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14300322441120 = 253259930779473
BaseRepresentation
bin1101000000011000110110…
…1000111010011110100000
31212122002122001120200120100
43100012031220322132200
53333244030021103440
650225251043142400
73004110215106462
oct320061550723640
955562561520510
1014300322441120
114613807233751
12172b5b9074a00
137c968c809c01
143761d4346132
1519beb6a50230
hexd018da3a7a0

14300322441120 has 72 divisors (see below), whose sum is σ = 48799850335236. Its totient is φ = 3813419317248.

The previous prime is 14300322441077. The next prime is 14300322441131. The reversal of 14300322441120 is 2114422300341.

14300322441120 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 0 + 3 + 224 + 411 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12406935433104 + 1893387008016 = 3522348^2 + 1376004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4965388297 + ... + 4965391176.

Almost surely, 214300322441120 is an apocalyptic number.

14300322441120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14300322441120 is an abundant number, since it is smaller than the sum of its proper divisors (34499527894116).

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

14300322441120 is a wasteful number, since it uses less digits than its factorization.

14300322441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930779494 (or 9930779483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14300322441120 its reverse (2114422300341), we get a palindrome (16414744741461).

The spelling of 14300322441120 in words is "fourteen trillion, three hundred billion, three hundred twenty-two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9930779473 19861558946 29792338419 39723117892 49653897365 59584676838 79446235784 89377015257 99307794730 119169353676 148961692095 158892471568 178754030514 198615589460 238338707352 297923384190 317784943136 357508061028 397231178920 446885076285 476677414704 595846768380 715016122056 794462357840 893770152570 953354829408 1191693536760 1430032244112 1588924715680 1787540305140 2383387073520 2860064488224 3575080610280 4766774147040 7150161220560 14300322441120