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1314430021120 = 295975293291
BaseRepresentation
bin10011001000001010001…
…000100110111000000000
311122122202212222110212211
4103020022020212320000
5133013423041133440
62443501341031504
7163651541555656
oct23101210467000
94578685873784
101314430021120
114674a0530687
121928b3b55594
1396c47829388
1447893bdcdd6
15242d0b9beea
hex1320a226e00

1314430021120 has 80 divisors (see below), whose sum is σ = 3184042177008. Its totient is φ = 520351580160.

The previous prime is 1314430021117. The next prime is 1314430021139. The reversal of 1314430021120 is 211200344131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1314430021091 and 1314430021100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2398326 + ... + 2894965.

Almost surely, 21314430021120 is an apocalyptic number.

1314430021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314430021120 is an abundant number, since it is smaller than the sum of its proper divisors (1869612155888).

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

1314430021120 is an frugal number, since it uses more digits than its factorization.

1314430021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293411 (or 5293395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1314430021120 its reverse (211200344131), we get a palindrome (1525630365251).

The spelling of 1314430021120 in words is "one trillion, three hundred fourteen billion, four hundred thirty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1280 1552 1940 2560 3104 3880 6208 7760 12416 15520 24832 31040 49664 62080 124160 248320 5293291 10586582 21173164 26466455 42346328 52932910 84692656 105865820 169385312 211731640 338770624 423463280 513449227 677541248 846926560 1026898454 1355082496 1693853120 2053796908 2567246135 2710164992 3387706240 4107593816 5134492270 6775412480 8215187632 10268984540 13550824960 16430375264 20537969080 32860750528 41075938160 65721501056 82151876320 131443002112 164303752640 262886004224 328607505280 657215010560 1314430021120