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241402404224 = 2719457217201
BaseRepresentation
bin1110000011010010110…
…1000101110110000000
3212002002202012201221002
43200310231011312000
512423343003413344
6302522043151132
723304114402602
oct3406455056600
9762082181832
10241402404224
11934184002a3
123a9512154a8
13199c1ab2607
14b980a29172
15642d12844e
hex3834b45d80

241402404224 has 64 divisors (see below), whose sum is σ = 507340431600. Its totient is φ = 114097766400.

The previous prime is 241402404223. The next prime is 241402404239. The reversal of 241402404224 is 422404204142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241402404223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002824 + ... + 1220024.

Almost surely, 2241402404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241402404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253670215800).

241402404224 is an abundant number, since it is smaller than the sum of its proper divisors (265938027376).

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

241402404224 is a wasteful number, since it uses less digits than its factorization.

241402404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217691 (or 217679 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 241402404224 its reverse (422404204142), we get a palindrome (663806608366).

The spelling of 241402404224 in words is "two hundred forty-one billion, four hundred two million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 457 608 914 1216 1828 2432 3656 7312 8683 14624 17366 29248 34732 58496 69464 138928 217201 277856 434402 555712 868804 1111424 1737608 3475216 4126819 6950432 8253638 13900864 16507276 27801728 33014552 66029104 99260857 132058208 198521714 264116416 397043428 528232832 794086856 1588173712 1885956283 3176347424 3771912566 6352694848 7543825132 12705389696 15087650264 30175300528 60350601056 120701202112 241402404224