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1034020314340 = 2251347671262941
BaseRepresentation
bin11110000110000000110…
…10011101110011100100
310122211222122122110100021
433003000122131303210
5113420133200024330
62111004455524524
7134463662436646
oct17030032356344
93584878573307
101034020314340
11369586568662
12148497389744
137667a545860
14380927b2896
151bd6d2c967a
hexf0c069dce4

1034020314340 has 96 divisors (see below), whose sum is σ = 2423878700544. Its totient is φ = 368091440640.

The previous prime is 1034020314311. The next prime is 1034020314343. The reversal of 1034020314340 is 434130204301.

It is not an unprimeable number, because it can be changed into a prime (1034020314343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 187270 + ... + 1450210.

It is an arithmetic number, because the mean of its divisors is an integer number (25248736464).

Almost surely, 21034020314340 is an apocalyptic number.

1034020314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034020314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211939350272).

1034020314340 is an abundant number, since it is smaller than the sum of its proper divisors (1389858386204).

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

1034020314340 is a wasteful number, since it uses less digits than its factorization.

1034020314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263077 (or 1263075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1034020314340 its reverse (434130204301), we get a palindrome (1468150518641).

The spelling of 1034020314340 in words is "one trillion, thirty-four billion, twenty million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 67 94 130 134 188 235 260 268 335 470 611 670 871 940 1222 1340 1742 2444 3055 3149 3484 4355 6110 6298 8710 12220 12596 15745 17420 31490 40937 62980 81874 163748 204685 409370 818740 1262941 2525882 5051764 6314705 12629410 16418233 25258820 32836466 59358227 65672932 82091165 84617047 118716454 164182330 169234094 237432908 296791135 328364660 338468188 423085235 593582270 771656951 846170470 1100021611 1187164540 1543313902 1692340940 2200043222 3086627804 3858284755 3977001209 4400086444 5500108055 7716569510 7954002418 11000216110 15433139020 15908004836 19885006045 22000432220 39770012090 51701015717 79540024180 103402031434 206804062868 258505078585 517010157170 1034020314340