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12141414021040 = 245151767675263
BaseRepresentation
bin1011000010101110010010…
…1010110111011110110000
31120222201010000111200202021
42300223210222313132300
53042411103442133130
641453404423201224
72362121362242103
oct260534452673660
946881100450667
1012141414021040
113961165763977
121441106ba6214
136a0c131cc205
142dd90cd2c73a
15160c5cd5637a
hexb0ae4ab77b0

12141414021040 has 20 divisors (see below), whose sum is σ = 28228787599104. Its totient is φ = 4856565608384.

The previous prime is 12141414021019. The next prime is 12141414021047. The reversal of 12141414021040 is 4012041414121.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12141414020996 and 12141414021014.

It is not an unprimeable number, because it can be changed into a prime (12141414021047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75883837552 + ... + 75883837711.

Almost surely, 212141414021040 is an apocalyptic number.

12141414021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141414021040 is an abundant number, since it is smaller than the sum of its proper divisors (16087373578064).

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

12141414021040 is a wasteful number, since it uses less digits than its factorization.

12141414021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151767675276 (or 151767675270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 12141414021040 its reverse (4012041414121), we get a palindrome (16153455435161).

The spelling of 12141414021040 in words is "twelve trillion, one hundred forty-one billion, four hundred fourteen million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151767675263 303535350526 607070701052 758838376315 1214141402104 1517676752630 2428282804208 3035353505260 6070707010520 12141414021040