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10191114240 = 21235374483
BaseRepresentation
bin10010111110111000…
…00001000000000000
3222022020101020120120
421133130001000000
5131332411123430
64403130540240
7510355020216
oct113734010000
928266336516
1010191114240
11435a688a6a
121b84b97680
13c65483118
146c96b0cb6
153e9a5e610
hex25f701000

10191114240 has 208 divisors, whose sum is σ = 33496340928. Its totient is φ = 2643591168.

The previous prime is 10191114239. The next prime is 10191114259. The reversal of 10191114240 is 4241119101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10191114240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271039 + ... + 2275521.

Almost surely, 210191114240 is an apocalyptic number.

10191114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10191114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748170464).

10191114240 is an abundant number, since it is smaller than the sum of its proper divisors (23305226688).

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

10191114240 is an equidigital number, since it uses as much as digits as its factorization.

10191114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 10191114240 in words is "ten billion, one hundred ninety-one million, one hundred fourteen thousand, two hundred forty".