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341441443431 = 32112597372797
BaseRepresentation
bin1001111011111110111…
…11101111011001100111
31012122022122022110220100
410331333133233121213
521043233002142211
6420504523035143
733445144245204
oct4757737573147
91178278273810
10341441443431
11121893880100
125621006bab3
132627571047a
1412750d2ccab
158d359c5156
hex4f7f7ef667

341441443431 has 72 divisors (see below), whose sum is σ = 558852774480. Its totient is φ = 200637423360.

The previous prime is 341441443417. The next prime is 341441443439. The reversal of 341441443431 is 134344144143.

341441443431 is a `hidden beast` number, since 3 + 41 + 44 + 144 + 3 + 431 = 666.

It is not a de Polignac number, because 341441443431 - 221 = 341439346279 is a prime.

It is a super-2 number, since 2×3414414434312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341441443439) 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 71 ways as a sum of consecutive naturals, for example, 4653925 + ... + 4726721.

It is an arithmetic number, because the mean of its divisors is an integer number (7761844090).

Almost surely, 2341441443431 is an apocalyptic number.

341441443431 is a deficient number, since it is larger than the sum of its proper divisors (217411331049).

341441443431 is a wasteful number, since it uses less digits than its factorization.

341441443431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72957 (or 72943 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 341441443431 its reverse (134344144143), we get a palindrome (475785587574).

The spelling of 341441443431 in words is "three hundred forty-one billion, four hundred forty-one million, four hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 59 73 99 121 177 219 363 531 649 657 803 1089 1947 2409 4307 5841 7139 7227 8833 12921 21417 26499 38763 47377 64251 72797 79497 142131 218391 426393 521147 655173 800767 1563441 2402301 4295023 4690323 5314181 7206903 8808437 12885069 15942543 26425311 38655207 47245253 47827629 58455991 79275933 141735759 175367973 313536679 425207277 519697783 526103919 643015901 940610037 1559093349 1929047703 2821830111 3448903469 4677280047 5787143109 10346710407 31040131221 37937938159 113813814477 341441443431