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241074126048 = 253717531932063
BaseRepresentation
bin1110000010000100100…
…0110011110011100000
3212001020212111110221010
43200201020303303200
512422204434013143
6302425315100520
723263020155430
oct3404110636340
9761225443833
10241074126048
119326a072018
123a87b2a1740
131996ba93482
14b94d1b42c0
15640e3d0a33
hex3821233ce0

241074126048 has 384 divisors, whose sum is σ = 784635973632. Its totient is φ = 63243288576.

The previous prime is 241074126017. The next prime is 241074126067. The reversal of 241074126048 is 840621470142.

It is a Cunningham number, because it is equal to 4909932-1.

It is a junction number, because it is equal to n+sod(n) for n = 241074125997 and 241074126015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116855065 + ... + 116857127.

It is an arithmetic number, because the mean of its divisors is an integer number (2043322848).

Almost surely, 2241074126048 is an apocalyptic number.

241074126048 is a gapful number since it is divisible by the number (28) 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 241074126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392317986816).

241074126048 is an abundant number, since it is smaller than the sum of its proper divisors (543561847584).

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

241074126048 is a wasteful number, since it uses less digits than its factorization.

241074126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 241074126048 in words is "two hundred forty-one billion, seventy-four million, one hundred twenty-six thousand, forty-eight".