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34225401331660 = 225711210691889981
BaseRepresentation
bin1111100100000101110001…
…11000110111111111001100
311111011220202001202111021011
413302002320320313333030
513441222110220103120
6200442533214015004
710131463231200010
oct762027070677714
9144156661674234
1034225401331660
11a9a5a02885300
123a091417a7464
131613597c79ac6
14864738184540
153e5434253c5a
hex1f20b8e37fcc

34225401331660 has 144 divisors (see below), whose sum is σ = 90371681709120. Its totient is φ = 10657672819200.

The previous prime is 34225401331643. The next prime is 34225401331691. The reversal of 34225401331660 is 6613310452243.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17163870 + ... + 19053850.

It is an arithmetic number, because the mean of its divisors is an integer number (627581122980).

Almost surely, 234225401331660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34225401331660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45185840854560).

34225401331660 is an abundant number, since it is smaller than the sum of its proper divisors (56146280377460).

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

34225401331660 is a wasteful number, since it uses less digits than its factorization.

34225401331660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891088 (or 1891075 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 34225401331660 in words is "thirty-four trillion, two hundred twenty-five billion, four hundred one million, three hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1069 1210 1540 1694 2138 2420 3388 4235 4276 5345 7483 8470 10690 11759 14966 16940 21380 23518 29932 37415 47036 58795 74830 82313 117590 129349 149660 164626 235180 258698 329252 411565 517396 646745 823130 905443 1293490 1646260 1810886 1889981 2586980 3621772 3779962 4527215 7559924 9054430 9449905 13229867 18108860 18899810 20789791 26459734 37799620 41579582 52919468 66149335 83159164 103948955 132298670 145528537 207897910 228687701 264597340 291057074 415795820 457375402 582114148 727642685 914750804 1143438505 1455285370 1600813907 2020389689 2286877010 2910570740 3201627814 4040779378 4573754020 6403255628 8004069535 8081558756 10101948445 14142727823 16008139070 20203896890 22224286579 28285455646 32016278140 40407793780 44448573158 56570911292 70713639115 88897146316 111121432895 141427278230 155570006053 222242865790 244467152369 282854556460 311140012106 444485731580 488934304738 622280024212 777850030265 977868609476 1222335761845 1555700060530 1711270066583 2444671523690 3111400121060 3422540133166 4889343047380 6845080266332 8556350332915 17112700665830 34225401331660