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1020443134340 = 225770181112821
BaseRepresentation
bin11101101100101110010…
…01101000100110000100
310121112221102210020202202
432312113021220212010
5113204331420244330
62100441325454032
7133503350345540
oct16662711504604
93545842706682
101020443134340
11363849601343
12145928411318
13752c5708136
1437565520a20
151b826366445
hexed97268984

1020443134340 has 96 divisors (see below), whose sum is σ = 2455772836608. Its totient is φ = 348909120000.

The previous prime is 1020443134313. The next prime is 1020443134343. The reversal of 1020443134340 is 434313440201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1020443134343) 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, 79585130 + ... + 79597950.

It is an arithmetic number, because the mean of its divisors is an integer number (25580967048).

Almost surely, 21020443134340 is an apocalyptic number.

1020443134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020443134340 is an abundant number, since it is smaller than the sum of its proper divisors (1435329702268).

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

1020443134340 is a wasteful number, since it uses less digits than its factorization.

1020443134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14349 (or 14347 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1020443134340 its reverse (434313440201), we get a palindrome (1454756574541).

The spelling of 1020443134340 in words is "one trillion, twenty billion, four hundred forty-three million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 701 811 1402 1622 2804 3244 3505 4055 4907 5677 7010 8110 9814 11354 12821 14020 16220 19628 22708 24535 25642 28385 49070 51284 56770 64105 89747 98140 113540 128210 179494 256420 358988 448735 568511 897470 1137022 1794940 2274044 2842555 3979577 5685110 7959154 8987521 10397831 11370220 15918308 17975042 19897885 20795662 35950084 39795770 41591324 44937605 51989155 62912647 72784817 79591540 89875210 103978310 125825294 145569634 179750420 207956620 251650588 291139268 314563235 363924085 629126470 727848170 1258252940 1455696340 7288879531 14577759062 29155518124 36444397655 51022156717 72888795310 102044313434 145777590620 204088626868 255110783585 510221567170 1020443134340