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42234320040330 = 23511435641527627
BaseRepresentation
bin10011001101001011100011…
…01001001011000110001010
312112112120011101021020101210
421212211301221023012022
521013431341412242310
6225454102340553550
711616220552035315
oct1146456151130612
9175476141236353
1042234320040330
1112503524686350
1248a13643b28b6
131a748aa52b172
14a6021b11797c
154d3929189820
hex266971a4b18a

42234320040330 has 128 divisors (see below), whose sum is σ = 113168962722816. Its totient is φ = 9998723750400.

The previous prime is 42234320040301. The next prime is 42234320040337. The reversal of 42234320040330 is 3304002343224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42234320040337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79781977 + ... + 80309603.

It is an arithmetic number, because the mean of its divisors is an integer number (884132521272).

Almost surely, 242234320040330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234320040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56584481361408).

42234320040330 is an abundant number, since it is smaller than the sum of its proper divisors (70934642682486).

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

42234320040330 is a wasteful number, since it uses less digits than its factorization.

42234320040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533332.

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 42234320040330 its reverse (3304002343224), we get a palindrome (45538322383554).

The spelling of 42234320040330 in words is "forty-two trillion, two hundred thirty-four billion, three hundred twenty million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 5641 7095 11282 14190 16923 28205 33846 56410 62051 84615 124102 169230 186153 242563 310255 372306 485126 527627 620510 727689 930765 1055254 1212815 1455378 1582881 1861530 2425630 2638135 2668193 3165762 3638445 5276270 5336386 5803897 7276890 7914405 8004579 11607794 13340965 15828810 16009158 17411691 22687961 26681930 29019485 34823382 40022895 45375922 58038970 68063883 80045790 87058455 113439805 136127766 174116910 226879610 249567571 340319415 499135142 680638830 748702713 1247837855 1497405426 2495675710 2976343907 3743513565 5952687814 7487027130 8929031721 14881719535 17858063442 29763439070 32739782977 44645158605 65479565954 89290317210 98219348931 127982788001 163698914885 196438697862 255965576002 327397829770 383948364003 491096744655 639913940005 767896728006 982193489310 1279827880010 1407810668011 1919741820015 2815621336022 3839483640030 4223432004033 7039053340055 8446864008066 14078106680110 21117160020165 42234320040330