Search a number
-
+
4010144020044 = 2232337997393871
BaseRepresentation
bin111010010110101111001…
…101011011011001001100
3112012100212211110022102020
4322112233031123121030
51011200233332120134
612310122411330140
7562503051520431
oct72265715333114
915170784408366
104010144020044
111306768834008
12549239150950
1323120259cc66
14dc140671b88
156e4a6815b49
hex3a5af35b64c

4010144020044 has 96 divisors (see below), whose sum is σ = 10037799561216. Its totient is φ = 1242789039360.

The previous prime is 4010144020037. The next prime is 4010144020049. The reversal of 4010144020044 is 4400204410104.

It is a happy number.

It is a super-2 number, since 2×40101440200442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4010144019996 and 4010144020023.

It is not an unprimeable number, because it can be changed into a prime (4010144020049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9984429 + ... + 10378299.

It is an arithmetic number, because the mean of its divisors is an integer number (104560412096).

Almost surely, 24010144020044 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 4010144020044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018899780608).

4010144020044 is an abundant number, since it is smaller than the sum of its proper divisors (6027655541172).

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

4010144020044 is a wasteful number, since it uses less digits than its factorization.

4010144020044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394935 (or 394933 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4010144020044 its reverse (4400204410104), we get a palindrome (8410348430148).

The spelling of 4010144020044 in words is "four trillion, ten billion, one hundred forty-four million, twenty thousand, forty-four".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 997 1702 1994 2553 2991 3404 3988 5106 5982 10212 11964 22931 36889 45862 68793 73778 91724 110667 137586 147556 221334 275172 393871 442668 787742 848447 1181613 1575484 1696894 2363226 2545341 3393788 4726452 5090682 9059033 10181364 14573227 18118066 27177099 29146454 36236132 43719681 54354198 58292908 87439362 108708396 174878724 335184221 392689387 670368442 785378774 1005552663 1178068161 1340736884 1570757548 2011105326 2356136322 4022210652 4712272644 9031855901 14529507319 18063711802 27095567703 29059014638 36127423604 43588521957 54191135406 58118029276 87177043914 108382270812 174354087828 334178668337 668357336674 1002536005011 1336714673348 2005072010022 4010144020044