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42333314304 = 283316726539
BaseRepresentation
bin100111011011010000…
…110001110100000000
311001021021121011222210
4213123100301310000
51143144312024204
631240405502120
73026026143261
oct473320616400
9131237534883
1042333314304
1116a54063676
128255411940
133cb85c0108
14209842c968
15117b789389
hex9db431d00

42333314304 has 144 divisors (see below), whose sum is σ = 118043125760. Its totient is φ = 13451581440.

The previous prime is 42333314293. The next prime is 42333314321. The reversal of 42333314304 is 40341333324.

It is a super-2 number, since 2×423333143042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581867 + ... + 1608405.

Almost surely, 242333314304 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 42333314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59021562880).

42333314304 is an abundant number, since it is smaller than the sum of its proper divisors (75709811456).

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

42333314304 is a wasteful number, since it uses less digits than its factorization.

42333314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26656 (or 26642 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 42333314304 its reverse (40341333324), we get a palindrome (82674647628).

The spelling of 42333314304 in words is "forty-two billion, three hundred thirty-three million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 93 96 124 128 134 186 192 201 248 256 268 372 384 402 496 536 744 768 804 992 1072 1488 1608 1984 2077 2144 2976 3216 3968 4154 4288 5952 6231 6432 7936 8308 8576 11904 12462 12864 16616 17152 23808 24924 25728 26539 33232 49848 51456 53078 66464 79617 99696 106156 132928 159234 199392 212312 265856 318468 398784 424624 531712 636936 797568 822709 849248 1273872 1595136 1645418 1698496 1778113 2468127 2547744 3290836 3396992 3556226 4936254 5095488 5334339 6581672 6793984 7112452 9872508 10190976 10668678 13163344 14224904 19745016 20381952 21337356 26326688 28449808 39490032 42674712 52653376 55121503 56899616 78980064 85349424 105306752 110243006 113799232 157960128 165364509 170698848 210613504 220486012 227598464 315920256 330729018 341397696 440972024 455196928 631840512 661458036 682795392 881944048 1322916072 1365590784 1763888096 2645832144 3527776192 5291664288 7055552384 10583328576 14111104768 21166657152 42333314304