985968984
985,968,984 is an even composite number composed of six prime numbers multiplied together.
985968984 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 985968984:
23 × 3 × 72 × 112 × 132 × 41
(2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 13 × 13 × 41)See below for interesting mathematical facts about the number 985968984 from the Numbermatics database.
Names of 985968984
- Cardinal: 985968984 can be written as Nine hundred eighty-five million, nine hundred sixty-eight thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 9.85968984 × 108
Factors of 985968984
Divisors of 985968984
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 41 42 44 49 52 56 66 77 78 82 84 88 91 98 104 121 123 132 143 147 154 156 164 168 169 182 196 231 242 246 264 273 286 287 294 308 312 328 338 363 364 392 429 451 462 484 492 507 533 539 546 572 574 588 616 637 676 726 728 847 858 861 902 924 968 984 1001 1014 1066 1078 1092 1144 1148 1176 1183 1274 1352 1353 1452 1573 1599 1617 1694 1716 1722 1804 1848 1859 1911 2002 2009 2028 2132 2156 2184 2296 2366 2541 2548 2706 2904 3003 3146 3157 3198 3234 3388 3432 3444 3549 3608 3718 3731 3822 4004 4018 4056 4264 4312 4719 4732 4961 5082 5096 5412 5577 5863 5929 6006 6027 6292 6314 6396 6468 6776 6888 6929 7007 7098 7436 7462 7644 8008 8036 8281 9438 9464 9471 9922 10164 10824 11011 11154 11193 11726 11858 12012 12054 12584 12628 12792 12936 13013 13858 14014 14196 14872 14883 14924 15288 16072 16562 17589 17787 18876 18942 19844 20328 20449 20787 21021 22022 22099 22308 22386 23452 23716 24024 24108 24843 25256 26026 26117 27716 28028 28392 29766 29848 33033 33124 34727 35178 35574 37752 37884 39039 39688 40898 41041 41574 42042 44044 44198 44616 44772 46904 47432 48216 48503 49686 52052 52234 55432 56056 59532 61347 64493 66066 66248 66297 69454 70356 71148 75768 76219 77077 78078 78351 81796 82082 83148 84084 88088 88396 89544 91091 97006 99372 104104 104181 104468 119064 122694 123123 128986 132132 132594 138908 140712 142296 143143 145509 152438 154154 156156 156702 163592 164164 166296 168168 176792 182182 193479 194012 198744 208362 208936 228657 231231 243089 245388 246246 257972 264264 265188 273273 277816 286286 287287 291018 304876 308308 312312 313404 328328 339521 364364 386958 388024 416724 429429 451451 457314 462462 486178 490776 492492 515944 530376 533533 546546 572572 574574 582036 609752 616616 626808 679042 728728 729267 773916 833448 838409 858858 861861 902902 914628 924924 972356 984984 1002001 1018563 1067066 1093092 1145144 1149148 1164072 1354353 1358084 1458534 1547832 1600599 1676818 1717716 1723722 1805804 1829256 1849848 1944712 2004002 2037126 2134132 2186184 2298296 2515227 2708706 2716168 2917068 3006003 3160157 3201198 3353636 3435432 3447444 3611608 3734731 4008004 4074252 4268264 5030454 5417412 5834136 5868863 6012006 6320314 6402396 6707272 6894888 7469462 8016008 8148504 9480471 10060908 10834824 11204193 11737726 12024012 12640628 12804792 14938924 17606589 18960942 20121816 22408386 23475452 24048024 25281256 29877848 35213178 37921884 41082041 44816772 46950904 70426356 75843768 82164082 89633544 123246123 140852712 164328164 246492246 328656328 492984492 985968984
- Sum of all divisors σ(n): 3496053960
- Sum of proper divisors (its aliquot sum) s(n): 2510084976
- 985968984 is an abundant number, because the sum of its proper divisors (2510084976) is greater than itself. Its abundance is 1524115992
Bases of 985968984
- Binary: 1110101100010010110001010110002
- Hexadecimal: 0x3AC4B158
- Base-36: GB0QJC
Squares and roots of 985968984
- 985968984 squared (9859689842) is 972134837409992256
- 985968984 cubed (9859689843) is 958494797952135256096187904
-
The
square root of 985968984 is 31400.1430569989 -
The
cube root of 985968984 is 995.3009481655
Scales and comparisons
How big is 985968984?- 985,968,984 seconds is equal to 31 years, 18 weeks, 1 day, 16 hours, 16 minutes, 24 seconds.
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To count from 1 to 985,968,984 would take you about forty-seven 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 985968984 cubic inches would be around 82.9 feet tall.
Recreational maths with 985968984
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