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241117724120 = 2357213291512161
BaseRepresentation
bin1110000010001110111…
…1000111110111011000
3212001100220112111020112
43200203233013313120
512422302114132440
6302433513343452
723264056560500
oct3404357076730
9761326474215
10241117724120
119329173a989
123a891a07b88
1319977b19950
14b954cc2a00
156413143965
hex3823bc7dd8

241117724120 has 384 divisors, whose sum is σ = 708053270400. Its totient is φ = 73156608000.

The previous prime is 241117724117. The next prime is 241117724123. The reversal of 241117724120 is 21427711142.

It is an interprime number because it is at equal distance from previous prime (241117724117) and next prime (241117724123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241117724123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111575840 + ... + 111578000.

It is an arithmetic number, because the mean of its divisors is an integer number (1843888725).

Almost surely, 2241117724120 is an apocalyptic number.

241117724120 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 241117724120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354026635200).

241117724120 is an abundant number, since it is smaller than the sum of its proper divisors (466935546280).

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

241117724120 is a wasteful number, since it uses less digits than its factorization.

241117724120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 241117724120 in words is "two hundred forty-one billion, one hundred seventeen million, seven hundred twenty-four thousand, one hundred twenty".