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34001010043 = 71121310728859
BaseRepresentation
bin11111101010100111…
…100011110101111011
310020202120220021100021
4133222213203311323
51024113224310133
623341515351311
72312401550110
oct375247436573
9106676807307
1034001010043
1113468758100
12670aa52537
13328b27b470
141907982907
15d3eeed52d
hex7ea9e3d7b

34001010043 has 48 divisors (see below), whose sum is σ = 46429044480. Its totient is φ = 24226868160.

The previous prime is 34001010013. The next prime is 34001010047.

34001010043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34001010043 - 213 = 34001001851 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34001009999 and 34001010026.

It is not an unprimeable number, because it can be changed into a prime (34001010047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163748 + ... + 1192606.

It is an arithmetic number, because the mean of its divisors is an integer number (967271760).

Almost surely, 234001010043 is an apocalyptic number.

34001010043 is a deficient number, since it is larger than the sum of its proper divisors (12428034437).

34001010043 is a wasteful number, since it uses less digits than its factorization.

34001010043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29008 (or 28997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 340010 and 10043, that added together give a palindrome (350053).

The spelling of 34001010043 in words is "thirty-four billion, one million, ten thousand, forty-three".

Divisors: 1 7 11 13 77 91 107 121 143 749 847 1001 1177 1391 1573 8239 9737 11011 12947 15301 28859 90629 107107 168311 202013 317449 375167 1178177 2222143 2626169 3087913 3491939 4126837 21615391 24443573 28887859 33967043 40142869 45395207 237769301 281000083 317766449 373637473 441571559 2615462311 3091000913 4857287149 34001010043