Search a number
-
+
3424110022404 = 22321747711676641
BaseRepresentation
bin110001110100111100110…
…111001000111100000100
3110010100020010002200111200
4301310330313020330010
5422100034131204104
611141003041102500
7502245431652441
oct61647467107404
913110203080450
103424110022404
11110017a928825
12473747627a30
131bab7a1a9b96
14bba291749c8
155e107b12b39
hex31d3cdc8f04

3424110022404 has 144 divisors (see below), whose sum is σ = 9491349643776. Its totient is φ = 1036565913600.

The previous prime is 3424110022393. The next prime is 3424110022427. The reversal of 3424110022404 is 4042200114243.

3424110022404 is a `hidden beast` number, since 3 + 4 + 2 + 411 + 0 + 0 + 2 + 240 + 4 = 666.

3424110022404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203924 + ... + 2880564.

It is an arithmetic number, because the mean of its divisors is an integer number (65912150304).

Almost surely, 23424110022404 is an apocalyptic number.

3424110022404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424110022404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745674821888).

3424110022404 is an abundant number, since it is smaller than the sum of its proper divisors (6067239621372).

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

3424110022404 is a wasteful number, since it uses less digits than its factorization.

3424110022404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676786 (or 1676781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3424110022404 its reverse (4042200114243), we get a palindrome (7466310136647).

The spelling of 3424110022404 in words is "three trillion, four hundred twenty-four billion, one hundred ten million, twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 71 94 102 141 142 153 188 204 213 282 284 306 423 426 564 612 639 799 846 852 1207 1278 1598 1692 2397 2414 2556 3196 3337 3621 4794 4828 6674 7191 7242 9588 10011 10863 13348 14382 14484 20022 21726 28764 30033 40044 43452 56729 60066 113458 120132 170187 226916 340374 510561 680748 1021122 1676641 2042244 3353282 5029923 6706564 10059846 15089769 20119692 28502897 30179538 57005794 60359076 78802127 85508691 114011588 119041511 157604254 171017382 236406381 238083022 256526073 315208508 342034764 357124533 472812762 476166044 513052146 709219143 714249066 945625524 1026104292 1071373599 1339636159 1418438286 1428498132 2023705687 2142747198 2679272318 2836876572 4018908477 4047411374 4285494396 5358544636 5594951017 6071117061 8037816954 8094822748 11189902034 12056725431 12142234122 16075633908 16784853051 18213351183 22379804068 24113450862 24284468244 33569706102 36426702366 48226901724 50354559153 67139412204 72853404732 95114167289 100709118306 190228334578 201418236612 285342501867 380456669156 570685003734 856027505601 1141370007468 1712055011202 3424110022404