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1024134034434 = 2371910312459961
BaseRepresentation
bin11101110011100110010…
…01010011010000000010
310121220110122212101212020
432321303021103100002
5113234411303100214
62102251454342310
7133663665442320
oct16716311232002
93556418771766
101024134034434
11365372a661a5
121465984ba996
1375763293aa4
14377d57b2d10
151b9903d14a9
hexee73253402

1024134034434 has 64 divisors (see below), whose sum is σ = 2488005212160. Its totient is φ = 274517838720.

The previous prime is 1024134034421. The next prime is 1024134034439. The reversal of 1024134034434 is 4344304314201.

It is a super-2 number, since 2×10241340344342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024134034395 and 1024134034404.

It is not an unprimeable number, because it can be changed into a prime (1024134034439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6147787 + ... + 6312174.

It is an arithmetic number, because the mean of its divisors is an integer number (38875081440).

Almost surely, 21024134034434 is an apocalyptic number.

1024134034434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1024134034434 is an abundant number, since it is smaller than the sum of its proper divisors (1463871177726).

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

1024134034434 is a wasteful number, since it uses less digits than its factorization.

1024134034434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460095.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1024134034434 its reverse (4344304314201), we get a palindrome (5368438348635).

The spelling of 1024134034434 in words is "one trillion, twenty-four billion, one hundred thirty-four million, thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 103 114 133 206 266 309 399 618 721 798 1442 1957 2163 3914 4326 5871 11742 13699 27398 41097 82194 12459961 24919922 37379883 74759766 87219727 174439454 236739259 261659181 473478518 523318362 710217777 1283375983 1420435554 1657174813 2566751966 3314349626 3850127949 4971524439 7700255898 8983631881 9943048878 17967263762 24384143677 26950895643 48768287354 53901791286 73152431031 146304862062 170689005739 341378011478 512067017217 1024134034434