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42003303424 = 210131521601
BaseRepresentation
bin100111000111100101…
…111000110000000000
311000102021121220011121
4213013211320300000
51142010321202144
631143540322024
73014611121365
oct470745706000
9130367556147
1042003303424
11168a4851605
1281829a3314
133c651153c4
14206668646c
15115c7ed384
hex9c7978c00

42003303424 has 88 divisors (see below), whose sum is σ = 84909985776. Its totient is φ = 20766720000.

The previous prime is 42003303413. The next prime is 42003303437. The reversal of 42003303424 is 42430330024.

It is a super-2 number, since 2×420033034242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69888724 + ... + 69889324.

It is an arithmetic number, because the mean of its divisors is an integer number (964886202).

Almost surely, 242003303424 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 42003303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42454992888).

42003303424 is an abundant number, since it is smaller than the sum of its proper divisors (42906682352).

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

42003303424 is a wasteful number, since it uses less digits than its factorization.

42003303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 42003303424 its reverse (42430330024), we get a palindrome (84433633448).

The spelling of 42003303424 in words is "forty-two billion, three million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 521 524 601 1024 1042 1048 1202 2084 2096 2404 4168 4192 4808 8336 8384 9616 16672 16768 19232 33344 33536 38464 66688 67072 68251 76928 78731 133376 134144 136502 153856 157462 266752 273004 307712 313121 314924 533504 546008 615424 626242 629848 1092016 1252484 1259696 2184032 2504968 2519392 4368064 5009936 5038784 8736128 10019872 10077568 17472256 20039744 20155136 34944512 40079488 40310272 41018851 69889024 80158976 80620544 82037702 160317952 164075404 320635904 328150808 656301616 1312603232 2625206464 5250412928 10500825856 21001651712 42003303424