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14130024422304 = 2537101208186357
BaseRepresentation
bin1100110110011110011100…
…0101100001101110100000
31212000211001200210222111010
43031213213011201232200
53323001242223003204
650015124341420520
72655601114613010
oct315474705415640
955024050728433
1014130024422304
11455856746563a
1217025b070a740
137b65bcbc9a3b
1436bc7ac93c40
1519784ae87d89
hexcd9e7161ba0

14130024422304 has 96 divisors (see below), whose sum is σ = 42809777168256. Its totient is φ = 3997178035200.

The previous prime is 14130024422273. The next prime is 14130024422317. The reversal of 14130024422304 is 40322442003141.

14130024422304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104025307 + ... + 104161050.

It is an arithmetic number, because the mean of its divisors is an integer number (445935178836).

Almost surely, 214130024422304 is an apocalyptic number.

14130024422304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14130024422304 is an abundant number, since it is smaller than the sum of its proper divisors (28679752745952).

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

14130024422304 is a wasteful number, since it uses less digits than its factorization.

14130024422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208186478 (or 208186470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14130024422304 its reverse (40322442003141), we get a palindrome (54452466425445).

The spelling of 14130024422304 in words is "fourteen trillion, one hundred thirty billion, twenty-four million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 208186357 416372714 624559071 832745428 1249118142 1457304499 1665490856 2498236284 2914608998 3330981712 4371913497 4996472568 5829217996 6661963424 8743826994 9992945136 11658435992 17487653988 19985890272 21026822057 23316871984 34975307976 42053644114 46633743968 63080466171 69950615952 84107288228 126160932342 139901231904 147187754399 168214576456 252321864684 294375508798 336429152912 441563263197 504643729368 588751017596 672858305824 883126526394 1009287458736 1177502035192 1766253052788 2018574917472 2355004070384 3532506105576 4710008140768 7065012211152 14130024422304