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4401334403244 = 22322961208133211
BaseRepresentation
bin100000000001100001111…
…1110010100000010101100
3120120202121120011210001100
41000003003332110002230
51034102413101400434
613205540051043100
7632662112102442
oct100030376240254
916522546153040
104401334403244
111447660589969
125b1011ba0490
1325c075a28c9c
1411305081ab92
157974eadc699
hex400c3f940ac

4401334403244 has 144 divisors (see below), whose sum is σ = 11703886215840. Its totient is φ = 1392588288000.

The previous prime is 4401334403243. The next prime is 4401334403251. The reversal of 4401334403244 is 4423044331044.

4401334403244 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 3 + 3 + 4 + 403 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4401334403199 and 4401334403208.

It is not an unprimeable number, because it can be changed into a prime (4401334403243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132509799 + ... + 132543009.

It is an arithmetic number, because the mean of its divisors is an integer number (81276987610).

Almost surely, 24401334403244 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 4401334403244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851943107920).

4401334403244 is an abundant number, since it is smaller than the sum of its proper divisors (7302551812596).

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

4401334403244 is a wasteful number, since it uses less digits than its factorization.

4401334403244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35392 (or 35387 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4401334403244 its reverse (4423044331044), we get a palindrome (8824378734288).

The spelling of 4401334403244 in words is "four trillion, four hundred one billion, three hundred thirty-four million, four hundred three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 549 732 1044 1098 1769 2081 2196 3538 4162 5307 6243 7076 8324 10614 12486 15921 18729 21228 24972 31842 33211 37458 60349 63684 66422 74916 99633 120698 126941 132844 181047 199266 241396 253882 298899 362094 380823 398532 507764 543141 597798 724188 761646 963119 1086282 1142469 1195596 1523292 1926238 2025871 2172564 2284938 2889357 3681289 3852476 4051742 4569876 5778714 6077613 7362578 8103484 8668071 11043867 11557428 12155226 14725156 17336142 18232839 22087734 24310452 33131601 34672284 36465678 44175468 58750259 66263202 69112091 72931356 117500518 132526404 138224182 176250777 207336273 235001036 276448364 352501554 414672546 528752331 622008819 705003108 829345092 1057504662 1244017638 2004250639 2115009324 2488035276 4008501278 4215837551 6012751917 8017002556 8431675102 12025503834 12647512653 16863350204 18038255751 24051007668 25295025306 36076511502 37942537959 50590050612 72153023004 75885075918 122259288979 151770151836 244518577958 366777866937 489037155916 733555733874 1100333600811 1467111467748 2200667201622 4401334403244