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30140004132 = 22327415475333
BaseRepresentation
bin11100000100011110…
…111111011100100100
32212210111201211221100
4130010132333130210
5443211320113012
621502432520100
72114616544110
oct340436773444
985714654840
1030140004132
1111867279227
125a119b0030
132ac43a4294
14165cc90740
15bb60818dc
hex7047bf724

30140004132 has 144 divisors (see below), whose sum is σ = 89374626432. Its totient is φ = 8384463360.

The previous prime is 30140004131. The next prime is 30140004151. The reversal of 30140004132 is 23140004103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30140004131) 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 47 ways as a sum of consecutive naturals, for example, 5648938 + ... + 5654270.

It is an arithmetic number, because the mean of its divisors is an integer number (620657128).

Almost surely, 230140004132 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 30140004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44687313216).

30140004132 is an abundant number, since it is smaller than the sum of its proper divisors (59234622300).

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

30140004132 is a wasteful number, since it uses less digits than its factorization.

30140004132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30140004132 its reverse (23140004103), we get a palindrome (53280008235).

The spelling of 30140004132 in words is "thirty billion, one hundred forty million, four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 547 574 738 861 1094 1148 1476 1641 1722 2188 2583 3282 3444 3829 4923 5166 5333 6564 7658 9846 10332 10666 11487 15316 15999 19692 21332 22427 22974 31998 34461 37331 44854 45948 47997 63996 67281 68922 74662 89708 95994 111993 134562 137844 149324 156989 191988 201843 218653 223986 269124 313978 335979 403686 437306 447972 470967 627956 655959 671958 807372 874612 941934 1311918 1343916 1412901 1530571 1883868 1967877 2623836 2825802 2917151 3061142 3935754 4591713 5651604 5834302 6122284 7871508 8751453 9183426 11668604 13775139 17502906 18366852 20420057 26254359 27550278 35005812 40840114 52508718 55100556 61260171 81680228 105017436 119603191 122520342 183780513 239206382 245040684 358809573 367561026 478412764 717619146 735122052 837222337 1076428719 1435238292 1674444674 2152857438 2511667011 3348889348 4305714876 5023334022 7535001033 10046668044 15070002066 30140004132