34068848640
34,068,848,640 is an even composite number composed of six prime numbers multiplied together.
34068848640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 34068848640:
213 × 3 × 5 × 17 × 47 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 47 × 347)See below for interesting mathematical facts about the number 34068848640 from the Numbermatics database.
Names of 34068848640
- Cardinal: 34068848640 can be written as Thirty-four billion, sixty-eight million, eight hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.406884864 × 1010
Factors of 34068848640
Divisors of 34068848640
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 47 48 51 60 64 68 80 85 94 96 102 120 128 136 141 160 170 188 192 204 235 240 255 256 272 282 320 340 347 376 384 408 470 480 510 512 544 564 640 680 694 705 752 768 799 816 940 960 1020 1024 1041 1088 1128 1280 1360 1388 1410 1504 1536 1598 1632 1735 1880 1920 2040 2048 2082 2176 2256 2397 2560 2720 2776 2820 3008 3072 3196 3264 3470 3760 3840 3995 4080 4096 4164 4352 4512 4794 5120 5205 5440 5552 5640 5899 6016 6144 6392 6528 6940 7520 7680 7990 8160 8192 8328 8704 9024 9588 10240 10410 10880 11104 11280 11798 11985 12032 12288 12784 13056 13880 15040 15360 15980 16309 16320 16656 17408 17697 18048 19176 20480 20820 21760 22208 22560 23596 23970 24064 24576 25568 26112 27760 29495 30080 30720 31960 32618 32640 33312 34816 35394 36096 38352 40960 41640 43520 44416 45120 47192 47940 48128 48927 51136 52224 55520 58990 60160 61440 63920 65236 65280 66624 69632 70788 72192 76704 81545 83280 87040 88485 88832 90240 94384 95880 96256 97854 102272 104448 111040 117980 120320 122880 127840 130472 130560 133248 139264 141576 144384 153408 163090 166560 174080 176970 177664 180480 188768 191760 192512 195708 204544 208896 222080 235960 240640 244635 255680 260944 261120 266496 277253 283152 288768 306816 326180 333120 348160 353940 355328 360960 377536 383520 385024 391416 409088 417792 444160 471920 481280 489270 511360 521888 522240 532992 554506 566304 577536 613632 652360 666240 696320 707880 710656 721920 755072 767040 782832 818176 831759 888320 943840 962560 978540 1022720 1043776 1044480 1065984 1109012 1132608 1155072 1227264 1304720 1332480 1386265 1415760 1421312 1443840 1510144 1534080 1565664 1636352 1663518 1776640 1887680 1925120 1957080 2045440 2087552 2088960 2131968 2218024 2265216 2454528 2609440 2664960 2772530 2831520 2842624 2887680 3020288 3068160 3131328 3272704 3327036 3553280 3775360 3914160 4090880 4158795 4175104 4263936 4436048 4530432 4909056 5218880 5329920 5545060 5663040 5775360 6040576 6136320 6262656 6545408 6654072 7106560 7550720 7828320 8181760 8317590 8350208 8527872 8872096 9060864 9818112 10437760 10659840 11090120 11326080 12081152 12272640 12525312 13308144 14213120 15101440 15656640 16363520 16635180 16700416 17744192 18121728 19636224 20875520 21319680 22180240 22652160 24162304 24545280 25050624 26616288 30202880 31313280 32727040 33270360 33400832 35488384 36243456 41751040 42639360 44360480 45304320 48324608 49090560 50101248 53232576 60405760 62626560 66540720 66801664 70976768 72486912 83502080 88720960 90608640 98181120 100202496 106465152 120811520 125253120 133081440 133603328 141953536 144973824 167004160 177441920 181217280 200404992 212930304 241623040 250506240 266162880 283907072 334008320 354883840 362434560 400809984 425860608 501012480 532325760 567814144 668016640 709767680 724869120 851721216 1002024960 1064651520 1135628288 1419535360 1703442432 2004049920 2129303040 2271256576 2839070720 3406884864 4258606080 5678141440 6813769728 8517212160 11356282880 17034424320 34068848640
- Sum of all divisors σ(n): 118221825024
- Sum of proper divisors (its aliquot sum) s(n): 84152976384
- 34068848640 is an abundant number, because the sum of its proper divisors (84152976384) is greater than itself. Its abundance is 50084127744
Bases of 34068848640
- Binary: 111111011101010100101100000000000002
- Hexadecimal: 0x7EEA96000
- Base-36: FNFPNUO
Squares and roots of 34068848640
- 34068848640 squared (340688486402) is 1160686447655229849600
- 34068848640 cubed (340688486403) is 39543250903665308650432364544000
-
The
square root of 34068848640 is 184577.4868178675 -
The
cube root of 34068848640 is 3241.7970217173
Scales and comparisons
How big is 34068848640?- 34,068,848,640 seconds is equal to 1,083 years, 14 weeks, 5 days, 9 hours, 4 minutes.
-
To count from 1 to 34,068,848,640 would take you about two thousand, one hundred sixty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 34068848640 cubic inches would be around 270.1 feet tall.
Recreational maths with 34068848640
- 34068848640 backwards is 04684886043
- 34068848640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34068848640's digits is 51
- More coming soon!
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