972738116064
972,738,116,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 972738116064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
972738116064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 972738116064:
25 × 34 × 113 × 13 × 232 × 41
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 23 × 23 × 41)See below for interesting mathematical facts about the number 972738116064 from the Numbermatics database.
Names of 972738116064
- Cardinal: 972738116064 can be written as Nine hundred seventy-two billion, seven hundred thirty-eight million, one hundred sixteen thousand and sixty-four.
Scientific notation
- Scientific notation: 9.72738116064 × 1011
Factors of 972738116064
Divisors of 972738116064
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 41 44 46 48 52 54 66 69 72 78 81 82 88 92 96 99 104 108 117 121 123 132 138 143 144 156 162 164 176 184 198 207 208 216 234 242 246 253 264 276 286 288 297 299 312 324 328 351 352 363 368 369 396 414 416 429 432 451 468 484 492 506 528 529 533 552 572 594 598 621 624 648 656 702 726 736 738 759 792 828 858 864 891 897 902 936 943 968 984 1012 1053 1056 1058 1066 1089 1104 1107 1144 1188 1196 1242 1248 1287 1296 1312 1331 1353 1404 1452 1476 1518 1573 1584 1587 1599 1656 1716 1782 1794 1804 1863 1872 1886 1936 1968 2024 2106 2116 2132 2178 2208 2214 2277 2288 2376 2392 2484 2574 2592 2662 2691 2706 2783 2808 2829 2904 2952 3036 3146 3168 3174 3198 3267 3289 3312 3321 3432 3564 3588 3608 3726 3744 3772 3861 3872 3936 3993 4048 4059 4212 4232 4264 4356 4428 4554 4576 4719 4752 4761 4784 4797 4961 4968 5148 5324 5382 5412 5566 5616 5658 5808 5819 5863 5904 6072 6292 6348 6396 6534 6578 6624 6642 6831 6864 6877 7128 7176 7216 7452 7544 7722 7986 8073 8096 8118 8349 8424 8464 8487 8528 8712 8856 9108 9438 9504 9522 9568 9594 9801 9867 9922 9936 10296 10373 10648 10764 10824 11132 11232 11316 11583 11616 11638 11726 11808 11979 12144 12177 12259 12584 12696 12792 13068 13156 13284 13662 13728 13754 14157 14256 14283 14352 14391 14432 14883 14904 15088 15444 15972 16146 16236 16698 16848 16928 16974 17056 17303 17424 17457 17589 17712 18216 18876 19044 19188 19602 19734 19844 19872 20493 20592 20631 20746 21296 21528 21648 21689 22264 22632 23166 23276 23452 23958 24219 24288 24354 24518 25047 25168 25392 25461 25584 26136 26312 26568 27324 27508 28314 28512 28566 28704 28782 29601 29766 29808 30176 30613 30888 31119 31944 32292 32472 33396 33696 33948 34606 34848 34914 35178 35424 35937 36179 36432 36531 36777 37752 38088 38376 39204 39468 39688 40986 41184 41262 41492 42471 42592 42849 43056 43173 43296 43378 44528 44649 45264 46332 46552 46904 47916 48438 48708 49036 50094 50336 50784 50922 51168 51909 52272 52371 52624 52767 53136 54571 54648 55016 56628 57132 57564 59202 59532 59616 61226 61776 61893 62238 63888 64009 64493 64584 64944 65067 66792 67896 69212 69828 70356 71874 72358 72864 73062 73554 75141 75504 75647 76176 76383 76752 78408 78936 79376 81972 82524 82984 84942 85698 86112 86346 86756 88803 89056 89298 90528 91839 92664 93104 93357 93808 95832 96876 97416 98072 100188 101844 103818 104544 104742 105248 105534 106272 107811 108537 109142 109296 110032 110331 113256 114103 114264 115128 118404 119064 122452 123552 123786 124476 127413 127776 128018 128986 129168 129888 130134 133584 133947 134849 135792 138424 139656 140712 143748 144716 146124 147108 150282 151008 151294 152352 152766 153504 155727 156816 157113 157872 158301 158752 163713 163944 165048 165968 169884 171396 172692 173512 177606 178596 183678 185328 185679 186208 186714 187616 191664 192027 193479 193752 194832 195201 196144 200376 203688 207636 209484 211068 215622 217074 218284 218592 220064 220662 225423 226512 226941 228206 228528 230256 236808 238128 238579 244904 247572 248952 254826 256036 257972 258336 260268 266409 267168 267894 269698 271584 275517 276848 279312 280071 281424 281957 287496 289432 292248 294216 300564 302588 305532 311454 313632 314226 315744 316602 325611 327426 327888 330096 330993 331936 339768 342309 342792 345384 347024 355212 357192 367356 370656 371358 373428 383328 384054 386958 387504 389664 390402 392288 397969 400752 401841 404547 407376 415272 418968 422136 431244 434148 436568 441324 450846 453024 453882 456412 457056 460512 467181 471339 473616 474903 476256 477158 489808 491139 495144 497904 509652 512072 515944 520536 532818 535788 539396 551034 553696 557037 558624 560142 562848 563914 574992 576081 578864 580437 584496 585603 588432 601128 605176 611064 622908 628452 633204 651222 654852 655776 660192 661986 679536 680823 684618 685584 690768 694048 704099 709423 710424 714384 715737 734712 742716 746856 768108 773916 775008 780804 795938 801504 803682 809094 814752 826551 830544 832117 837936 840213 844272 845871 862488 868296 873136 882648 901692 907764 912824 934362 942678 947232 949806 954316 976833 979616 982278 990288 992979 995808 1019304 1024144 1026927 1031888 1041072 1065636 1071576 1078792 1102068 1114074 1120284 1127828 1149984 1152162 1157728 1160874 1168992 1171206 1176864 1193907 1202256 1210352 1213641 1222128 1245816 1255133 1256904 1266408 1302444 1309704 1323972 1359072 1361646 1369236 1371168 1381536 1401543 1408198 1418846 1420848 1428768 1431474 1469424 1473417 1483339 1485432 1493712 1536216 1547832 1561608 1591876 1607364 1618188 1653102 1661088 1664234 1675872 1680426 1688544 1691742 1724976 1728243 1736592 1741311 1746272 1756809 1765296 1803384 1815528 1825648 1868724 1885356 1899612 1908632 1953666 1964556 1980576 1985958 2038608 2042469 2048288 2053854 2063776 2082144 2112297 2128269 2131272 2143152 2147211 2157584 2204136 2228148 2240568 2255656 2304324 2321748 2342412 2387814 2404512 2420704 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81203616 82379583 82955664 83582928 83741229 83979808 85961304 86604177 87382152 89868636 90369576 91354068 93775968 94477284 97900374 98038512 98584992 99248864 101390256 101665773 102156912 102350391 103066128 106800408 109839444 111654972 114064038 114615072 114926526 115472236 116509536 119824848 120150459 120492768 121805424 125969712 128941956 130533832 134802954 135554364 136467188 141448032 141715926 142400544 146452592 146850561 147877488 148873296 152085384 153235368 154599192 160200612 164759166 165911328 167165856 167482458 171922608 173208354 174764304 179737272 180739152 182708136 188954568 195800748 196077024 202780512 203331546 204313824 204700782 206132256 212573889 213600816 219678888 223309944 228128076 229853052 230944472 239649696 240300918 243610848 247138749 251223687 251939424 257883912 259812531 261067664 269605908 271108728 272934376 283431852 292905184 293701122 295754976 297746592 304170768 306470736 307051173 309198384 320401224 329518332 334964916 343845216 346416708 349528608 359474544 361478304 365416272 375284767 377909136 391601496 406663092 409401564 425147778 427201632 439357776 440551683 446619888 456256152 459706104 461888944 480601836 494277498 502447374 515767824 519625062 522135328 539211816 542217456 545868752 566863704 587402244 608341536 612941472 614102346 618396768 640802448 659036664 669929832 692833416 718949088 730832544 741416247 750569534 755818272 779437593 783202992 813326184 818803128 850295556 878715552 881103366 893239776 912512304 919412208 921153519 923777888 961203672 988554996 1004894748 1031535648 1039250124 1078423632 1084434912 1091737504 1125854301 1133727408 1174804488 1228204692 1281604896 1318073328 1321655049 1339859664 1385666832 1482832494 1501139068 1558875186 1566405984 1626652368 1637606256 1700591112 1762206732 1825024608 1838824416 1842307038 1922407344 1977109992 2009789496 2078500248 2156847264 2251708602 2267454816 2338312779 2349608976 2456409384 2636146656 2643310098 2679719328 2763460557 2771333664 2965664988 3002278136 3117750372 3253304736 3275212512 3377562903 3401182224 3524413464 3684614076 3844814688 3954219984 4019578992 4157000496 4503417204 4676625558 4699217952 4912818768 5286620196 5526921114 5931329976 6004556272 6235500744 6755125806 6802364448 7048826928 7369228152 7908439968 8039157984 8314000992 9006834408 9353251116 9825637536 10132688709 10573240392 11053842228 11862659952 12009112544 12471001488 13510251612 14097653856 14738456304 18013668816 18706502232 20265377418 21146480784 22107684456 23725319904 24942002976 27020503224 29476912608 30398066127 36027337632 37413004464 40530754836 42292961568 44215368912 54041006448 60796132254 74826008928 81061509672 88430737824 108082012896 121592264508 162123019344 243184529016 324246038688 486369058032 972738116064
- Sum of all divisors σ(n): 3628853651808
- Sum of proper divisors (its aliquot sum) s(n): 2656115535744
- 972738116064 is an abundant number, because the sum of its proper divisors (2656115535744) is greater than itself. Its abundance is 1683377419680
Bases of 972738116064
- Binary: 11100010011110111011010110111001111000002
- Hexadecimal: 0xE27BB5B9E0
- Base-36: CEVB5Q00
Squares and roots of 972738116064
- 972738116064 squared (9727381160642) is 946219442443739934852096
- 972738116064 cubed (9727381160643) is 920423717825852064538389957521670144
-
The
square root of 972738116064 is 986274.8684134661 -
The
cube root of 972738116064 is 9908.2885253711
Scales and comparisons
How big is 972738116064?- 972,738,116,064 seconds is equal to 30,930 years, 3 weeks, 2 days, 14 minutes, 24 seconds.
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To count from 1 to 972,738,116,064 would take you about sixty-one thousand, eight hundred sixty 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 972738116064 cubic inches would be around 825.7 feet tall.
Recreational maths with 972738116064
- 972738116064 backwards is 460611837279
- 972738116064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 972738116064's digits is 54
- More coming soon!
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"Number 972738116064 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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The information we have on file for 972738116064 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 972738116064, math, Factors of 972738116064, curriculum, school, college, exams, university, Prime factorization of 972738116064, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two billion, seven hundred thirty-eight million, one hundred sixteen thousand and sixty-four.