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34135453143 = 32112191649773
BaseRepresentation
bin11111110010101000…
…011010110111010111
310021002221212200121100
4133302220122313113
51024402134000033
623403121121143
72315623364361
oct376250326727
9107087780540
1034135453143
1113527634200
126747a891b3
1332b00913ac
14191b77bd31
15d4bc08513
hex7f2a1add7

34135453143 has 36 divisors (see below), whose sum is σ = 57049184920. Its totient is φ = 19599291360.

The previous prime is 34135453133. The next prime is 34135453211.

34135453143 is a `hidden beast` number, since 3 + 41 + 3 + 545 + 31 + 43 = 666.

34135453143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34135453143 - 28 = 34135452887 is a prime.

It is a super-2 number, since 2×341354531432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34135453098 and 34135453107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135453103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804196 + ... + 845577.

Almost surely, 234135453143 is an apocalyptic number.

34135453143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34135453143 is a deficient number, since it is larger than the sum of its proper divisors (22913731777).

34135453143 is a wasteful number, since it uses less digits than its factorization.

34135453143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649820 (or 1649806 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 3413 and 5453143, that added together give a triangular number (5456556 = T3303).

The spelling of 34135453143 in words is "thirty-four billion, one hundred thirty-five million, four hundred fifty-three thousand, one hundred forty-three".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 6897 20691 1649773 4949319 14847957 18147503 31345687 54442509 94037061 163327527 199622533 282111183 344802557 598867599 1034407671 1796602797 3103223013 3792828127 11378484381 34135453143