Search a number
-
+
42233424030 = 2335747475441
BaseRepresentation
bin100111010101010011…
…101110100010011110
311001000022122020022000
4213111103232202132
51142443224032110
631222440503130
73023404116060
oct472523564236
9131008566260
1042233424030
1116a02737626
128227a7aaa6
133ca09b7545
142089069730
151172b071c0
hex9d54ee89e

42233424030 has 128 divisors (see below), whose sum is σ = 131450204160. Its totient is φ = 9447943680.

The previous prime is 42233424007. The next prime is 42233424031. The reversal of 42233424030 is 3042433224.

42233424030 is a `hidden beast` number, since 4 + 2 + 233 + 424 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42233423985 and 42233424003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233424031) 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, 148891 + ... + 326550.

It is an arithmetic number, because the mean of its divisors is an integer number (1026954720).

Almost surely, 242233424030 is an apocalyptic number.

42233424030 is an abundant number, since it is smaller than the sum of its proper divisors (89216780130).

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

42233424030 is a wasteful number, since it uses less digits than its factorization.

42233424030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475511 (or 475505 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42233424030 its reverse (3042433224), we get a palindrome (45275857254).

The spelling of 42233424030 in words is "forty-two billion, two hundred thirty-three million, four hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 90 94 105 126 135 141 189 210 235 270 282 315 329 378 423 470 630 658 705 846 945 987 1269 1410 1645 1890 1974 2115 2538 2961 3290 4230 4935 5922 6345 8883 9870 12690 14805 17766 29610 44415 88830 475441 950882 1426323 2377205 2852646 3328087 4278969 4754410 6656174 7131615 8557938 9984261 12836907 14263230 16640435 19968522 21394845 22345727 25673814 29952783 33280870 42789690 44691454 49921305 59905566 64184535 67037181 89858349 99842610 111728635 128369070 134074362 149763915 156420089 179716698 201111543 223457270 299527830 312840178 335185905 402223086 449291745 469260267 603334629 670371810 782100445 898583490 938520534 1005557715 1206669258 1407780801 1564200890 2011115430 2346301335 2815561602 3016673145 4223342403 4692602670 6033346290 7038904005 8446684806 14077808010 21116712015 42233424030