Search a number
-
+
23441114000 = 245399111827
BaseRepresentation
bin10101110101001100…
…110000001110010000
32020111122120222020102
4111311030300032100
5341001411122000
614434012231532
71456615116143
oct256514601620
966448528212
1023441114000
119a39996997
12466246b5a8
132297597375
1411c531605a
15922de53d5
hex575330390

23441114000 has 80 divisors (see below), whose sum is σ = 56742606336. Its totient is φ = 9366192000.

The previous prime is 23441113973. The next prime is 23441114009. The reversal of 23441114000 is 41114432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23441114009) 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, 1976087 + ... + 1987913.

Almost surely, 223441114000 is an apocalyptic number.

23441114000 is a gapful number since it is divisible by the number (20) 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 23441114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28371303168).

23441114000 is an abundant number, since it is smaller than the sum of its proper divisors (33301492336).

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

23441114000 is a wasteful number, since it uses less digits than its factorization.

23441114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 23441114000 its reverse (41114432), we get a palindrome (23482228432).

The spelling of 23441114000 in words is "twenty-three billion, four hundred forty-one million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 991 1000 1982 2000 3964 4955 7928 9910 11827 15856 19820 23654 24775 39640 47308 49550 59135 79280 94616 99100 118270 123875 189232 198200 236540 247750 295675 396400 473080 495500 591350 946160 991000 1182700 1478375 1982000 2365400 2956750 4730800 5913500 11720557 11827000 23441114 23654000 46882228 58602785 93764456 117205570 187528912 234411140 293013925 468822280 586027850 937644560 1172055700 1465069625 2344111400 2930139250 4688222800 5860278500 11720557000 23441114000