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241410440000 = 265413744053
BaseRepresentation
bin1110000011010100101…
…1101111101101000000
3212002010022022222221102
43200311023233231000
512423402033040000
6302522531313532
723304242611532
oct3406513575500
9762108288842
10241410440000
1193421999734
123a953a4b8a8
13199c3667102
14b981b1b852
15642dbb43d5
hex38352efb40

241410440000 has 140 divisors (see below), whose sum is σ = 603002605524. Its totient is φ = 95857152000.

The previous prime is 241410439981. The next prime is 241410440003. The reversal of 241410440000 is 44014142.

It is a happy number.

241410440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 149911449856 + 91498990144 = 387184^2 + 302488^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241410440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5457974 + ... + 5502026.

Almost surely, 2241410440000 is an apocalyptic number.

241410440000 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 241410440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301501302762).

241410440000 is an abundant number, since it is smaller than the sum of its proper divisors (361592165524).

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

241410440000 is an equidigital number, since it uses as much as digits as its factorization.

241410440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44222 (or 44197 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 241410440000 its reverse (44014142), we get a palindrome (241454454142).

The spelling of 241410440000 in words is "two hundred forty-one billion, four hundred ten million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 137 160 200 250 274 320 400 500 548 625 685 800 1000 1096 1250 1370 1600 2000 2192 2500 2740 3425 4000 4384 5000 5480 6850 8000 8768 10000 10960 13700 17125 20000 21920 27400 34250 40000 43840 44053 54800 68500 85625 88106 109600 137000 171250 176212 219200 220265 274000 342500 352424 440530 548000 685000 704848 881060 1096000 1101325 1370000 1409696 1762120 2202650 2740000 2819392 3524240 4405300 5480000 5506625 6035261 7048480 8810600 11013250 12070522 14096960 17621200 22026500 24141044 27533125 30176305 35242400 44053000 48282088 55066250 60352610 70484800 88106000 96564176 110132500 120705220 150881525 176212000 193128352 220265000 241410440 301763050 352424000 386256704 440530000 482820880 603526100 754407625 881060000 965641760 1207052200 1508815250 1762120000 1931283520 2414104400 3017630500 3772038125 4828208800 6035261000 7544076250 9656417600 12070522000 15088152500 24141044000 30176305000 48282088000 60352610000 120705220000 241410440000