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241030057340 = 225317122724121
BaseRepresentation
bin1110000001111010000…
…0101100110101111100
3212001010210120120000202
43200132200230311330
512422112143313330
6302421102343032
723261643453302
oct3403640546574
9761123516022
10241030057340
11932472025a6
123a86858aa78
1319962903a07
14b9473c2272
15640a5c8445
hex381e82cd7c

241030057340 has 96 divisors (see below), whose sum is σ = 532206194688. Its totient is φ = 91578816000.

The previous prime is 241030057319. The next prime is 241030057349. The reversal of 241030057340 is 43750030142.

It is a happy number.

241030057340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241030057349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9980480 + ... + 10004600.

It is an arithmetic number, because the mean of its divisors is an integer number (5543814528).

Almost surely, 2241030057340 is an apocalyptic number.

241030057340 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 241030057340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266103097344).

241030057340 is an abundant number, since it is smaller than the sum of its proper divisors (291176137348).

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

241030057340 is a wasteful number, since it uses less digits than its factorization.

241030057340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24459 (or 24457 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

Adding to 241030057340 its reverse (43750030142), we get a palindrome (284780087482).

The spelling of 241030057340 in words is "two hundred forty-one billion, thirty million, fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 227 284 310 355 454 620 710 908 1135 1420 2201 2270 4402 4540 7037 8804 11005 14074 16117 22010 24121 28148 32234 35185 44020 48242 64468 70370 80585 96484 120605 140740 161170 241210 322340 482420 499627 747751 999254 1495502 1712591 1998508 2498135 2991004 3425182 3738755 4996270 5475467 6850364 7477510 8562955 9992540 10950934 14955020 17125910 21901868 27377335 34251820 53090321 54754670 106180642 109509340 169739477 212361284 265451605 339478954 388758157 530903210 678957908 777516314 848697385 1061806420 1555032628 1697394770 1943790785 3394789540 3887581570 7775163140 12051502867 24103005734 48206011468 60257514335 120515028670 241030057340