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2434142400114 = 232691508142751
BaseRepresentation
bin100011011010111110001…
…100010110111001110010
322121200221120100212000110
4203122332030112321302
5304340110423300424
65102121331202150
7340601214006135
oct43327614267162
98550846325013
102434142400114
1185934aa21787
12333905446356
13148700526b19
1485b552bc21c
15434b7002c29
hex236be316e72

2434142400114 has 16 divisors (see below), whose sum is σ = 4886382516480. Its totient is φ = 808364514000.

The previous prime is 2434142400077. The next prime is 2434142400121. The reversal of 2434142400114 is 4110042414342.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 754069762 + ... + 754072989.

It is an arithmetic number, because the mean of its divisors is an integer number (305398907280).

Almost surely, 22434142400114 is an apocalyptic number.

2434142400114 is an abundant number, since it is smaller than the sum of its proper divisors (2452240116366).

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

2434142400114 is a wasteful number, since it uses less digits than its factorization.

2434142400114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508143025.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2434142400114 its reverse (4110042414342), we get a palindrome (6544184814456).

The spelling of 2434142400114 in words is "two trillion, four hundred thirty-four billion, one hundred forty-two million, four hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 269 538 807 1614 1508142751 3016285502 4524428253 9048856506 405690400019 811380800038 1217071200057 2434142400114