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23442441000 = 2335311710377
BaseRepresentation
bin10101110101010001…
…110100001100101000
32020111202002101112120
4111311101310030220
5341002231103000
614434100511240
71456632314016
oct256521641450
966452071476
1023442441000
119a3a712990
1246629ab520
132297940384
1411c557d8b6
159230a86a0
hex575474328

23442441000 has 128 divisors (see below), whose sum is σ = 79789656960. Its totient is φ = 5683008000.

The previous prime is 23442440999. The next prime is 23442441007. The reversal of 23442441000 is 14424432.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (23442441007) 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, 322189 + ... + 388188.

It is an arithmetic number, because the mean of its divisors is an integer number (623356695).

Almost surely, 223442441000 is an apocalyptic number.

23442441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23442441000 is an abundant number, since it is smaller than the sum of its proper divisors (56347215960).

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

23442441000 is a wasteful number, since it uses less digits than its factorization.

23442441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710412 (or 710398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23442441000 its reverse (14424432), we get a palindrome (23456865432).

The spelling of 23442441000 in words is "twenty-three billion, four hundred forty-two million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 710377 1420754 2131131 2841508 3551885 4262262 5683016 7103770 7814147 8524524 10655655 14207540 15628294 17049048 17759425 21311310 23442441 28415080 31256588 35518850 39070735 42622620 46884882 53278275 62513176 71037700 78141470 85245240 88797125 93769764 106556550 117212205 142075400 156282940 177594250 187539528 195353675 213113100 234424410 266391375 312565880 355188500 390707350 426226200 468848820 532782750 586061025 710377000 781414700 937697640 976768375 1065565500 1172122050 1562829400 1953536750 2131131000 2344244100 2930305125 3907073500 4688488200 5860610250 7814147000 11721220500 23442441000