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34534144143543 = 31141101607416333
BaseRepresentation
bin1111101101000100110110…
…11001001111000010110111
311112021102122212211101020210
413312202123121033002313
514011301411400043133
6201240433344000503
710163003166613002
oct766423331170267
9145242585741223
1034534144143543
111000493707a570
123a58b47000133
13163672c19a585
148756664b0539
153ed4a423a763
hex1f689b64f0b7

34534144143543 has 64 divisors (see below), whose sum is σ = 52051848597504. Its totient is φ = 20183775360000.

The previous prime is 34534144143493. The next prime is 34534144143547.

34534144143543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34534144143543 - 218 = 34534143881399 is a prime.

It is a super-2 number, since 2×345341441435432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34534144143492 and 34534144143501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34534144143547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82740205 + ... + 83156537.

It is an arithmetic number, because the mean of its divisors is an integer number (813310134336).

Almost surely, 234534144143543 is an apocalyptic number.

34534144143543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34534144143543 is a deficient number, since it is larger than the sum of its proper divisors (17517704453961).

34534144143543 is a wasteful number, since it uses less digits than its factorization.

34534144143543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417096.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 3453414 and 4143543, that added together give a palindrome (7596957).

The spelling of 34534144143543 in words is "thirty-four trillion, five hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, five hundred forty-three".

Divisors: 1 3 11 33 41 101 123 303 451 607 1111 1353 1821 3333 4141 6677 12423 20031 24887 45551 61307 74661 136653 183921 273757 416333 674377 821271 1248999 2023131 2513587 4579663 7540761 13738989 17069653 27649457 42049633 51208959 82948371 126148899 187766183 252714131 462545963 563298549 758142393 1387637889 1724034953 2779855441 5172104859 8339566323 10361279371 18964384483 25524127231 31083838113 56893153449 76572381693 113974073081 280765399541 341922219243 842296198623 1046489216471 3139467649413 11511381381181 34534144143543