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1042234334141 = 7111319232103591
BaseRepresentation
bin11110010101010100000…
…00011101101110111101
310200122012002202220012212
433022222000131232331
5114033443442143031
62114443522510205
7135204352445360
oct17125200355675
93618162686185
101042234334141
11372011124280
12149baa205365
13773892113c0
143863166c0d7
151c19e49d12b
hexf2aa01dbbd

1042234334141 has 96 divisors (see below), whose sum is σ = 1539857786880. Its totient is φ = 679318358400.

The previous prime is 1042234334131. The next prime is 1042234334143. The reversal of 1042234334141 is 1414334322401.

It is not a de Polignac number, because 1042234334141 - 218 = 1042234071997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1042234334098 and 1042234334107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042234334143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10009256 + ... + 10112846.

It is an arithmetic number, because the mean of its divisors is an integer number (16040185280).

Almost surely, 21042234334141 is an apocalyptic number.

1042234334141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1042234334141 is a deficient number, since it is larger than the sum of its proper divisors (497623452739).

1042234334141 is a wasteful number, since it uses less digits than its factorization.

1042234334141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103687 (or 103664 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1042234334141 its reverse (1414334322401), we get a palindrome (2456568656542).

The spelling of 1042234334141 in words is "one trillion, forty-two billion, two hundred thirty-four million, three hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 7 11 13 19 23 77 91 133 143 161 209 247 253 299 437 529 1001 1463 1729 1771 2093 2717 3059 3289 3703 4807 5681 5819 6877 10051 19019 23023 33649 39767 40733 48139 62491 70357 75647 103591 110561 130663 437437 529529 725137 773927 914641 1139501 1346683 1437293 1968229 2382593 7976507 9426781 10061051 13777603 14813513 16678151 21650519 25586977 26208523 30973709 45269267 54799639 103694591 151553633 179108839 183459661 216815963 281456747 316884869 340710799 383597473 497961937 588500471 602796029 712395307 1041193141 1970197229 2384975593 3485733559 4119503297 4219572203 4986767149 6473505181 7288351987 7836348377 11453124551 13535510833 45314536267 54854438639 80171871857 94748575831 148890619163 1042234334141