90990106800
90,990,106,800 is an even composite number composed of seven prime numbers multiplied together.
90990106800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 90990106800:
24 × 3 × 52 × 23 × 59 × 71 × 787
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 59 × 71 × 787)See below for interesting mathematical facts about the number 90990106800 from the Numbermatics database.
Names of 90990106800
- Cardinal: 90990106800 can be written as Ninety billion, nine hundred ninety million, one hundred six thousand, eight hundred.
Scientific notation
- Scientific notation: 9.09901068 × 1010
Factors of 90990106800
Divisors of 90990106800
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 59 60 69 71 75 80 92 100 115 118 120 138 142 150 177 184 200 213 230 236 240 276 284 295 300 345 354 355 368 400 426 460 472 552 568 575 590 600 690 708 710 787 852 885 920 944 1065 1104 1136 1150 1180 1200 1357 1380 1416 1420 1475 1574 1633 1704 1725 1770 1775 1840 2130 2300 2360 2361 2714 2760 2832 2840 2950 3148 3266 3408 3450 3540 3550 3935 4071 4189 4260 4425 4600 4720 4722 4899 5325 5428 5520 5680 5900 6296 6532 6785 6900 7080 7100 7870 8142 8165 8378 8520 8850 9200 9444 9798 10650 10856 11800 11805 12567 12592 13064 13570 13800 14160 14200 15740 16284 16330 16756 17040 17700 18101 18888 19596 19675 20355 20945 21300 21712 23600 23610 24495 25134 26128 27140 27600 28400 31480 32568 32660 33512 33925 35400 36202 37776 39192 39350 40710 40825 41890 42600 46433 47220 48990 50268 54280 54303 55877 59025 62835 62960 65136 65320 67024 67850 70800 72404 78384 78700 81420 81650 83780 85200 90505 92866 94440 96347 97980 100536 101775 104725 108560 108606 111754 118050 122475 125670 130640 135700 139299 144808 157400 162840 163300 167560 167631 181010 185732 188880 192694 195960 201072 203550 209450 217212 223508 232165 236100 244950 251340 271400 271515 278598 279385 289041 289616 314175 314800 325680 326600 335120 335262 362020 371464 385388 391920 407100 418900 434424 447016 452525 464330 472200 481735 489900 502680 542800 543030 557196 558770 578082 628350 653200 670524 696495 724040 742928 770776 814200 837800 838155 868848 894032 905050 928660 944400 963470 979800 1005360 1067959 1086060 1114392 1117540 1156164 1160825 1256700 1285171 1341048 1357575 1392990 1396925 1445205 1448080 1541552 1628400 1675600 1676310 1810100 1857320 1926940 1959600 2135918 2172120 2228784 2235080 2312328 2321650 2408675 2513400 2570342 2682096 2715150 2785980 2793850 2890410 3203877 3296743 3352620 3482475 3620200 3714640 3853880 3855513 4190775 4271836 4344240 4470160 4624656 4643300 4817350 5026800 5140684 5339795 5430300 5571960 5587700 5780820 6407754 6425855 6593486 6705240 6964950 7226025 7240400 7707760 7711026 8381550 8543672 9286600 9634700 9890229 10281368 10679590 10860600 11143920 11175400 11561640 12815508 12851710 13186972 13410480 13929900 14452050 15422052 16019385 16483715 16763100 17087344 18573200 19269400 19277565 19780458 20562736 21359180 21721200 22350800 23123280 25631016 25703420 26373944 26698975 27859800 28904100 30844104 32038770 32129275 32967430 33526200 38538800 38555130 39560916 42718360 49451145 51262032 51406840 52747888 53397950 55719600 57808200 61688208 64077540 64258550 65934860 67052400 75825089 77110260 79121832 80096925 82418575 85436720 96387825 98902290 102813680 106795900 115616400 128155080 128517100 131869720 151650178 154220520 158243664 160193850 164837150 192775650 197804580 213591800 227475267 247255725 256310160 257034200 263739440 303300356 308441040 320387700 329674300 379125445 385551300 395609160 427183600 454950534 494511450 514068400 606600712 640775400 659348600 758250890 771102600 791218320 909901068 989022900 1137376335 1213201424 1281550800 1318697200 1516501780 1542205200 1819802136 1895627225 1978045800 2274752670 3033003560 3639604272 3791254450 3956091600 4549505340 5686881675 6066007120 7582508900 9099010680 11373763350 15165017800 18198021360 22747526700 30330035600 45495053400 90990106800
- Sum of all divisors σ(n): 314054184960
- Sum of proper divisors (its aliquot sum) s(n): 223064078160
- 90990106800 is an abundant number, because the sum of its proper divisors (223064078160) is greater than itself. Its abundance is 132073971360
Bases of 90990106800
- Binary: 10101001011110110111011011000101100002
- Hexadecimal: 0x152F6ED8B0
- Base-36: 15ST5RQO
Squares and roots of 90990106800
- 90990106800 squared (909901068002) is 8279199535475406240000
- 90990106800 cubed (909901068003) is 753325249951417602550986432000000
-
The
square root of 90990106800 is 301645.6643149375 -
The
cube root of 90990106800 is 4497.7784392425
Scales and comparisons
How big is 90990106800?- 90,990,106,800 seconds is equal to 2,893 years, 10 weeks, 4 days, 5 hours, 40 minutes.
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To count from 1 to 90,990,106,800 would take you about five thousand, seven hundred eighty-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 90990106800 cubic inches would be around 374.8 feet tall.
Recreational maths with 90990106800
- 90990106800 backwards is 00860109909
- The number of decimal digits it has is: 11
- The sum of 90990106800's digits is 42
- More coming soon!
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