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241343224420 = 2251717312593259
BaseRepresentation
bin1110000011000100101…
…1010101101001100100
3212001221121212002111111
43200301023111221210
512423232331140140
6302512130514404
723302465362664
oct3406113255144
9761847762444
10241343224420
1193397a5a671
123a935435a04
13199b2761a8c
14b976c221a4
156427d387ea
hex38312d5a64

241343224420 has 96 divisors (see below), whose sum is σ = 540330134400. Its totient is φ = 90233985024.

The previous prime is 241343224399. The next prime is 241343224427. The reversal of 241343224420 is 24422343142.

It is not an unprimeable number, because it can be changed into a prime (241343224427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74052751 + ... + 74056009.

It is an arithmetic number, because the mean of its divisors is an integer number (5628438900).

Almost surely, 2241343224420 is an apocalyptic number.

241343224420 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 241343224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270165067200).

241343224420 is an abundant number, since it is smaller than the sum of its proper divisors (298986909980).

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

241343224420 is a wasteful number, since it uses less digits than its factorization.

241343224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 241343224420 its reverse (24422343142), we get a palindrome (265765567562).

The spelling of 241343224420 in words is "two hundred forty-one billion, three hundred forty-three million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 173 340 346 692 865 1259 1730 2518 2941 3259 3460 5036 5882 6295 6518 11764 12590 13036 14705 16295 21403 25180 29410 32590 42806 55403 58820 65180 85612 107015 110806 214030 217807 221612 277015 428060 435614 554030 563807 871228 1089035 1108060 1127614 2178070 2255228 2819035 3702719 4103081 4356140 5638070 7405438 8206162 9584719 11276140 14810876 16412324 18513595 19169438 20515405 37027190 38338876 41030810 47923595 69752377 74054380 82061620 95847190 139504754 191694380 279009508 348761885 697523770 709833013 1395047540 1419666026 2839332052 3549165065 7098330130 12067161221 14196660260 24134322442 48268644884 60335806105 120671612210 241343224420