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23444410000 = 245411213131
BaseRepresentation
bin10101110101011001…
…010100111010010000
32020111212210102111111
4111311121110322100
5341003232110000
614434211023104
71456655124364
oct256531247220
966455712444
1023444410000
119a40838260
12466359aa94
13229817c66b
1411c59332a4
15923346cba
hex575654e90

23444410000 has 100 divisors (see below), whose sum is σ = 61921666224. Its totient is φ = 8525200000.

The previous prime is 23444409983. The next prime is 23444410001. The reversal of 23444410000 is 1444432.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23444410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3435 + ... + 216565.

Almost surely, 223444410000 is an apocalyptic number.

23444410000 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 23444410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30960833112).

23444410000 is an abundant number, since it is smaller than the sum of its proper divisors (38477256224).

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

23444410000 is a wasteful number, since it uses less digits than its factorization.

23444410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213170 (or 213149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23444410000 its reverse (1444432), we get a palindrome (23445854432).

The spelling of 23444410000 in words is "twenty-three billion, four hundred forty-four million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 213131 426262 852524 1065655 1705048 2131310 2344441 3410096 4262620 4688882 5328275 8525240 9377764 10656550 11722205 17050480 18755528 21313100 23444410 26641375 37511056 42626200 46888820 53282750 58611025 85252400 93777640 106565500 117222050 133206875 187555280 213131000 234444100 266413750 293055125 426262000 468888200 532827500 586110250 937776400 1065655000 1172220500 1465275625 2131310000 2344441000 2930551250 4688882000 5861102500 11722205000 23444410000