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241542444000 = 253531113140759
BaseRepresentation
bin1110000011110100001…
…1010011001111100000
3212002110111201111101110
43200331003103033200
512424134331202000
6302544004503320
723310434620044
oct3407503231740
9762414644343
10241542444000
119348a45a250
123a9900aab40
1319a14b04aa0
14b995480024
15643a58b850
hex383d0d33e0

241542444000 has 384 divisors, whose sum is σ = 929637596160. Its totient is φ = 54051072000.

The previous prime is 241542443981. The next prime is 241542444001. The reversal of 241542444000 is 444245142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241542444001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1645621 + ... + 1786379.

It is an arithmetic number, because the mean of its divisors is an integer number (2420931240).

Almost surely, 2241542444000 is an apocalyptic number.

241542444000 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 241542444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464818798080).

241542444000 is an abundant number, since it is smaller than the sum of its proper divisors (688095152160).

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

241542444000 is a wasteful number, since it uses less digits than its factorization.

241542444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140811 (or 140793 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 241542444000 its reverse (444245142), we get a palindrome (241986689142).

The spelling of 241542444000 in words is "two hundred forty-one billion, five hundred forty-two million, four hundred forty-four thousand".