Search a number
-
+
841024343420148 = 2232337537976125847
BaseRepresentation
bin1011111100111010000011110…
…1001111001010110011110100
311002021211010211112022112122210
42333032200331033022303310
51340213320323403421043
612140413125524453420
7342102001152232116
oct27716407517126364
94067733745275583
10841024343420148
11223a8146a4460a8
127a3b019ab4a270
132a138341b193c4
1410b97b1c8873b6
156736e8e91a633
hex2fce83d3cacf4

841024343420148 has 384 divisors, whose sum is σ = 2172793897451520. Its totient is φ = 252400407367680.

The previous prime is 841024343420141. The next prime is 841024343420161.

It is a happy number.

841024343420148 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 841024343420097 and 841024343420106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841024343420141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32538554161 + ... + 32538580007.

It is an arithmetic number, because the mean of its divisors is an integer number (5658317441280).

Almost surely, 2841024343420148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841024343420148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086396948725760).

841024343420148 is an abundant number, since it is smaller than the sum of its proper divisors (1331769554031372).

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

841024343420148 is a wasteful number, since it uses less digits than its factorization.

841024343420148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807 (or 26805 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 841024343420148 in words is "eight hundred forty-one trillion, twenty-four billion, three hundred forty-three million, four hundred twenty thousand, one hundred forty-eight".