107071638720
107,071,638,720 is an even composite number composed of seven prime numbers multiplied together.
107071638720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 107071638720:
26 × 3 × 5 × 23 × 67 × 157 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 67 × 157 × 461)See below for interesting mathematical facts about the number 107071638720 from the Numbermatics database.
Names of 107071638720
- Cardinal: 107071638720 can be written as One hundred seven billion, seventy-one million, six hundred thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.0707163872 × 1011
Factors of 107071638720
Divisors of 107071638720
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 67 69 80 92 96 115 120 134 138 157 160 184 192 201 230 240 268 276 314 320 335 345 368 402 460 461 471 480 536 552 628 670 690 736 785 804 920 922 942 960 1005 1072 1104 1256 1340 1380 1383 1472 1541 1570 1608 1840 1844 1884 2010 2144 2208 2305 2355 2512 2680 2760 2766 3082 3140 3216 3611 3680 3688 3768 4020 4288 4416 4610 4623 4710 5024 5360 5520 5532 6164 6280 6432 6915 7222 7360 7376 7536 7705 8040 9220 9246 9420 10048 10519 10603 10720 10833 11040 11064 12328 12560 12864 13830 14444 14752 15072 15410 16080 18055 18440 18492 18840 21038 21206 21440 21666 22080 22128 23115 24656 25120 27660 28888 29504 30144 30820 30887 31557 31809 32160 36110 36880 36984 37680 42076 42412 43332 44256 46230 49312 50240 52595 53015 54165 55320 57776 61640 61774 63114 63618 64320 72220 72377 73760 73968 75360 84152 84824 86664 88512 92460 92661 98624 105190 106030 108330 110640 115552 123280 123548 126228 127236 144440 144754 147520 147936 150720 154435 157785 159045 168304 169648 173328 184920 185322 210380 212060 216660 217131 221280 231104 241937 246560 247096 252456 254472 288880 289508 295872 308870 315570 318090 336608 339296 346656 361885 369840 370644 420760 424120 433320 434262 442560 463305 483874 493120 494192 504912 508944 577760 579016 617740 631140 636180 673216 678592 693312 710401 723770 725811 739680 741288 841520 848240 866640 868524 926610 967748 988384 1009824 1017888 1085655 1155520 1158032 1209685 1235480 1262280 1272360 1420802 1447540 1451622 1479360 1482576 1664671 1683040 1696480 1733280 1737048 1853220 1935496 1976768 2019648 2035776 2131203 2171310 2316064 2419370 2470960 2524560 2544720 2841604 2895080 2903244 2965152 3329342 3366080 3392960 3466560 3474096 3552005 3629055 3706440 3870992 4262406 4342620 4632128 4838740 4849259 4941920 4994013 5049120 5089440 5683208 5790160 5806488 5930304 6658684 6948192 7104010 7258110 7412880 7741984 8323355 8524812 8685240 9677480 9698518 9883840 9988026 10098240 10178880 10656015 11366416 11580320 11612976 13317368 13896384 14208020 14516220 14547777 14825760 15483968 16646710 17049624 17370480 19354960 19397036 19976052 21312030 22732832 23160640 23225952 24246295 24970065 26634736 28416040 29032440 29095554 29651520 33293420 34099248 34740960 38709920 38794072 39952104 42624060 45465664 46451904 48492590 49940130 53269472 56832080 58064880 58191108 66586840 68198496 69481920 72738885 77419840 77588144 79904208 85248120 96985180 99880260 106538944 111532957 113664160 116129760 116382216 133173680 136396992 145477770 155176288 159808416 170496240 193970360 199760520 223065914 227328320 232259520 232764432 266347360 290955540 310352576 319616832 334598871 340992480 387940720 399521040 446131828 465528864 532694720 557664785 581911080 669197742 681984960 775881440 799042080 892263656 931057728 1115329570 1163822160 1338395484 1551762880 1598084160 1672994355 1784527312 2230659140 2327644320 2676790968 3345988710 3569054624 4461318280 4655288640 5353581936 6691977420 7138109248 8922636560 10707163872 13383954840 17845273120 21414327744 26767909680 35690546240 53535819360 107071638720
- Sum of all divisors σ(n): 363106630656
- Sum of proper divisors (its aliquot sum) s(n): 256034991936
- 107071638720 is an abundant number, because the sum of its proper divisors (256034991936) is greater than itself. Its abundance is 148963353216
Bases of 107071638720
- Binary: 11000111011011111011110001100110000002
- Hexadecimal: 0x18EDF78CC0
- Base-36: 1D6ROT6O
Squares and roots of 107071638720
- 107071638720 squared (1070716387202) is 11464335818186203238400
- 107071638720 cubed (1070716387203) is 1227505222889588758830458830848000
-
The
square root of 107071638720 is 327218.0293321257 -
The
cube root of 107071638720 is 4748.5186696793
Scales and comparisons
How big is 107071638720?- 107,071,638,720 seconds is equal to 3,404 years, 28 weeks, 3 days, 1 hour, 52 minutes.
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To count from 1 to 107,071,638,720 would take you about six thousand, eight hundred nine 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 107071638720 cubic inches would be around 395.7 feet tall.
Recreational maths with 107071638720
- 107071638720 backwards is 027836170701
- The number of decimal digits it has is: 12
- The sum of 107071638720's digits is 42
- More coming soon!
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