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2034142131344 = 241910961387679
BaseRepresentation
bin11101100110011100010…
…100011011010010010000
321012110110212021211100012
4131212130110123102100
5231311410341200334
64154245541214052
7266650636555421
oct35463424332220
97173425254305
102034142131344
11714747226464
1228a292101328
13119a84b2335b
147064b089648
1537da55a49ce
hex1d99c51b490

2034142131344 has 40 divisors (see below), whose sum is σ = 4186639776000. Its totient is φ = 954701168256.

The previous prime is 2034142131341. The next prime is 2034142131349. The reversal of 2034142131344 is 4431312414302.

It is a self number, because there is not a number n which added to its sum of digits gives 2034142131344.

It is not an unprimeable number, because it can be changed into a prime (2034142131341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30660704 + ... + 30726975.

It is an arithmetic number, because the mean of its divisors is an integer number (104665994400).

Almost surely, 22034142131344 is an apocalyptic number.

It is an amenable number.

2034142131344 is an abundant number, since it is smaller than the sum of its proper divisors (2152497644656).

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

2034142131344 is a wasteful number, since it uses less digits than its factorization.

2034142131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61387815 (or 61387809 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 2034142131344 its reverse (4431312414302), we get a palindrome (6465454545646).

The spelling of 2034142131344 in words is "two trillion, thirty-four billion, one hundred forty-two million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 109 152 218 304 436 872 1744 2071 4142 8284 16568 33136 61387679 122775358 245550716 491101432 982202864 1166365901 2332731802 4665463604 6691257011 9330927208 13382514022 18661854416 26765028044 53530056088 107060112176 127133883209 254267766418 508535532836 1017071065672 2034142131344