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11313454234434 = 2311474578239697
BaseRepresentation
bin1010010010100001111001…
…1010111011101101000010
31111001120000002002122000120
42210220132122323231002
52440324423241000214
640021155031401110
72245240641210162
oct244503632735502
944046002078016
1011313454234434
113672010a79720
121328758b23196
13640b14774811
142b18074c45a2
151494500e2ea9
hexa4a1e6bbb42

11313454234434 has 128 divisors (see below), whose sum is σ = 25297557921792. Its totient is φ = 3343621386240.

The previous prime is 11313454234343. The next prime is 11313454234441. The reversal of 11313454234434 is 43443245431311.

11313454234434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1166691474 + ... + 1166701170.

It is an arithmetic number, because the mean of its divisors is an integer number (197637171264).

Almost surely, 211313454234434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313454234434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648778960896).

11313454234434 is an abundant number, since it is smaller than the sum of its proper divisors (13984103687358).

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

11313454234434 is a wasteful number, since it uses less digits than its factorization.

11313454234434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11040.

The product of its digits is 829440, while the sum is 42.

Adding to 11313454234434 its reverse (43443245431311), we get a palindrome (54756699665745).

The spelling of 11313454234434 in words is "eleven trillion, three hundred thirteen billion, four hundred fifty-four million, two hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 457 517 823 914 1034 1371 1551 1646 2469 2742 3102 4938 5027 9053 9697 10054 15081 18106 19394 21479 27159 29091 30162 38681 42958 54318 58182 64437 77362 106667 116043 128874 213334 232086 236269 320001 376111 425491 455759 472538 640002 708807 752222 850982 911518 1128333 1276473 1367277 1417614 2256666 2552946 2734554 4137221 4431529 5013349 7980631 8274442 8863058 10026698 12411663 13294587 15040047 15961262 17677217 23941893 24823326 26589174 30080094 35354434 47883786 48746819 53031651 87786941 97493638 106063302 146240457 175573882 194449387 208281863 263360823 292480914 375089657 388898774 416563726 526721646 583348161 624845589 750179314 1125268971 1166696322 1249691178 2250537942 2291100493 3647148367 4125986227 4582200986 6873301479 7294296734 8251972454 10941445101 12377958681 13746602958 21882890202 24755917362 40118632037 80237264074 120355896111 171415973249 240711792222 342831946498 514247919747 1028495839494 1885575705739 3771151411478 5656727117217 11313454234434