990172467200
990,172,467,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 990172467200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 624 divisors.
990172467200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 990172467200:
212 × 52 × 7 × 73 × 127 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 73 × 127 × 149)See below for interesting mathematical facts about the number 990172467200 from the Numbermatics database.
Names of 990172467200
- Cardinal: 990172467200 can be written as Nine hundred ninety billion, one hundred seventy-two million, four hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 9.901724672 × 1011
Factors of 990172467200
Divisors of 990172467200
- Number of divisors d(n): 624
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 73 80 100 112 127 128 140 146 149 160 175 200 224 254 256 280 292 298 320 350 365 400 448 508 511 512 560 584 596 635 640 700 730 745 800 889 896 1016 1022 1024 1043 1120 1168 1192 1270 1280 1400 1460 1490 1600 1778 1792 1825 2032 2044 2048 2086 2240 2336 2384 2540 2555 2560 2800 2920 2980 3175 3200 3556 3584 3650 3725 4064 4088 4096 4172 4445 4480 4672 4768 5080 5110 5120 5215 5600 5840 5960 6350 6400 7112 7168 7300 7450 8128 8176 8344 8890 8960 9271 9344 9536 10160 10220 10240 10430 10877 11200 11680 11920 12700 12775 12800 14224 14336 14600 14900 16256 16352 16688 17780 17920 18542 18688 18923 19072 20320 20440 20480 20860 21754 22225 22400 23360 23840 25400 25550 25600 26075 28448 28672 29200 29800 32512 32704 33376 35560 35840 37084 37376 37846 38144 40640 40880 41720 43508 44450 44800 46355 46720 47680 50800 51100 51200 52150 54385 56896 58400 59600 64897 65024 65408 66752 71120 71680 74168 74752 75692 76139 76288 81280 81760 83440 87016 88900 89600 92710 93440 94615 95360 101600 102200 102400 104300 108770 113792 116800 119200 129794 130048 130816 132461 133504 142240 143360 148336 149504 151384 152278 152576 162560 163520 166880 174032 177800 179200 185420 186880 189230 190720 203200 204400 208600 217540 227584 231775 233600 238400 259588 260096 261632 264922 267008 271925 284480 296672 299008 302768 304556 305152 324485 325120 327040 333760 348064 355600 358400 370840 373760 378460 380695 381440 406400 408800 417200 435080 455168 463550 467200 473075 476800 519176 520192 523264 529844 534016 543850 568960 593344 605536 609112 610304 648970 650240 654080 662305 667520 696128 711200 716800 741680 747520 756920 761390 762880 812800 817600 834400 870160 910336 927100 934400 946150 953600 1038352 1046528 1059688 1068032 1087700 1137920 1186688 1211072 1218224 1297940 1300480 1308160 1324610 1335040 1381379 1392256 1422400 1483360 1495040 1513840 1522780 1525760 1622425 1625600 1635200 1668800 1740320 1820672 1854200 1868800 1892300 1903475 1907200 2076704 2093056 2119376 2136064 2175400 2275840 2373376 2422144 2436448 2595880 2600960 2616320 2649220 2670080 2762758 2784512 2844800 2966720 3027680 3045560 3051520 3244850 3251200 3270400 3311525 3337600 3480640 3641344 3708400 3737600 3784600 3806950 3814400 4153408 4238752 4272128 4350800 4551680 4746752 4844288 4872896 5191760 5232640 5298440 5340160 5525516 5569024 5689600 5933440 6055360 6091120 6489700 6502400 6540800 6623050 6675200 6906895 6961280 7416800 7475200 7569200 7613900 7628800 8306816 8477504 8701600 9103360 9493504 9669653 9688576 9745792 10383520 10465280 10596880 10680320 11051032 11138048 11379200 11866880 12110720 12182240 12979400 13004800 13081600 13246100 13350400 13813790 13922560 14833600 15138400 15227800 15257600 16613632 16955008 17403200 18206720 18987008 19339306 19377152 19491584 20767040 21193760 21360640 22102064 22276096 22758400 23733760 24221440 24364480 25958800 26163200 26492200 26700800 27627580 27845120 29667200 30276800 30455600 33227264 33910016 34534475 34806400 37974016 38678612 38754304 38983168 41534080 42387520 44204128 44552192 45516800 47467520 48348265 48442880 48728960 51917600 52326400 52984400 53401600 55255160 55690240 59334400 60553600 60911200 66454528 67820032 69068950 69612800 77357224 77508608 77966336 83068160 84775040 88408256 91033600 94935040 96696530 96885760 97457920 103835200 105968800 106803200 110510320 111380480 118668800 121107200 121822400 132909056 135640064 138137900 139225600 154714448 155932672 166136320 169550080 176816512 189870080 193393060 193771520 194915840 207670400 211937600 221020640 222760960 237337600 241741325 242214400 243644800 265818112 271280128 276275800 278451200 309428896 311865344 332272640 339100160 353633024 386786120 387543040 389831680 415340800 423875200 442041280 474675200 483482650 484428800 487289600 542560256 552551600 556902400 618857792 664545280 678200320 707266048 773572240 779663360 830681600 847750400 884082560 949350400 966965300 968857600 974579200 1105103200 1113804800 1237715584 1329090560 1356400640 1414532096 1547144480 1559326720 1661363200 1695500800 1768165120 1933930600 1937715200 1949158400 2210206400 2475431168 2712801280 2829064192 3094288960 3322726400 3391001600 3536330240 3867861200 3898316800 4420412800 4950862336 5658128384 6188577920 6645452800 6782003200 7072660480 7735722400 7796633600 8840825600 9901724672 12377155840 13564006400 14145320960 15471444800 17681651200 19803449344 24754311680 28290641920 30942889600 35363302400 39606898688 49508623360 61885779200 70726604800 99017246720 123771558400 141453209600 198034493440 247543116800 495086233600 990172467200
- Sum of all divisors σ(n): 2886167654400
- Sum of proper divisors (its aliquot sum) s(n): 1895995187200
- 990172467200 is an abundant number, because the sum of its proper divisors (1895995187200) is greater than itself. Its abundance is 905822720000
Bases of 990172467200
- Binary: 11100110100010101110000011010000000000002
- Hexadecimal: 0xE68AE0D000
- Base-36: CMVN4DFK
Squares and roots of 990172467200
- 990172467200 squared (9901724672002) is 980441514800935075840000
- 990172467200 cubed (9901724672003) is 970806193655747200911511912448000000
-
The
square root of 990172467200 is 995074.1013613005 -
The
cube root of 990172467200 is 9967.1336560171
Scales and comparisons
How big is 990172467200?- 990,172,467,200 seconds is equal to 31,484 years, 21 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 990,172,467,200 would take you about sixty-two thousand, nine hundred sixty-eight 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 990172467200 cubic inches would be around 830.6 feet tall.
Recreational maths with 990172467200
- 990172467200 backwards is 002764271099
- The number of decimal digits it has is: 12
- The sum of 990172467200's digits is 47
- More coming soon!
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