972001006020
972,001,006,020 is an even composite number composed of six prime numbers multiplied together.
972001006020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 972001006020:
22 × 35 × 5 × 11 × 37 × 7012
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 37 × 701 × 701)See below for interesting mathematical facts about the number 972001006020 from the Numbermatics database.
Names of 972001006020
- Cardinal: 972001006020 can be written as Nine hundred seventy-two billion, one million, six thousand and twenty.
Scientific notation
- Scientific notation: 9.7200100602 × 1011
Factors of 972001006020
Divisors of 972001006020
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 37 44 45 54 55 60 66 74 81 90 99 108 110 111 132 135 148 162 165 180 185 198 220 222 243 270 297 324 330 333 370 396 405 407 444 486 495 540 555 594 660 666 701 740 810 814 891 972 990 999 1110 1188 1215 1221 1332 1402 1485 1620 1628 1665 1782 1980 1998 2035 2103 2220 2430 2442 2673 2804 2970 2997 3330 3505 3564 3663 3996 4070 4206 4455 4860 4884 4995 5346 5940 5994 6105 6309 6660 7010 7326 7711 8140 8412 8910 8991 9990 10515 10692 10989 11988 12210 12618 13365 14020 14652 14985 15422 17820 17982 18315 18927 19980 21030 21978 23133 24420 25236 25937 26730 29970 30844 31545 32967 35964 36630 37854 38555 42060 43956 44955 46266 51874 53460 54945 56781 59940 63090 65934 69399 73260 75708 77110 77811 89910 92532 94635 98901 103748 109890 113562 115665 126180 129685 131868 138798 154220 155622 164835 170343 179820 189270 197802 208197 219780 227124 231330 233433 259370 277596 283905 285307 311244 329670 340686 346995 378540 389055 395604 416394 462660 466866 491401 494505 518740 567810 570614 624591 659340 681372 693990 700299 778110 832788 851715 855921 933732 982802 989010 1040985 1135620 1141228 1167165 1249182 1387980 1400598 1426535 1474203 1556220 1703430 1711842 1873773 1965604 1978020 2081970 2100897 2334330 2457005 2498364 2567763 2801196 2853070 2948406 3122955 3406860 3423684 3501495 3747546 4163940 4201794 4279605 4422609 4668660 4914010 5135526 5405411 5706140 5896812 6245910 6302691 7002990 7371015 7495092 7703289 8403588 8559210 8845218 9368865 9828020 10271052 10504485 10810822 12491820 12605382 12838815 13267827 14005980 14742030 15406578 16216233 17118420 17690436 18181837 18737730 21008970 21621644 22113045 23109867 25210764 25677630 26535654 27027055 29484060 30813156 31513455 32432466 36363674 37475460 38516445 39803481 42017940 44226090 46219734 48648699 51355260 53071308 54054110 54545511 63026910 64864932 66339135 69329601 72727348 77032890 79606962 81081165 88452180 90909185 92439468 97297398 108108220 109091022 115549335 119410443 126053820 132678270 138659202 145946097 154065780 159213924 162162330 163636533 181818370 194594796 199017405 200000207 218182044 231098670 238820886 243243495 265356540 272727555 277318404 291892194 324324660 327273066 346648005 363636740 398034810 400000414 437838291 462197340 477641772 486486990 490909599 545455110 583784388 597052215 600000621 654546132 693296010 729730485 796069620 800000828 818182665 875676582 972973980 981819198 1000001035 1090910220 1194104430 1200001242 1313514873 1386592020 1459460970 1472728797 1636365330 1751353164 1800001863 1963638396 2000002070 2189191455 2388208860 2400002484 2454547995 2627029746 2918921940 2945457594 3000003105 3272730660 3600003726 4000004140 4378382910 4418186391 4909095990 5254059492 5400005589 5890915188 6000006210 6567574365 7200007452 7363643985 8756765820 8836372782 9000009315 9818191980 10800011178 12000012420 13135148730 14727287970 16200016767 17672745564 18000018630 21600022356 22090931955 26270297460 27000027945 29454575940 32400033534 36000037260 44181863910 48600050301 54000055890 64800067068 81000083835 88363727820 97200100602 108000111780 162000167670 194400201204 243000251505 324000335340 486000503010 972001006020
- Sum of all divisors σ(n): 3430611422784
- Sum of proper divisors (its aliquot sum) s(n): 2458610416764
- 972001006020 is an abundant number, because the sum of its proper divisors (2458610416764) is greater than itself. Its abundance is 1486609410744
Bases of 972001006020
- Binary: 11100010010011111100011001010001110001002
- Hexadecimal: 0xE24FC651C4
- Base-36: CEJ4AW90
Squares and roots of 972001006020
- 972001006020 squared (9720010060202) is 944785955703892076240400
- 972001006020 cubed (9720010060203) is 918332899417750255335175339367208000
-
The
square root of 972001006020 is 985901.1137127293 -
The
cube root of 972001006020 is 9905.7851641775
Scales and comparisons
How big is 972001006020?- 972,001,006,020 seconds is equal to 30,906 years, 32 weeks, 3 days, 15 hours, 27 minutes.
-
To count from 1 to 972,001,006,020 would take you about sixty-one thousand, eight hundred thirteen 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 972001006020 cubic inches would be around 825.5 feet tall.
Recreational maths with 972001006020
- 972001006020 backwards is 020600100279
- 972001006020 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 972001006020's digits is 27
- More coming soon!
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