Search a number
-
+
330024023001200 = 245211174412085869
BaseRepresentation
bin100101100001001111011010…
…0101010001000100001110000
31121021111222200121011020202102
41023002132310222020201300
5321224103144342014300
63125522535415435532
7126341306642255543
oct11302366452104160
91537458617136672
10330024023001200
1196179447303980
1231020a49685ba8
131121c193834878
145b6d3684c885a
152824a3766e0d5
hex12c27b4a88870

330024023001200 has 120 divisors (see below), whose sum is σ = 915843136551120. Its totient is φ = 112949398220800.

The previous prime is 330024023001143. The next prime is 330024023001203. The reversal of 330024023001200 is 2100320420033.

It is a super-3 number, since 3×3300240230012003 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330024023001203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205968135 + ... + 2206117734.

It is an arithmetic number, because the mean of its divisors is an integer number (7632026137926).

Almost surely, 2330024023001200 is an apocalyptic number.

It is an amenable number.

330024023001200 is an abundant number, since it is smaller than the sum of its proper divisors (585819113549920).

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

330024023001200 is a wasteful number, since it uses less digits than its factorization.

330024023001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412085915 (or 4412085904 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 330024023001200 its reverse (2100320420033), we get a palindrome (332124343421233).

The spelling of 330024023001200 in words is "three hundred thirty trillion, twenty-four billion, twenty-three million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 4412085869 8824171738 17648343476 22060429345 35296686952 44120858690 48532944559 70593373904 75005459773 88241717380 97065889118 110302146725 150010919546 176483434760 194131778236 220604293450 242664722795 300021839092 352966869520 375027298865 388263556472 441208586900 485329445590 600043678184 750054597730 776527112944 825060057503 882417173800 970658891180 1200087356368 1213323613975 1500109195460 1650120115006 1764834347600 1875136494325 1941317782360 2426647227950 3000218390920 3300240230012 3750272988650 3882635564720 4125300287515 4853294455900 6000436781840 6600480460024 7500545977300 8250600575030 9706588911800 13200960920048 15001091954600 16501201150060 19413177823600 20626501437575 30002183909200 33002402300120 41253002875150 66004804600240 82506005750300 165012011500600 330024023001200