Search a number
-
+
2042144440014 = 237563163752757
BaseRepresentation
bin11101101101111001010…
…010110011111011001110
321020020010120001020010210
4131231321102303323032
5231424302434040024
64202052002343250
7300353146222410
oct35557122637316
97206116036123
102042144440014
117180833303a8
1228b94605ab26
1311a75b994243
1470ba9b949b0
15381c2da9129
hex1db794b3ece

2042144440014 has 64 divisors (see below), whose sum is σ = 4678994750976. Its totient is φ = 582066655104.

The previous prime is 2042144439991. The next prime is 2042144440033. The reversal of 2042144440014 is 4100444412402.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38682124 + ... + 38734880.

It is an arithmetic number, because the mean of its divisors is an integer number (73109292984).

Almost surely, 22042144440014 is an apocalyptic number.

2042144440014 is an abundant number, since it is smaller than the sum of its proper divisors (2636850310962).

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

2042144440014 is a wasteful number, since it uses less digits than its factorization.

2042144440014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54969.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2042144440014 its reverse (4100444412402), we get a palindrome (6142588852416).

The spelling of 2042144440014 in words is "two trillion, forty-two billion, one hundred forty-four million, four hundred forty thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 563 1126 1637 1689 3274 3378 3941 4911 7882 9822 11459 11823 22918 23646 34377 52757 68754 105514 158271 316542 369299 738598 921631 1107897 1843262 2215794 2764893 5529786 6451417 12902834 19354251 29702191 38708502 59404382 86363209 89106573 172726418 178213146 207915337 259089627 415830674 518179254 604542463 623746011 1209084926 1247492022 1813627389 3627254778 48622486667 97244973334 145867460001 291734920002 340357406669 680714813338 1021072220007 2042144440014