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241140334350 = 235217311304067
BaseRepresentation
bin1110000010010100010…
…1010111111100001110
3212001102111002012122110
43200211011113330032
512422323411144400
6302440042124450
723264453010516
oct3404505277416
9761374065573
10241140334350
11932a3483323
123a8994b0726
131997c705196
14b957cca846
15641510ce50
hex3825157f0e

241140334350 has 96 divisors (see below), whose sum is σ = 635244270336. Its totient is φ = 60326694400.

The previous prime is 241140334313. The next prime is 241140334439. The reversal of 241140334350 is 53433041142.

241140334350 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641017 + ... + 945083.

It is an arithmetic number, because the mean of its divisors is an integer number (6617127816).

Almost surely, 2241140334350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241140334350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317622135168).

241140334350 is an abundant number, since it is smaller than the sum of its proper divisors (394103935986).

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

241140334350 is a wasteful number, since it uses less digits than its factorization.

241140334350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304410 (or 304405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 241140334350 its reverse (53433041142), we get a palindrome (294573375492).

The spelling of 241140334350 in words is "two hundred forty-one billion, one hundred forty million, three hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 311 425 510 622 850 933 1275 1555 1866 2550 3110 4665 5287 7775 9330 10574 15550 15861 23325 26435 31722 46650 52870 79305 132175 158610 264350 304067 396525 608134 793050 912201 1520335 1824402 3040670 4561005 5169139 7601675 9122010 10338278 15203350 15507417 22805025 25845695 31014834 45610050 51691390 77537085 94564837 129228475 155074170 189129674 258456950 283694511 387685425 472824185 567389022 775370850 945648370 1418472555 1607602229 2364120925 2836945110 3215204458 4728241850 4822806687 7092362775 8038011145 9645613374 14184725550 16076022290 24114033435 40190055725 48228066870 80380111450 120570167175 241140334350