Search a number
-
+
30042003672 = 23321923339413
BaseRepresentation
bin11011111110101001…
…001001100011011000
32212112200022220120200
4123332221021203120
5443011223104142
621445012222200
72112316550352
oct337651114330
985480286520
1030042003672
1111816a2300a
1259a500a960
132aa9cb0945
14164dc600d2
15bac67464c
hex6fea498d8

30042003672 has 96 divisors (see below), whose sum is σ = 85691876400. Its totient is φ = 9481874688.

The previous prime is 30042003671. The next prime is 30042003709. The reversal of 30042003672 is 27630024003.

It is a super-2 number, since 2×300420036722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30042003671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3186838 + ... + 3196250.

Almost surely, 230042003672 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 30042003672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42845938200).

30042003672 is an abundant number, since it is smaller than the sum of its proper divisors (55649872728).

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

30042003672 is a wasteful number, since it uses less digits than its factorization.

30042003672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11770 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 30042003672 its reverse (27630024003), we get a palindrome (57672027675).

The spelling of 30042003672 in words is "thirty billion, forty-two million, three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2333 4666 6999 9332 9413 13998 18664 18826 20997 27996 28239 37652 41994 44327 55992 56478 75304 83988 84717 88654 112956 132981 167976 169434 177308 178847 225912 265962 338868 354616 357694 398943 531924 536541 677736 715388 797886 1063848 1073082 1430776 1595772 1609623 2146164 3191544 3219246 4292328 6438492 12876984 21960529 43921058 65881587 87842116 131763174 175684232 197644761 263526348 395289522 417250051 527052696 790579044 834500102 1251750153 1581158088 1669000204 2503500306 3338000408 3755250459 5007000612 7510500918 10014001224 15021001836 30042003672