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42403434424 = 23132173834817
BaseRepresentation
bin100111011111011100…
…010000111110111000
311001110011112122201021
4213133130100332320
51143320234400144
631251352432224
73030540150151
oct473734207670
9131404478637
1042403434424
1116a8a6a698a
1282749a8674
133cc9ca1500
1420a3882928
1511829da884
hex9df710fb8

42403434424 has 96 divisors (see below), whose sum is σ = 91414033920. Its totient is φ = 18367684608.

The previous prime is 42403434419. The next prime is 42403434431. The reversal of 42403434424 is 42443430424.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 42403434424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8800464 + ... + 8805280.

It is an arithmetic number, because the mean of its divisors is an integer number (952229520).

Almost surely, 242403434424 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 42403434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45707016960).

42403434424 is an abundant number, since it is smaller than the sum of its proper divisors (49010599496).

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

42403434424 is a wasteful number, since it uses less digits than its factorization.

42403434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 42403434424 its reverse (42443430424), we get a palindrome (84846864848).

The spelling of 42403434424 in words is "forty-two billion, four hundred three million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 383 442 676 766 884 1352 1532 1768 2873 3064 4817 4979 5746 6511 9634 9958 11492 13022 19268 19916 22984 26044 38536 39832 52088 62621 64727 81889 84643 125242 129454 163778 169286 250484 258908 327556 338572 500968 517816 655112 677144 814073 1064557 1100359 1628146 1844911 2129114 2200718 3256292 3689822 4258228 4401436 6512584 7379644 8516456 8802872 13839241 14759288 23983843 27678482 31363487 47967686 55356964 62726974 95935372 110713928 125453948 191870744 250907896 311789959 407725331 623579918 815450662 1247159836 1630901324 2494319672 3261802648 5300429303 10600858606 21201717212 42403434424