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34434010133420 = 225137271105144123
BaseRepresentation
bin1111101010001010010101…
…11100010011001110101100
311111220212012101000121200012
413311011022330103032230
514003131323043232140
6201122433232352352
710152526604562302
oct765051274231654
9144825171017605
1034434010133420
11aa764220336a7
123a416603a56b8
13162a16199a001
14870887728272
153eaa9337e265
hex1f514af133ac

34434010133420 has 96 divisors (see below), whose sum is σ = 73179240293376. Its totient is φ = 13609342656000.

The previous prime is 34434010133381. The next prime is 34434010133443. The reversal of 34434010133420 is 2433101043443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780387479 + ... + 780431601.

It is an arithmetic number, because the mean of its divisors is an integer number (762283753056).

Almost surely, 234434010133420 is an apocalyptic number.

It is an amenable number.

34434010133420 is an abundant number, since it is smaller than the sum of its proper divisors (38745230159956).

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

34434010133420 is a wasteful number, since it uses less digits than its factorization.

34434010133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45591 (or 45589 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34434010133420 its reverse (2433101043443), we get a palindrome (36867111176863).

The spelling of 34434010133420 in words is "thirty-four trillion, four hundred thirty-four billion, ten million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 271 274 542 548 685 1051 1084 1355 1370 2102 2710 2740 4204 5255 5420 10510 21020 37127 44123 74254 88246 143987 148508 176492 185635 220615 284821 287974 371270 441230 569642 575948 719935 742540 882460 1139284 1424105 1439870 2848210 2879740 5696420 6044851 11957333 12089702 23914666 24179404 30224255 39020477 46373273 47829332 59786665 60448510 78040954 92746546 119573330 120897020 156081908 185493092 195102385 231866365 239146660 390204770 463732730 780409540 927465460 1638154621 3276309242 6353138401 6552618484 8190773105 12567156983 12706276802 16381546210 25134313966 25412553604 31765692005 32763092420 50268627932 62835784915 63531384010 125671569830 127062768020 251343139660 1721700506671 3443401013342 6886802026684 8608502533355 17217005066710 34434010133420