3970400467968
3,970,400,467,968 is an even composite number composed of five prime numbers multiplied together.
3970400467968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 3970400467968:
210 × 35 × 112 × 17 × 7757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 17 × 7757)See below for interesting mathematical facts about the number 3970400467968 from the Numbermatics database.
Names of 3970400467968
- Cardinal: 3970400467968 can be written as Three trillion, nine hundred seventy billion, four hundred million, four hundred sixty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.970400467968 × 1012
Factors of 3970400467968
Divisors of 3970400467968
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 81 88 96 99 102 108 121 128 132 136 144 153 162 176 187 192 198 204 216 242 243 256 264 272 288 297 306 324 352 363 374 384 396 408 432 459 484 486 512 528 544 561 576 594 612 648 704 726 748 768 792 816 864 891 918 968 972 1024 1056 1088 1089 1122 1152 1188 1224 1296 1377 1408 1452 1496 1536 1584 1632 1683 1728 1782 1836 1936 1944 2057 2112 2176 2178 2244 2304 2376 2448 2592 2673 2754 2816 2904 2992 3072 3168 3264 3267 3366 3456 3564 3672 3872 3888 4114 4131 4224 4352 4356 4488 4608 4752 4896 5049 5184 5346 5508 5632 5808 5984 6171 6336 6528 6534 6732 6912 7128 7344 7744 7757 7776 8228 8262 8448 8704 8712 8976 9216 9504 9792 9801 10098 10368 10692 11016 11264 11616 11968 12342 12672 13056 13068 13464 13824 14256 14688 15147 15488 15514 15552 16456 16524 16896 17408 17424 17952 18513 19008 19584 19602 20196 20736 21384 22032 23232 23271 23936 24684 25344 26112 26136 26928 27648 28512 29376 29403 30294 30976 31028 31104 32912 33048 33792 34848 35904 37026 38016 39168 39204 40392 41472 42768 44064 45441 46464 46542 47872 49368 50688 52224 52272 53856 55539 57024 58752 58806 60588 61952 62056 62208 65824 66096 69696 69813 71808 74052 76032 78336 78408 80784 82944 85327 85536 88128 90882 92928 93084 95744 98736 101376 104544 107712 111078 114048 117504 117612 121176 123904 124112 124416 131648 131869 132192 139392 139626 143616 148104 152064 156672 156816 161568 166617 170654 171072 176256 181764 185856 186168 191488 197472 209088 209439 215424 222156 228096 235008 235224 242352 248224 248832 255981 263296 263738 264384 278784 279252 287232 296208 304128 313632 323136 333234 341308 342144 352512 363528 371712 372336 394944 395607 418176 418878 430848 444312 456192 470016 470448 484704 496448 499851 511962 526592 527476 528768 557568 558504 574464 592416 627264 628317 646272 666468 682616 684288 705024 727056 744672 767943 789888 791214 836352 837756 861696 888624 912384 938597 940896 969408 992896 999702 1023924 1053184 1054952 1057536 1115136 1117008 1184832 1186821 1254528 1256634 1292544 1332936 1365232 1368576 1410048 1450559 1454112 1489344 1535886 1579776 1582428 1672704 1675512 1723392 1777248 1877194 1881792 1884951 1938816 1985792 1999404 2047848 2106368 2109904 2115072 2234016 2303829 2369664 2373642 2509056 2513268 2585088 2665872 2730464 2737152 2815791 2901118 2908224 2978688 3071772 3159552 3164856 3345408 3351024 3554496 3560463 3754388 3763584 3769902 3877632 3971584 3998808 4095696 4219808 4230144 4351677 4468032 4607658 4739328 4747284 5018112 5026536 5170176 5331744 5460928 5631582 5802236 5816448 5957376 6143544 6319104 6329712 6702048 6911487 7108992 7120926 7508776 7527168 7539804 7755264 7943168 7997616 8191392 8439616 8447373 8703354 8936064 9215316 9478656 9494568 10036224 10053072 10663488 10681389 10921856 11263164 11604472 11632896 11914752 12287088 12659424 13055031 13404096 13822974 14217984 14241852 15017552 15054336 15079608 15510528 15956149 15995232 16382784 16879232 16894746 17406708 17872128 18430632 18957312 18989136 20106144 20734461 21326976 21362778 21843712 22526328 23208944 23265792 23829504 24574176 25318848 25342119 26110062 26808192 27645948 28435968 28483704 30035104 30108672 30159216 31912298 31990464 32044167 32765568 33758464 33789492 34813416 35744256 36861264 37978272 39165093 40212288 41468922 42653952 42725556 43687424 45052656 46417888 46531584 47868447 49148352 50637696 50684238 52220124 53616384 55291896 56871936 56967408 60070208 60318432 63824596 63980928 64088334 65531136 67516928 67578984 69626832 71488512 73722528 75956544 76026357 78330186 80424576 82937844 85307904 85451112 87374848 90105312 92835776 95736894 98296704 101275392 101368476 104440248 107232768 110583792 113934816 117495279 120140416 120636864 127649192 127961856 128176668 131062272 135033856 135157968 139253664 143605341 147445056 151913088 152052714 156660372 160849152 165875688 170615808 170902224 180210624 185671552 191473788 196593408 202550784 202736952 208880496 214465536 221167584 227869632 228079071 234990558 240280832 241273728 255298384 255923712 256353336 262124544 270315936 278507328 287210682 294890112 303826176 304105428 313320744 321698304 331751376 341804448 352485837 360421248 371343104 382947576 393186816 405101568 405473904 417760992 430816023 442335168 455739264 456158142 469981116 480561664 482547456 510596768 511847424 512706672 540631872 557014656 574421364 589780224 607652352 608210856 626641488 643396608 663502752 683608896 704971674 720842496 742686208 765895152 786373632 810947808 835521984 861632046 884670336 911478528 912316284 939962232 961123328 965094912 1021193536 1025413344 1081263744 1114029312 1148842728 1179560448 1215304704 1216421712 1253282976 1292448069 1327005504 1367217792 1409943348 1441684992 1485372416 1531790304 1621895616 1671043968 1723264092 1769340672 1822957056 1824632568 1879924464 1930189824 2042387072 2050826688 2162527488 2228058624 2297685456 2359120896 2432843424 2506565952 2584896138 2654011008 2734435584 2819886696 2883369984 3063580608 3243791232 3342087936 3446528184 3538681344 3645914112 3649265136 3759848928 3877344207 4084774144 4101653376 4325054976 4456117248 4595370912 4865686848 5013131904 5169792276 5308022016 5468871168 5639773392 6127161216 6487582464 6684175872 6893056368 7077362688 7298530272 7519697856 7754688414 8169548288 8203306752 8650109952 9190741824 9731373696 10026263808 10339584552 10616044032 10937742336 11279546784 12254322432 12975164928 13368351744 13786112736 14597060544 15039395712 15509376828 16339096576 16406613504 18381483648 19462747392 20052527616 20679169104 21232088064 22559093568 24508644864 25950329856 27572225472 29194121088 30078791424 31018753656 32813227008 36762967296 38925494784 40105055232 41358338208 45118187136 49017289728 55144450944 58388242176 60157582848 62037507312 73525934592 77850989568 82716676416 90236374272 110288901888 116776484352 120315165696 124075014624 147051869184 165433352832 180472748544 220577803776 233552968704 248150029248 330866705664 360945497088 441155607552 496300058496 661733411328 992600116992 1323466822656 1985200233984 3970400467968
- Sum of all divisors σ(n): 13838631586416
- Sum of proper divisors (its aliquot sum) s(n): 9868231118448
- 3970400467968 is an abundant number, because the sum of its proper divisors (9868231118448) is greater than itself. Its abundance is 5897830650480
Bases of 3970400467968
- Binary: 1110011100011011100100111100111100000000002
- Hexadecimal: 0x39C6E4F3C00
- Base-36: 1ENZ5XC00
Squares and roots of 3970400467968
- 3970400467968 squared (39704004679682) is 15764079876040513394049024
- 3970400467968 cubed (39704004679683) is 62589710116916185810659216875933663232
-
The
square root of 3970400467968 is 1992586.3765387939 -
The
cube root of 3970400467968 is 15834.7582656093
Scales and comparisons
How big is 3970400467968?- 3,970,400,467,968 seconds is equal to 126,246 years, 23 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 3,970,400,467,968 would take you about three hundred fifteen thousand, six hundred sixteen 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 3970400467968 cubic inches would be around 1319.6 feet tall.
Recreational maths with 3970400467968
- 3970400467968 backwards is 8697640040793
- The number of decimal digits it has is: 13
- The sum of 3970400467968's digits is 63
- More coming soon!
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