106788397248
106,788,397,248 is an even composite number composed of six prime numbers multiplied together.
106788397248 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 106788397248:
26 × 33 × 13 × 31 × 89 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 89 × 1723)See below for interesting mathematical facts about the number 106788397248 from the Numbermatics database.
Names of 106788397248
- Cardinal: 106788397248 can be written as One hundred six billion, seven hundred eighty-eight million, three hundred ninety-seven thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.06788397248 × 1011
Factors of 106788397248
Divisors of 106788397248
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 89 93 96 104 108 117 124 144 156 178 186 192 208 216 234 248 267 279 288 312 351 356 372 403 416 432 468 496 534 558 576 624 702 712 744 801 806 832 837 864 936 992 1068 1116 1157 1209 1248 1404 1424 1488 1602 1612 1674 1723 1728 1872 1984 2136 2232 2314 2403 2418 2496 2759 2808 2848 2976 3204 3224 3348 3446 3471 3627 3744 4272 4464 4628 4806 4836 5169 5518 5616 5696 5952 6408 6448 6696 6892 6942 7254 7488 8277 8544 8928 9256 9612 9672 10338 10413 10881 11036 11232 12816 12896 13392 13784 13884 14508 15507 16554 17088 17856 18512 19224 19344 20676 20826 21762 22072 22399 22464 24831 25632 25792 26784 27568 27768 29016 31014 31239 33108 35867 37024 38448 38688 41352 41652 43524 44144 44798 46521 49662 51264 53413 53568 55136 55536 58032 62028 62478 66216 67197 71734 74048 74493 76896 77376 82704 83304 87048 88288 89596 93042 99324 106826 107601 110272 111072 116064 124056 124956 132432 134394 143468 148986 153347 153792 160239 165408 166608 174096 176576 179192 186084 198648 201591 213652 215202 222144 232128 248112 249912 264864 268788 286936 297972 306694 320478 322803 330816 333216 348192 358384 372168 397296 403182 427304 430404 460041 480717 496224 499824 529728 537576 573872 595944 604773 613388 640956 645606 666432 694369 696384 716768 744336 794592 806364 854608 860808 920082 961434 968409 992448 999648 1075152 1147744 1191888 1209546 1226776 1281912 1291212 1380123 1388738 1433536 1442151 1488672 1589184 1612728 1709216 1721616 1840164 1922868 1936818 1993511 1999296 2083107 2150304 2295488 2383776 2419092 2453552 2563824 2582424 2760246 2777476 2884302 2977344 3225456 3418432 3443232 3680328 3845736 3873636 3987022 4140369 4166214 4300608 4753757 4767552 4838184 4907104 5127648 5164848 5520492 5554952 5768604 5980533 6249321 6450912 6886464 7360656 7691472 7747272 7974044 8280738 8332428 9507514 9676368 9814208 10255296 10329696 11040984 11109904 11537208 11961066 12498642 12901824 14261271 14721312 15382944 15494544 15948088 16561476 16664856 17941599 18747963 19015028 19352736 20659392 22081968 22219808 23074416 23922132 24997284 28522542 29442624 30765888 30989088 31896176 33122952 33329712 35883198 37495926 38030056 38705472 42783813 44163936 44439616 46148832 47844264 49994568 53824797 57045084 61798841 61978176 63792352 66245904 66659424 71766396 74991852 76060112 85567626 88327872 92297664 95688528 99989136 107649594 114090168 123597682 127584704 128351439 132491808 133318848 143532792 149983704 152120224 171135252 185396523 191377056 199978272 215299188 228180336 247195364 256702878 264983616 287065584 299967408 304240448 342270504 370793046 382754112 399956544 430598376 456360672 494390728 513405756 556189569 574131168 599934816 684541008 741586092 861196752 912721344 988781456 1026811512 1112379138 1148262336 1199869632 1369082016 1483172184 1668568707 1722393504 1977562912 2053623024 2224758276 2738164032 2966344368 3337137414 3444787008 3955125824 4107246048 4449516552 5932688736 6674274828 8214492096 8899033104 11865377472 13348549656 17798066208 26697099312 35596132416 53394198624 106788397248
- Sum of all divisors σ(n): 353119334400
- Sum of proper divisors (its aliquot sum) s(n): 246330937152
- 106788397248 is an abundant number, because the sum of its proper divisors (246330937152) is greater than itself. Its abundance is 139542539904
Bases of 106788397248
- Binary: 11000110111010001010110100000110000002
- Hexadecimal: 0x18DD15A0C0
- Base-36: 1D231YO0
Squares and roots of 106788397248
- 106788397248 squared (1067883972482) is 11403761786796653973504
- 106788397248 cubed (1067883972483) is 1217789443810003365919742818516992
-
The
square root of 106788397248 is 326784.9403629243 -
The
cube root of 106788397248 is 4744.3278146699
Scales and comparisons
How big is 106788397248?- 106,788,397,248 seconds is equal to 3,395 years, 28 weeks, 19 hours, 40 minutes, 48 seconds.
-
To count from 1 to 106,788,397,248 would take you about six thousand, seven hundred ninety-one 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 106788397248 cubic inches would be around 395.4 feet tall.
Recreational maths with 106788397248
- 106788397248 backwards is 842793887601
- The number of decimal digits it has is: 12
- The sum of 106788397248's digits is 63
- More coming soon!
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