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41324133340 = 22572163725759
BaseRepresentation
bin100110011111000111…
…000011101111011100
310221122221122110222001
4212133013003233130
51134112434231330
630552315332044
72662023223600
oct463707035734
9127587573861
1041324133340
111658643a016
128013451024
133b874ba109
1420003b1500
15111cd929ca
hex99f1c3bdc

41324133340 has 72 divisors (see below), whose sum is σ = 101014542720. Its totient is φ = 14159069568.

The previous prime is 41324133311. The next prime is 41324133343. The reversal of 41324133340 is 4333142314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41324133299 and 41324133308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41324133343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591381 + ... + 1617139.

It is an arithmetic number, because the mean of its divisors is an integer number (1402979760).

Almost surely, 241324133340 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 41324133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50507271360).

41324133340 is an abundant number, since it is smaller than the sum of its proper divisors (59690409380).

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

41324133340 is a wasteful number, since it uses less digits than its factorization.

41324133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27419 (or 27410 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 41324133340 its reverse (4333142314), we get a palindrome (45657275654).

The spelling of 41324133340 in words is "forty-one billion, three hundred twenty-four million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1637 3274 6548 8185 11459 16370 22918 25759 32740 45836 51518 57295 80213 103036 114590 128795 160426 180313 229180 257590 320852 360626 401065 515180 721252 802130 901565 1262191 1604260 1803130 2524382 3606260 5048764 6310955 12621910 25243820 42167483 84334966 168669932 210837415 295172381 421674830 590344762 843349660 1180689524 1475861905 2066206667 2951723810 4132413334 5903447620 8264826668 10331033335 20662066670 41324133340