Search a number
-
+
42004424303232 = 273229979475637
BaseRepresentation
bin10011000110011111010101…
…10010100010001010000000
312111201120202112212202100020
421203033222302202022000
521001200030110200412
6225200322141253440
711563501535361036
oct1143175262421200
9174646675782306
1042004424303232
1112424a81514406
1248648a4864280
131a59000620b31
14a5304c7ac556
154cc97133418c
hex2633eaca2280

42004424303232 has 64 divisors (see below), whose sum is σ = 111574971784800. Its totient is φ = 14001384449024.

The previous prime is 42004424303227. The next prime is 42004424303243. The reversal of 42004424303232 is 23230342440024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×420044243032322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42004424303193 and 42004424303202.

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 7 ways as a sum of consecutive naturals, for example, 88074118 + ... + 88549754.

Almost surely, 242004424303232 is an apocalyptic number.

It is an amenable number.

42004424303232 is an abundant number, since it is smaller than the sum of its proper divisors (69570547481568).

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

42004424303232 is a wasteful number, since it uses less digits than its factorization.

42004424303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705633 (or 705621 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 42004424303232 its reverse (23230342440024), we get a palindrome (65234766743256).

The spelling of 42004424303232 in words is "forty-two trillion, four billion, four hundred twenty-four million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 229979 459958 475637 689937 919916 951274 1379874 1426911 1839832 1902548 2759748 2853822 3679664 3805096 5519496 5707644 7359328 7610192 11038992 11415288 14718656 15220384 22077984 22830576 29437312 30440768 44155968 45661152 60881536 88311936 91322304 182644608 109386521623 218773043246 328159564869 437546086492 656319129738 875092172984 1312638259476 1750184345968 2625276518952 3500368691936 5250553037904 7000737383872 10501106075808 14001474767744 21002212151616 42004424303232