Search a number
-
+
42424666704 = 24337103136207
BaseRepresentation
bin100111100000101101…
…010000101001010000
311001111122111100221000
4213200231100221100
51143341203313304
631253431502000
73031215500640
oct474055205120
9131448440830
1042424666704
1116aa0689022
12827bb27900
1340014c67a4
1420a660c520
1511847d1939
hex9e0b50a50

42424666704 has 160 divisors (see below), whose sum is σ = 140523069440. Its totient is φ = 12003562368.

The previous prime is 42424666657. The next prime is 42424666709. The reversal of 42424666704 is 40766642424.

It is a self number, because there is not a number n which added to its sum of digits gives 42424666704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42424666709) 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, 243369 + ... + 379575.

It is an arithmetic number, because the mean of its divisors is an integer number (878269184).

Almost surely, 242424666704 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 42424666704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70261534720).

42424666704 is an abundant number, since it is smaller than the sum of its proper divisors (98098402736).

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

42424666704 is a wasteful number, since it uses less digits than its factorization.

42424666704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136334 (or 136322 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 42424666704 in words is "forty-two billion, four hundred twenty-four million, six hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 103 108 112 126 144 168 189 206 216 252 309 336 378 412 432 504 618 721 756 824 927 1008 1236 1442 1512 1648 1854 2163 2472 2781 2884 3024 3708 4326 4944 5562 5768 6489 7416 8652 11124 11536 12978 14832 17304 19467 22248 25956 34608 38934 44496 51912 77868 103824 136207 155736 272414 311472 408621 544828 817242 953449 1089656 1225863 1634484 1906898 2179312 2451726 2860347 3268968 3677589 3813796 4903452 5720694 6537936 7355178 7627592 8581041 9806904 11441388 14029321 14710356 15255184 17162082 19613808 22882776 25743123 28058642 29420712 34324164 42087963 45765552 51486246 56117284 58841424 68648328 84175926 98205247 102972492 112234568 126263889 137296656 168351852 196410494 205944984 224469136 252527778 294615741 336703704 378791667 392820988 411889968 505055556 589231482 673407408 757583334 785641976 883847223 1010111112 1178462964 1515166668 1571283952 1767694446 2020222224 2356925928 2651541669 3030333336 3535388892 4713851856 5303083338 6060666672 7070777784 10606166676 14141555568 21212333352 42424666704