aab572
153d0652e10
hex24ef5c080

9914663040 has 256 divisors, whose sum is σ = 32861168640. Its totient is φ = 2539929600.

The previous prime is 9914662987. The next prime is 9914663047. The reversal of 9914663040 is 403664199.

It is a super-3 number, since 3×99146630403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9914662983 and 9914663001.

It is not an unprimeable number, because it can be changed into a prime (9914663047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9344110 + ... + 9345170.

It is an arithmetic number, because the mean of its divisors is an integer number (128363940).

Almost surely, 29914663040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9914663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430584320).

9914663040 is an abundant number, since it is smaller than the sum of its proper divisors (22946505600).

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

9914663040 is a wasteful number, since it uses less digits than its factorization.

9914663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 9914663040 is about 99572.4009954566. The cubic root of 9914663040 is about 2148.2887439588.

The spelling of 9914663040 in words is "nine billion, nine hundred fourteen million, six hundred sixty-three thousand, forty".