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14107449975072 = 2531468571000651
BaseRepresentation
bin1100110101001010010110…
…0010110110000100100000
31211221122210110000020112220
43031102211202312010200
53322114024143200242
650000512324551040
72654141522152026
oct315224542660440
954848713006486
1014107449975072
114549a32804283
1216ba150552480
137b4433057b5c
1436ab38adc716
15196e791d7bec
hexcd4a58b6120

14107449975072 has 48 divisors (see below), whose sum is σ = 37032345356832. Its totient is φ = 4702446604800.

The previous prime is 14107449975041. The next prime is 14107449975107. The reversal of 14107449975072 is 27057994470141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 14107449974997 and 14107449975015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13597947 + ... + 14598597.

It is an arithmetic number, because the mean of its divisors is an integer number (771507194934).

Almost surely, 214107449975072 is an apocalyptic number.

14107449975072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14107449975072 is an abundant number, since it is smaller than the sum of its proper divisors (22924895381760).

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

14107449975072 is a wasteful number, since it uses less digits than its factorization.

14107449975072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147521 (or 1147513 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 14107449975072 in words is "fourteen trillion, one hundred seven billion, four hundred forty-nine million, nine hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 146857 293714 440571 587428 881142 1000651 1174856 1762284 2001302 2349712 3001953 3524568 4002604 4699424 6003906 7049136 8005208 12007812 14098272 16010416 24015624 32020832 48031248 96062496 146952603907 293905207814 440857811721 587810415628 881715623442 1175620831256 1763431246884 2351241662512 3526862493768 4702483325024 7053724987536 14107449975072