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42214155240 = 23358313730937
BaseRepresentation
bin100111010100001010…
…001110001111101000
311000221222101021111010
4213110022032033220
51142423310431430
631220511503520
73023051253615
oct472412161750
9130858337433
1042214155240
11169a2876704
128221527ba0
133c999cbbaa
14208669150c
15117109ccb0
hex9d428e3e8

42214155240 has 128 divisors (see below), whose sum is σ = 129107986560. Its totient is φ = 11039944704.

The previous prime is 42214155209. The next prime is 42214155253. The reversal of 42214155240 is 4255141224.

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

It is a junction number, because it is equal to n+sod(n) for n = 42214155198 and 42214155207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349052 + ... + 1379988.

It is an arithmetic number, because the mean of its divisors is an integer number (1008656145).

Almost surely, 242214155240 is an apocalyptic number.

42214155240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42214155240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64553993280).

42214155240 is an abundant number, since it is smaller than the sum of its proper divisors (86893831320).

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

42214155240 is a wasteful number, since it uses less digits than its factorization.

42214155240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31171 (or 31167 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 42214155240 its reverse (4255141224), we get a palindrome (46469296464).

The spelling of 42214155240 in words is "forty-two billion, two hundred fourteen million, one hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 137 166 249 274 332 411 415 498 548 664 685 822 830 996 1096 1245 1370 1644 1660 1992 2055 2490 2740 3288 3320 4110 4980 5480 8220 9960 11371 16440 22742 30937 34113 45484 56855 61874 68226 90968 92811 113710 123748 136452 154685 170565 185622 227420 247496 272904 309370 341130 371244 454840 464055 618740 682260 742488 928110 1237480 1364520 1856220 2567771 3712440 4238369 5135542 7703313 8476738 10271084 12715107 12838855 15406626 16953476 20542168 21191845 25430214 25677710 30813252 33906952 38516565 42383690 50860428 51355420 61626504 63575535 77033130 84767380 101720856 102710840 127151070 154066260 169534760 254302140 308132520 351784627 508604280 703569254 1055353881 1407138508 1758923135 2110707762 2814277016 3517846270 4221415524 5276769405 7035692540 8442831048 10553538810 14071385080 21107077620 42214155240