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12142400001040 = 2451511005165563
BaseRepresentation
bin1011000010110001111101…
…1100000101010000010000
31120222210122201210200001001
42300230133130011100100
53042420113400013130
641454050324151344
72362154664031261
oct260543734052020
946883581720031
1012142400001040
113961621281281
121441341238554
136a103c56ab2a
142dd9a3c6a968
15160cb96b86ca
hexb0b1f705410

12142400001040 has 40 divisors (see below), whose sum is σ = 28418040825408. Its totient is φ = 4824794697600.

The previous prime is 12142400000999. The next prime is 12142400001041. The reversal of 12142400001040 is 4010000424121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12142400000999 and 12142400001017.

It is not an unprimeable number, because it can be changed into a prime (12142400001041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502570702 + ... + 502594861.

Almost surely, 212142400001040 is an apocalyptic number.

12142400001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142400001040 is an abundant number, since it is smaller than the sum of its proper divisors (16275640824368).

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

12142400001040 is a wasteful number, since it uses less digits than its factorization.

12142400001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005165727 (or 1005165721 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12142400001040 its reverse (4010000424121), we get a palindrome (16152400425161).

The spelling of 12142400001040 in words is "twelve trillion, one hundred forty-two billion, four hundred million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 1005165563 2010331126 4020662252 5025827815 8041324504 10051655630 16082649008 20103311260 40206622520 80413245040 151780000013 303560000026 607120000052 758900000065 1214240000104 1517800000130 2428480000208 3035600000260 6071200000520 12142400001040