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241230043344234 = 23725325216140947
BaseRepresentation
bin110110110110010110111111…
…000010101110110101101010
31011122010100220111010012100110
4312312112333002232311222
5223104303112044003414
62213015315123315150
7101545203232320300
oct6666267702566552
91148110814105313
10241230043344234
116a9550a568271a
122307bbb951bab6
13a47ab844a11b9
14437d84c716270
151cd4e312d3459
hexdb65bf0aed6a

241230043344234 has 96 divisors (see below), whose sum is σ = 572045223537216. Its totient is φ = 67595603362560.

The previous prime is 241230043344211. The next prime is 241230043344239. The reversal of 241230043344234 is 432443340032142.

It is a happy number.

It is a super-2 number, since 2×2412300433442342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241230043344192 and 241230043344201.

It is not an unprimeable number, because it can be changed into a prime (241230043344239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36211749 + ... + 42352695.

It is an arithmetic number, because the mean of its divisors is an integer number (5958804411846).

Almost surely, 2241230043344234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241230043344234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286022611768608).

241230043344234 is an abundant number, since it is smaller than the sum of its proper divisors (330815180192982).

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

241230043344234 is a wasteful number, since it uses less digits than its factorization.

241230043344234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143540 (or 6143533 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 241230043344234 its reverse (432443340032142), we get a palindrome (673673383376376).

The spelling of 241230043344234 in words is "two hundred forty-one trillion, two hundred thirty billion, forty-three million, three hundred forty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2521 2597 5042 5194 7563 7791 15126 15582 17647 35294 52941 105882 123529 133613 247058 267226 370587 400839 741174 801678 935291 1870582 2805873 5611746 6140947 6547037 12281894 13094074 18422841 19641111 36845682 39282222 42986629 85973258 128959887 257919774 300906403 325470191 601812806 650940382 902719209 976410573 1805438418 1952821146 2278291337 4556582674 6834874011 13669748022 15481327387 15948039359 30962654774 31896078718 46443982161 47844118077 92887964322 95688236154 108369291709 216738583418 325107875127 650215750254 758585041963 820510351511 1517170083926 1641020703022 2275755125889 2461531054533 4551510251778 4923062109066 5743572460577 11487144921154 17230717381731 34461434763462 40205007224039 80410014448078 120615021672117 241230043344234