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241142334000 = 2435340190389
BaseRepresentation
bin1110000010010100110…
…1000000001000110000
3212001102121211210122120
43200211031000020300
512422324414142000
6302440153034240
723264506006431
oct3404515001060
9761377753576
10241142334000
11932a4619727
123a89a0b5980
131997cc553c9
14b95828b488
1564153a56a0
hex3825340230

241142334000 has 80 divisors (see below), whose sum is σ = 777442904160. Its totient is φ = 64304620800.

The previous prime is 241142333933. The next prime is 241142334007. The reversal of 241142334000 is 433241142.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (241142334007) 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, 20089195 + ... + 20101194.

It is an arithmetic number, because the mean of its divisors is an integer number (9718036302).

Almost surely, 2241142334000 is an apocalyptic number.

241142334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241142334000 is an abundant number, since it is smaller than the sum of its proper divisors (536300570160).

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

241142334000 is a wasteful number, since it uses less digits than its factorization.

241142334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40190415 (or 40190399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 241142334000 its reverse (433241142), we get a palindrome (241575575142).

The spelling of 241142334000 in words is "two hundred forty-one billion, one hundred forty-two million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 40190389 80380778 120571167 160761556 200951945 241142334 321523112 401903890 482284668 602855835 643046224 803807780 964569336 1004759725 1205711670 1607615560 1929138672 2009519450 2411423340 3014279175 3215231120 4019038900 4822846680 5023798625 6028558350 8038077800 9645693360 10047597250 12057116700 15071395875 16076155600 20095194500 24114233400 30142791750 40190389000 48228466800 60285583500 80380778000 120571167000 241142334000