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241332154025440 = 255171731655330983
BaseRepresentation
bin110110110111110110000101…
…010100000100010111100000
31011122111010110202101020220011
4312313312011110010113200
5223112441222412303230
62213134243325454304
7101555446515640312
oct6667660524042740
91148433422336804
10241332154025440
116a994434481855
1223097956111394
13a4876a836b41a
144384777c037b2
151cd790a994e2a
hexdb7d855045e0

241332154025440 has 192 divisors, whose sum is σ = 607231074473856. Its totient is φ = 90320915464192.

The previous prime is 241332154025411. The next prime is 241332154025477. The reversal of 241332154025440 is 44520451233142.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 241332154025393 and 241332154025402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7789164189 + ... + 7789195171.

It is an arithmetic number, because the mean of its divisors is an integer number (3162661846218).

Almost surely, 2241332154025440 is an apocalyptic number.

241332154025440 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 241332154025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303615537236928).

241332154025440 is an abundant number, since it is smaller than the sum of its proper divisors (365898920448416).

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

241332154025440 is a wasteful number, since it uses less digits than its factorization.

241332154025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47741 (or 47733 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 241332154025440 in words is "two hundred forty-one trillion, three hundred thirty-two billion, one hundred fifty-four million, twenty-five thousand, four hundred forty".