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30140300300 = 225211297331289
BaseRepresentation
bin11100000100100000…
…000111110000001100
32212210112021220012112
4130010200013300030
5443211404102200
621502443123152
72114622216425
oct340440076014
985715256175
1030140300300
11118674607a0
125a11b134b8
132ac4479026
14165cd2a64c
15bb60de535
hex704807c0c

30140300300 has 144 divisors (see below), whose sum is σ = 73968703200. Its totient is φ = 10559539200.

The previous prime is 30140300293. The next prime is 30140300363. The reversal of 30140300300 is 300304103.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23382056 + ... + 23383344.

It is an arithmetic number, because the mean of its divisors is an integer number (513671550).

Almost surely, 230140300300 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 30140300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36984351600).

30140300300 is an abundant number, since it is smaller than the sum of its proper divisors (43828402900).

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

30140300300 is a wasteful number, since it uses less digits than its factorization.

30140300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 30140300300 its reverse (300304103), we get a palindrome (30440604403).

The spelling of 30140300300 in words is "thirty billion, one hundred forty million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 733 1100 1276 1289 1450 1466 1595 2578 2900 2932 3190 3665 5156 6380 6445 7330 7975 8063 12890 14179 14660 15950 16126 18325 21257 25780 28358 31900 32225 32252 36650 37381 40315 42514 56716 64450 70895 73300 74762 80630 85028 106285 128900 141790 149524 161260 186905 201575 212570 233827 283580 354475 373810 403150 411191 425140 467654 531425 708950 747620 806300 822382 934525 935308 944837 1062850 1169135 1417900 1644764 1869050 1889674 2055955 2125700 2338270 3738100 3779348 4111910 4676540 4724185 5845675 8223820 9448370 10279775 10393207 11691350 18896740 20559550 20786414 23382700 23620925 27400273 41119100 41572828 47241850 51966035 54800546 94483700 103932070 109601092 137001365 207864140 259830175 274002730 301403003 519660350 548005460 602806006 685006825 1039320700 1205612012 1370013650 1507015015 2740027300 3014030030 6028060060 7535075075 15070150150 30140300300