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2342120114000 = 24531171060057
BaseRepresentation
bin100010000101010001001…
…111001100011101010000
322021220102101012100212102
4202011101033030131100
5301333130222122000
64551542150215532
7331132630330532
oct42052117143520
98256371170772
102342120114000
11823318822157
12319b033545a8
1313cb26756654
14815059a3852
1540dcd3603d5
hex221513cc750

2342120114000 has 40 divisors (see below), whose sum is σ = 5663246440488. Its totient is φ = 936848044800.

The previous prime is 2342120113967. The next prime is 2342120114039. The reversal of 2342120114000 is 4110212432.

It can be written as a sum of positive squares in 4 ways, for example, as 347845166656 + 1994274947344 = 589784^2 + 1412188^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585528029 + ... + 585532028.

Almost surely, 22342120114000 is an apocalyptic number.

2342120114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342120114000 is an abundant number, since it is smaller than the sum of its proper divisors (3321126326488).

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

2342120114000 is a wasteful number, since it uses less digits than its factorization.

2342120114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171060080 (or 1171060064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2342120114000 its reverse (4110212432), we get a palindrome (2346230326432).

The spelling of 2342120114000 in words is "two trillion, three hundred forty-two billion, one hundred twenty million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1171060057 2342120114 4684240228 5855300285 9368480456 11710600570 18736960912 23421201140 29276501425 46842402280 58553002850 93684804560 117106005700 146382507125 234212011400 292765014250 468424022800 585530028500 1171060057000 2342120114000