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43035612345341 = 7119746314878369
BaseRepresentation
bin10011100100100000000100…
…11000101111001111111101
312122101011102211002212120222
421302100002120233033331
521120043413230022331
6231310142023551125
712031135410201410
oct1162200230571775
9178334384085528
1043035612345341
1112792334261a10
1249b070b5bb4a5
131b0231914a155
14a8ad12d59b77
154e96c5b4bb7b
hex27240262f3fd

43035612345341 has 64 divisors (see below), whose sum is σ = 54368040222720. Its totient is φ = 33090622709760.

The previous prime is 43035612345329. The next prime is 43035612345353. The reversal of 43035612345341 is 14354321653034.

It is a happy number.

43035612345341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43035612345329) and next prime (43035612345353).

It is not a de Polignac number, because 43035612345341 - 226 = 43035545236477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 43035612345292 and 43035612345301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43035612345361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5142260405 + ... + 5142268773.

It is an arithmetic number, because the mean of its divisors is an integer number (849500628480).

Almost surely, 243035612345341 is an apocalyptic number.

It is an amenable number.

43035612345341 is a deficient number, since it is larger than the sum of its proper divisors (11332427877379).

43035612345341 is a wasteful number, since it uses less digits than its factorization.

43035612345341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434.

The product of its (nonzero) digits is 1555200, while the sum is 44.

Adding to 43035612345341 its reverse (14354321653034), we get a palindrome (57389933998375).

The spelling of 43035612345341 in words is "forty-three trillion, thirty-five billion, six hundred twelve million, three hundred forty-five thousand, three hundred forty-one".

Divisors: 1 7 11 77 97 463 679 1067 1487 3241 5093 7469 8369 10409 16357 35651 44911 58583 92059 114499 144239 314377 494021 644413 688481 811793 1009673 1586629 3458147 3874847 4819367 5682551 7573291 8929723 11106403 12444703 27123929 42623317 53013037 62508061 66782657 87112921 136891733 298363219 375860159 467478599 734609227 958242131 1207136191 2631021113 4134461749 5142264589 5761897489 8449953337 13278498101 28941232243 40333282423 63380872379 92949486707 443666106653 558904056433 3912328395031 6147944620763 43035612345341