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30150954180 = 223251723941227
BaseRepresentation
bin11100000101001000…
…110000110011000100
32212211021100011120200
4130011020300303010
5443222121013210
621503503330500
72115111611334
oct340510606304
985737304520
1030150954180
1111872478156
125a155b0a30
132ac67393b9
1416605010c4
15bb6ee60c0
hex705230cc4

30150954180 has 144 divisors (see below), whose sum is σ = 97245308160. Its totient is φ = 7535453184.

The previous prime is 30150954167. The next prime is 30150954187. The reversal of 30150954180 is 8145905103.

30150954180 is a `hidden beast` number, since 3 + 0 + 150 + 95 + 418 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30150954187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710727 + ... + 751953.

It is an arithmetic number, because the mean of its divisors is an integer number (675314640).

Almost surely, 230150954180 is an apocalyptic number.

30150954180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30150954180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48622654080).

30150954180 is an abundant number, since it is smaller than the sum of its proper divisors (67094353980).

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

30150954180 is a wasteful number, since it uses less digits than its factorization.

30150954180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41498 (or 41493 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 30150954180 in words is "thirty billion, one hundred fifty million, nine hundred fifty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 239 255 306 340 478 510 612 717 765 956 1020 1195 1434 1530 2151 2390 2868 3060 3585 4063 4302 4780 7170 8126 8604 10755 12189 14340 16252 20315 21510 24378 36567 40630 41227 43020 48756 60945 73134 81260 82454 121890 123681 146268 164908 182835 206135 243780 247362 365670 371043 412270 494724 618405 700859 731340 742086 824540 1236810 1401718 1484172 1855215 2102577 2473620 2803436 3504295 3710430 4205154 6307731 7008590 7420860 8410308 9853253 10512885 12615462 14017180 19706506 21025770 25230924 29559759 31538655 39413012 42051540 49266265 59119518 63077310 88679277 98532530 118239036 126154620 147798795 167505301 177358554 197065060 295597590 335010602 354717108 443396385 502515903 591195180 670021204 837526505 886792770 1005031806 1507547709 1675053010 1773585540 2010063612 2512579515 3015095418 3350106020 5025159030 6030190836 7537738545 10050318060 15075477090 30150954180