985040100
985,040,100 is an even composite number composed of seven prime numbers multiplied together.
What does the number 985040100 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
985040100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 985040100:
22 × 32 × 52 × 11 × 29 × 47 × 73
(2 × 2 × 3 × 3 × 5 × 5 × 11 × 29 × 47 × 73)See below for interesting mathematical facts about the number 985040100 from the Numbermatics database.
Names of 985040100
- Cardinal: 985040100 can be written as Nine hundred eighty-five million, forty thousand, one hundred.
Scientific notation
- Scientific notation: 9.850401 × 108
Factors of 985040100
Divisors of 985040100
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 29 30 33 36 44 45 47 50 55 58 60 66 73 75 87 90 94 99 100 110 116 132 141 145 146 150 165 174 180 188 198 219 220 225 235 261 275 282 290 292 300 319 330 348 365 396 423 435 438 450 470 495 517 522 550 564 580 638 657 660 705 725 730 803 825 846 870 876 900 940 957 990 1034 1044 1095 1100 1175 1276 1305 1314 1363 1410 1450 1460 1551 1595 1606 1650 1692 1740 1825 1914 1980 2068 2115 2117 2175 2190 2350 2409 2475 2585 2610 2628 2726 2820 2871 2900 3102 3190 3212 3285 3300 3431 3525 3650 3828 4015 4089 4230 4234 4350 4380 4653 4700 4785 4818 4950 5170 5220 5452 5475 5742 6204 6351 6380 6525 6570 6815 6862 7050 7227 7300 7755 7975 8030 8178 8460 8468 8700 9306 9570 9636 9900 10293 10340 10575 10585 10950 11484 12045 12267 12702 12925 13050 13140 13630 13724 14100 14355 14454 14993 15510 15950 16060 16356 16425 17155 18612 19053 19140 20075 20445 20586 21150 21170 21900 23265 23287 23925 24090 24534 25404 25850 26100 27260 28710 28908 29986 30879 31020 31755 31900 32850 34075 34310 36135 37741 38106 38775 40150 40890 41172 42300 42340 44979 46530 46574 47850 48180 49068 51465 51700 52925 57420 59972 60225 61335 61758 63510 65700 68150 68620 69861 71775 72270 74965 75482 76212 77550 80300 81780 85775 89958 93060 93148 95265 95700 99499 102225 102930 105850 113223 116325 116435 120450 122670 123516 127020 134937 136300 139722 143550 144540 149930 150964 154395 155100 158775 171550 179916 180675 188705 190530 198998 204450 205860 209583 211700 224895 226446 232650 232870 240900 245340 257325 269874 279444 287100 298497 299860 306675 308790 317550 339669 343100 349305 361350 374825 377410 381060 397996 408900 419166 449790 452892 465300 465740 476325 497495 514650 539748 566115 582175 596994 613350 617580 635100 674685 679338 698610 722700 749650 754820 771975 838332 895491 899580 943525 952650 994990 1029300 1047915 1094489 1124475 1132230 1164350 1193988 1226700 1349370 1358676 1397220 1492485 1499300 1543950 1698345 1746525 1790982 1887050 1905300 1989980 2095830 2188978 2248950 2264460 2328700 2487475 2698740 2830575 2984970 3087900 3283467 3373425 3396690 3493050 3581964 3774100 4191660 4377956 4477455 4497900 4974950 5239575 5472445 5661150 5969940 6566934 6746850 6793380 6986100 7462425 8491725 8954910 9850401 9949900 10479150 10944890 11322300 13133868 13493700 14924850 16417335 16983450 17909820 19700802 20958300 21889780 22387275 27362225 29849700 32834670 33966900 39401604 44774550 49252005 54724450 65669340 82086675 89549100 98504010 109448900 164173350 197008020 246260025 328346700 492520050 985040100
- Sum of all divisors σ(n): 3607269120
- Sum of proper divisors (its aliquot sum) s(n): 2622229020
- 985040100 is an abundant number, because the sum of its proper divisors (2622229020) is greater than itself. Its abundance is 1637188920
Bases of 985040100
- Binary: 1110101011011010000100111001002
- Hexadecimal: 0x3AB684E4
- Base-36: GAGTT0
Squares and roots of 985040100
- 985040100 squared (9850401002) is 970303998608010000
- 985040100 cubed (9850401003) is 955788347819234031201000000
-
The
square root of 985040100 is 31385.3484925689 -
The
cube root of 985040100 is 994.9882914037
Scales and comparisons
How big is 985040100?- 985,040,100 seconds is equal to 31 years, 16 weeks, 4 days, 22 hours, 15 minutes.
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To count from 1 to 985,040,100 would take you about forty-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 985040100 cubic inches would be around 82.9 feet tall.
Recreational maths with 985040100
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