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42035231424 = 2631773176417
BaseRepresentation
bin100111001001011111…
…101011101011000000
311000111111201000011010
4213021133223223000
51142042004401144
631151040520520
73015446400054
oct471137535300
9130444630133
1042035231424
111691087958a
128191620140
133c6b913b04
14206a9d7c64
1511605085b9
hex9c97ebac0

42035231424 has 112 divisors (see below), whose sum is σ = 119374298208. Its totient is φ = 13006798848.

The previous prime is 42035231401. The next prime is 42035231449. The reversal of 42035231424 is 42413253024.

It is a junction number, because it is equal to n+sod(n) for n = 42035231391 and 42035231400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150064 + ... + 326480.

Almost surely, 242035231424 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 42035231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59687149104).

42035231424 is an abundant number, since it is smaller than the sum of its proper divisors (77339066784).

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

42035231424 is a wasteful number, since it uses less digits than its factorization.

42035231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176522 (or 176512 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42035231424 its reverse (42413253024), we get a palindrome (84448484448).

The spelling of 42035231424 in words is "forty-two billion, thirty-five million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 73 96 102 136 146 192 204 219 272 292 408 438 544 584 816 876 1088 1168 1241 1632 1752 2336 2482 3264 3504 3723 4672 4964 7008 7446 9928 14016 14892 19856 29784 39712 59568 79424 119136 176417 238272 352834 529251 705668 1058502 1411336 2117004 2822672 2999089 4234008 5645344 5998178 8468016 8997267 11290688 11996356 12878441 16936032 17994534 23992712 25756882 33872064 35989068 38635323 47985424 51513764 71978136 77270646 95970848 103027528 143956272 154541292 191941696 206055056 218933497 287912544 309082584 412110112 437866994 575825088 618165168 656800491 824220224 875733988 1236330336 1313600982 1751467976 2472660672 2627201964 3502935952 5254403928 7005871904 10508807856 14011743808 21017615712 42035231424