Search a number
-
+
42224040420 = 223531103220399
BaseRepresentation
bin100111010100101111…
…111011100111100100
311000222122222111101220
4213110233323213210
51142433323243140
631221503420340
73023231264442
oct472457734744
9130878874356
1042224040420
11169a8408581
1282248b46b0
133c9ba80403
142087b05b92
151171da1bd0
hex9d4bfb9e4

42224040420 has 96 divisors (see below), whose sum is σ = 123226521600. Its totient is φ = 10790686080.

The previous prime is 42224040407. The next prime is 42224040427. The reversal of 42224040420 is 2404042224.

It is not an unprimeable number, because it can be changed into a prime (42224040427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81381 + ... + 301779.

It is an arithmetic number, because the mean of its divisors is an integer number (1283609600).

Almost surely, 242224040420 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 42224040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61613260800).

42224040420 is an abundant number, since it is smaller than the sum of its proper divisors (81002481180).

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

42224040420 is a wasteful number, since it uses less digits than its factorization.

42224040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220545 (or 220543 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42224040420 its reverse (2404042224), we get a palindrome (44628082644).

The spelling of 42224040420 in words is "forty-two billion, two hundred twenty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 103 124 155 186 206 309 310 372 412 465 515 618 620 930 1030 1236 1545 1860 2060 3090 3193 6180 6386 9579 12772 15965 19158 31930 38316 47895 63860 95790 191580 220399 440798 661197 881596 1101995 1322394 2203990 2644788 3305985 4407980 6611970 6832369 13223940 13664738 20497107 22701097 27329476 34161845 40994214 45402194 68103291 68323690 81988428 90804388 102485535 113505485 136206582 136647380 204971070 227010970 272413164 340516455 409942140 454021940 681032910 703734007 1362065820 1407468014 2111202021 2814936028 3518670035 4222404042 7037340070 8444808084 10556010105 14074680140 21112020210 42224040420