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422404444434 = 23735313072963
BaseRepresentation
bin1100010010110010100…
…01000101000100010010
31111101022002111001221010
412021121101011010102
523410041014210214
6522014441111350
742342401352000
oct6113121050422
91441262431833
10422404444434
1115316032a085
1269a46488556
1330aa91c985b
1416631943a70
15aec37b7659
hex6259445112

422404444434 has 128 divisors (see below), whose sum is σ = 1004895590400. Its totient is φ = 118279342272.

The previous prime is 422404444349. The next prime is 422404444481. The reversal of 422404444434 is 434444404224.

It is a junction number, because it is equal to n+sod(n) for n = 422404444392 and 422404444401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142558237 + ... + 142561199.

It is an arithmetic number, because the mean of its divisors is an integer number (7850746800).

Almost surely, 2422404444434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422404444434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502447795200).

422404444434 is an abundant number, since it is smaller than the sum of its proper divisors (582491145966).

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

422404444434 is a wasteful number, since it uses less digits than its factorization.

422404444434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 39.

Adding to 422404444434 its reverse (434444404224), we get a palindrome (856848848658).

The spelling of 422404444434 in words is "four hundred twenty-two billion, four hundred four million, four hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 343 371 686 742 1029 1113 1307 2058 2226 2597 2614 2963 3921 5194 5926 7791 7842 8889 9149 15582 17778 18179 18298 20741 27447 36358 41482 54537 54894 62223 64043 69271 109074 124446 128086 138542 145187 157039 192129 207813 290374 314078 384258 415626 435561 448301 471117 484897 871122 896602 942234 969794 1016309 1099273 1344903 1454691 2032618 2198546 2689806 2909382 3048927 3297819 3394279 3872641 6097854 6595638 6788558 7694911 7745282 10182837 11617923 15389822 20365674 23084733 23235846 23759953 27108487 46169466 47519906 53864377 54216974 71279859 81325461 107728754 142559718 161593131 162650922 189759409 205249973 323186262 379518818 410499946 569278227 615749919 1138556454 1231499838 1328315863 1436749811 2656631726 2873499622 3984947589 4310249433 7969895178 8620498866 10057248677 20114497354 30171746031 60343492062 70400740739 140801481478 211202222217 422404444434