Search a number
-
+
3442230144444 = 2237138935418263
BaseRepresentation
bin110010000101110100111…
…001111010110110111100
3110012001222221022020222210
4302011310321322312330
5422344141404110234
611153201054140420
7503456446314540
oct62056471726674
913161887266883
103442230144444
1111079291a56a3
12477163ab1710
131bc7a7277aa0
14bc86790da20
155e8187e7be9
hex32174e7adbc

3442230144444 has 96 divisors (see below), whose sum is σ = 9996450831360. Its totient is φ = 897640432128.

The previous prime is 3442230144443. The next prime is 3442230144487. The reversal of 3442230144444 is 4444410322443.

It is a happy number.

It is a super-2 number, since 2×34422301444442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442230144443) 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, 17611944 + ... + 17806319.

It is an arithmetic number, because the mean of its divisors is an integer number (104129696160).

Almost surely, 23442230144444 is an apocalyptic number.

It is an amenable number.

3442230144444 is an abundant number, since it is smaller than the sum of its proper divisors (6554220686916).

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

3442230144444 is a wasteful number, since it uses less digits than its factorization.

3442230144444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35418379 (or 35418377 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 3442230144444 its reverse (4444410322443), we get a palindrome (7886640466887).

The spelling of 3442230144444 in words is "three trillion, four hundred forty-two billion, two hundred thirty million, one hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 356 364 534 546 623 1068 1092 1157 1246 1869 2314 2492 3471 3738 4628 6942 7476 8099 13884 16198 24297 32396 48594 97188 35418263 70836526 106254789 141673052 212509578 247927841 425019156 460437419 495855682 743783523 920874838 991711364 1381312257 1487567046 1841749676 2762624514 2975134092 3152225407 3223061933 5525249028 6304450814 6446123866 9456676221 9669185799 12608901628 12892247732 18913352442 19338371598 22065577849 37826704884 38676743196 40978930291 44131155698 66196733547 81957860582 88262311396 122936790873 132393467094 163915721164 245873581746 264786934188 286852512037 491747163492 573705024074 860557536111 1147410048148 1721115072222 3442230144444