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241404414704 = 2431265324043
BaseRepresentation
bin1110000011010011010…
…0110000101011110000
3212002002212222212210022
43200310310300223300
512423344012232304
6302522154223012
723304140445215
oct3406464605360
9762085885708
10241404414704
1193419553852
123a951a24a68
13199c233774b
14b980dcdb0c
15642d3c3ebe
hex3834d30af0

241404414704 has 60 divisors (see below), whose sum is σ = 484055779608. Its totient is φ = 116624856960.

The previous prime is 241404414703. The next prime is 241404414707. The reversal of 241404414704 is 407414404142.

It is a super-2 number, since 2×2414044147042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241404414703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10028507 + ... + 10052549.

Almost surely, 2241404414704 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 241404414704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242027889804).

241404414704 is an abundant number, since it is smaller than the sum of its proper divisors (242651364904).

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

241404414704 is a wasteful number, since it uses less digits than its factorization.

241404414704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24766 (or 24729 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

Adding to 241404414704 its reverse (407414404142), we get a palindrome (648818818846).

The spelling of 241404414704 in words is "two hundred forty-one billion, four hundred four million, four hundred fourteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 496 653 961 1306 1922 2612 3844 5224 7688 10448 15376 20243 24043 40486 48086 80972 96172 161944 192344 323888 384688 627533 745333 1255066 1490666 2510132 2981332 5020264 5962664 10040528 11925328 15700079 23105323 31400158 46210646 62800316 92421292 125600632 184842584 251201264 369685168 486702449 973404898 1946809796 3893619592 7787239184 15087775919 30175551838 60351103676 120702207352 241404414704