106980966400
106,980,966,400 is an even composite number composed of five prime numbers multiplied together.
106980966400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 106980966400:
220 × 52 × 7 × 11 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 53)See below for interesting mathematical facts about the number 106980966400 from the Numbermatics database.
Names of 106980966400
- Cardinal: 106980966400 can be written as One hundred six billion, nine hundred eighty million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.069809664 × 1011
Factors of 106980966400
Divisors of 106980966400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 53 55 56 64 70 77 80 88 100 106 110 112 128 140 154 160 175 176 200 212 220 224 256 265 275 280 308 320 350 352 371 385 400 424 440 448 512 530 550 560 583 616 640 700 704 742 770 800 848 880 896 1024 1060 1100 1120 1166 1232 1280 1325 1400 1408 1484 1540 1600 1696 1760 1792 1855 1925 2048 2120 2200 2240 2332 2464 2560 2650 2800 2816 2915 2968 3080 3200 3392 3520 3584 3710 3850 4081 4096 4240 4400 4480 4664 4928 5120 5300 5600 5632 5830 5936 6160 6400 6784 7040 7168 7420 7700 8162 8192 8480 8800 8960 9275 9328 9856 10240 10600 11200 11264 11660 11872 12320 12800 13568 14080 14336 14575 14840 15400 16324 16384 16960 17600 17920 18550 18656 19712 20405 20480 21200 22400 22528 23320 23744 24640 25600 27136 28160 28672 29150 29680 30800 32648 32768 33920 35200 35840 37100 37312 39424 40810 40960 42400 44800 45056 46640 47488 49280 51200 54272 56320 57344 58300 59360 61600 65296 65536 67840 70400 71680 74200 74624 78848 81620 81920 84800 89600 90112 93280 94976 98560 102025 102400 108544 112640 114688 116600 118720 123200 130592 131072 135680 140800 143360 148400 149248 157696 163240 163840 169600 179200 180224 186560 189952 197120 204050 204800 217088 225280 229376 233200 237440 246400 261184 262144 271360 281600 286720 296800 298496 315392 326480 327680 339200 358400 360448 373120 379904 394240 408100 409600 434176 450560 458752 466400 474880 492800 522368 524288 542720 563200 573440 593600 596992 630784 652960 655360 678400 716800 720896 746240 759808 788480 816200 819200 868352 901120 917504 932800 949760 985600 1044736 1048576 1085440 1126400 1146880 1187200 1193984 1261568 1305920 1310720 1356800 1433600 1441792 1492480 1519616 1576960 1632400 1638400 1736704 1802240 1835008 1865600 1899520 1971200 2089472 2170880 2252800 2293760 2374400 2387968 2523136 2611840 2621440 2713600 2867200 2883584 2984960 3039232 3153920 3264800 3276800 3473408 3604480 3670016 3731200 3799040 3942400 4178944 4341760 4505600 4587520 4748800 4775936 5046272 5223680 5242880 5427200 5734400 5767168 5969920 6078464 6307840 6529600 6553600 6946816 7208960 7340032 7462400 7598080 7884800 8357888 8683520 9011200 9175040 9497600 9551872 10092544 10447360 10854400 11468800 11534336 11939840 12156928 12615680 13059200 13107200 13893632 14417920 14924800 15196160 15769600 16715776 17367040 18022400 18350080 18995200 19103744 20185088 20894720 21708800 22937600 23879680 24313856 25231360 26118400 26214400 27787264 28835840 29849600 30392320 31539200 33431552 34734080 36044800 36700160 37990400 38207488 40370176 41789440 43417600 45875200 47759360 48627712 50462720 52236800 55574528 57671680 59699200 60784640 63078400 66863104 69468160 72089600 75980800 76414976 80740352 83578880 86835200 91750400 95518720 97255424 100925440 104473600 119398400 121569280 126156800 133726208 138936320 144179200 151961600 152829952 167157760 173670400 183500800 191037440 194510848 201850880 208947200 238796800 243138560 252313600 267452416 277872640 288358400 303923200 305659904 334315520 347340800 382074880 389021696 403701760 417894400 477593600 486277120 504627200 534904832 607846400 611319808 668631040 694681600 764149760 835788800 955187200 972554240 1009254400 1069809664 1215692800 1337262080 1389363200 1528299520 1671577600 1910374400 1945108480 2018508800 2139619328 2431385600 2674524160 3056599040 3343155200 3820748800 4279238656 4862771200 5349048320 6686310400 7641497600 9725542400 10698096640 13372620800 15282995200 21396193280 26745241600 53490483200 106980966400
- Sum of all divisors σ(n): 337020554304
- Sum of proper divisors (its aliquot sum) s(n): 230039587904
- 106980966400 is an abundant number, because the sum of its proper divisors (230039587904) is greater than itself. Its abundance is 123058621504
Bases of 106980966400
- Binary: 11000111010001001000000000000000000002
- Hexadecimal: 0x18E8900000
- Base-36: 1D59PDZ4
Squares and roots of 106980966400
- 106980966400 squared (1069809664002) is 11444927171877928960000
- 106980966400 cubed (1069809664003) is 1224389369225119742971346944000000
-
The
square root of 106980966400 is 327079.4496754571 -
The
cube root of 106980966400 is 4747.1778826305
Scales and comparisons
How big is 106980966400?- 106,980,966,400 seconds is equal to 3,401 years, 34 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,980,966,400 would take you about six thousand, eight hundred three 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 106980966400 cubic inches would be around 395.6 feet tall.
Recreational maths with 106980966400
- 106980966400 backwards is 004669089601
- The number of decimal digits it has is: 12
- The sum of 106980966400's digits is 49
- More coming soon!
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