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34243143012 = 2235132208459
BaseRepresentation
bin11111111001000011…
…001110010101100100
310021101110111220100000
4133321003032111210
51030112221034022
623421525221300
72321401625121
oct377103162544
9107343456300
1034243143012
11135823a81a1
126777b61830
1332c9498100
14192bbb1748
15d563cb6ac
hex7f90ce564

34243143012 has 108 divisors (see below), whose sum is σ = 97201562640. Its totient is φ = 10536301152.

The previous prime is 34243142963. The next prime is 34243143031. The reversal of 34243143012 is 21034134243.

34243143012 is a `hidden beast` number, since 3 + 42 + 4 + 314 + 301 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×342431430123 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60039 + ... + 268497.

Almost surely, 234243143012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34243143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600781320).

34243143012 is an abundant number, since it is smaller than the sum of its proper divisors (62958419628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34243143012 is a wasteful number, since it uses less digits than its factorization.

34243143012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208504 (or 208477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34243143012 its reverse (21034134243), we get a palindrome (55277277255).

The spelling of 34243143012 in words is "thirty-four billion, two hundred forty-three million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 468 486 507 676 702 972 1014 1053 1404 1521 2028 2106 3042 3159 4212 4563 6084 6318 9126 12636 13689 18252 27378 41067 54756 82134 164268 208459 416918 625377 833836 1250754 1876131 2501508 2709967 3752262 5419934 5628393 7504524 8129901 10839868 11256786 16259802 16885179 22513572 24389703 32519604 33770358 35229571 48779406 50655537 67540716 70459142 73169109 97558812 101311074 105688713 140918284 146338218 202622148 211377426 219507327 292676436 317066139 422754852 439014654 634132278 658521981 878029308 951198417 1268264556 1317043962 1902396834 2634087924 2853595251 3804793668 5707190502 8560785753 11414381004 17121571506 34243143012