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30334536540 = 223257112188639
BaseRepresentation
bin11100010000000101…
…000100101101011100
32220022001210010020100
4130100011010231130
5444111120132130
621534022221100
72122501210020
oct342005045534
986261703210
1030334536540
1111957067310
125a66b84790
132b25795a09
14167aa4c380
15bc81aac60
hex710144b5c

30334536540 has 144 divisors (see below), whose sum is σ = 114719754240. Its totient is φ = 6303277440.

The previous prime is 30334536523. The next prime is 30334536553. The reversal of 30334536540 is 4563543303.

30334536540 is a `hidden beast` number, since 30 + 3 + 34 + 53 + 6 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30334536495 and 30334536504.

It is a congruent 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, 1080460 + ... + 1108179.

It is an arithmetic number, because the mean of its divisors is an integer number (796664960).

Almost surely, 230334536540 is an apocalyptic number.

30334536540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30334536540 is an abundant number, since it is smaller than the sum of its proper divisors (84385217700).

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

30334536540 is a wasteful number, since it uses less digits than its factorization.

30334536540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188672 (or 2188667 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The spelling of 30334536540 in words is "thirty billion, three hundred thirty-four million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 2188639 4377278 6565917 8754556 10943195 13131834 15320473 19697751 21886390 24075029 26263668 30640946 32829585 39395502 43772780 45961419 48150058 61281892 65659170 72225087 76602365 78791004 91922838 96300116 98488755 120375145 131318340 137884257 144450174 153204730 168525203 183845676 196977510 216675261 229807095 240750290 275768514 288900348 306409460 337050406 361125435 393955020 433350522 459614190 481500580 505575609 551537028 674100812 689421285 722250870 842626015 866701044 919228380 1011151218 1083376305 1378842570 1444501740 1516726827 1685252030 2022302436 2166752610 2527878045 2757685140 3033453654 3370504060 4333505220 5055756090 6066907308 7583634135 10111512180 15167268270 30334536540