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34414544541443 = 1126712793319031
BaseRepresentation
bin1111101001100110000101…
…01100111101011100000011
311111211222221210002002102012
413310303002230331130003
514002321441400311233
6201105453513243135
710151240332020263
oct764630254753403
9144758853062365
1034414544541443
11aa69143232300
123a399294034ab
13162837bc33951
1486d95c3d37a3
153ea3044c6548
hex1f4cc2b3d703

34414544541443 has 24 divisors (see below), whose sum is σ = 38422176522240. Its totient is φ = 30794889668400.

The previous prime is 34414544541389. The next prime is 34414544541469.

34414544541443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34414544541443 - 218 = 34414544279299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34414544541391 and 34414544541400.

It is not an unprimeable number, because it can be changed into a prime (34414544541473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8709338 + ... + 12028368.

It is an arithmetic number, because the mean of its divisors is an integer number (1600924021760).

Almost surely, 234414544541443 is an apocalyptic number.

34414544541443 is a deficient number, since it is larger than the sum of its proper divisors (4007631980797).

34414544541443 is a wasteful number, since it uses less digits than its factorization.

34414544541443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320399 (or 3320388 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

It can be divided in two parts, 3441454 and 4541443, that added together give a palindrome (7982897).

The spelling of 34414544541443 in words is "thirty-four trillion, four hundred fourteen billion, five hundred forty-four million, five hundred forty-one thousand, four hundred forty-three".

Divisors: 1 11 67 121 737 1279 8107 14069 85693 154759 942623 3319031 10368853 36509341 222375077 401602751 2446125847 4245040649 26907384317 46695447139 284417723483 513649918529 3128594958313 34414544541443