999920417664

Names of 999920417664

• Cardinal: 999920417664 can be written as Nine hundred ninety-nine billion, nine hundred twenty million, four hundred seventeen thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 9.99920417664 × 10¹¹

Factors of 999920417664

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1160

Divisors of 999920417664

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 32 42 46 48 49 56 62 64 69 73 84 92 93 96 98 112 124 128 138 146 147 161 168 184 186 192 196 217 219 224 248 276 292 294 322 336 368 372 384 392 434 438 448 483 496 511 552 584 588 644 651 672 713 736 744 784 868 876 896 966 992 1021 1022 1104 1127 1168 1176 1288 1302 1344 1426 1472 1488 1519 1533 1568 1679 1736 1752 1932 1984 2042 2044 2139 2208 2254 2263 2336 2352 2576 2604 2688 2852 2944 2976 3038 3063 3066 3136 3358 3381 3472 3504 3577 3864 3968 4084 4088 4278 4416 4508 4526 4557 4672 4704 4991 5037 5152 5208 5704 5952 6076 6126 6132 6272 6716 6762 6789 6944 7008 7147 7154 7728 8168 8176 8556 8832 9016 9052 9114 9344 9408 9982 10074 10304 10416 10731 11408 11753 11904 12152 12252 12264 13432 13524 13578 13888 14016 14294 14308 14973 15456 15841 16336 16352 17112 18032 18104 18228 18816 19964 20148 20608 20832 21441 21462 22816 23483 23506 24304 24504 24528 26864 27048 27156 27776 28032 28588 28616 29946 30912 31651 31682 32672 32704 34224 34937 35259 36064 36208 36456 39928 40296 41664 42882 42924 45632 46966 47012 47523 48608 49008 49056 50029 52049 53728 54096 54312 57176 57232 59892 61824 63302 63364 65344 65408 68448 69874 70449 70518 72128 72416 72912 74533 79856 80592 82271 83328 85764 85848 91264 93932 94024 94953 95046 97216 98016 98112 100058 104098 104811 107456 108192 108624 110887 114352 114464 119784 126604 126728 130688 136896 139748 140898 141036 144256 144832 145824 149066 150087 156147 159712 161184 164381 164542 171528 171696 187864 188048 189906 190092 194432 196032 196224 200116 208196 209622 214912 216384 217248 221557 221774 223599 228704 228928 239568 246813 253208 253456 273792 279496 281796 282072 289664 291648 298132 300174 312294 319424 322368 328762 329084 332661 343056 343392 364343 375728 376096 379812 380184 392064 400232 416392 419244 432768 434496 443114 443548 447198 457408 457856 479136 493143 493626 506416 506912 521731 558992 563592 564144 583296 596264 600348 624588 638848 644736 657524 658168 664671 665322 686112 686784 727973 728686 751456 752192 759624 760368 800464 832784 838488 868992 886228 887096 894396 914816 958272 986286 987252 1012832 1013824 1043462 1093029 1117984 1127184 1128288 1150667 1192528 1200696 1249176 1315048 1316336 1329342 1330644 1372224 1373568 1455946 1457372 1502912 1504384 1519248 1520736 1550899 1565193 1600928 1665568 1676976 1714259 1772456 1774192 1788792 1916544 1972572 1974504 2025664 2027648 2086924 2183919 2186058 2235968 2254368 2256576 2301334 2310523 2385056 2401392 2498352 2550401 2630096 2632672 2658684 2661288 2744448 2911892 2914744 3005824 3038496 3041472 3101798 3130386 3201856 3331136 3353952 3428518 3452001 3544912 3548384 3577584 3652117 3945144 3949008 4051328 4173848 4367838 4372116 4471936 4508736 4513152 4602668 4621046 4652697 4770112 4802784 4996704 5095811 5100802 5142777 5260192 5265344 5317368 5322576 5823784 5829488 6076992 6082944 6203596 6260772 6403712 6662272 6707904 6857036 6904002 6931569 7089824 7096768 7155168 7304234 7651203 7890288 7898016 8347696 8735676 8744232 9017472 9205336 9242092 9305394 9540224 9605568 9993408 10191622 10201604 10285554 10520384 10530688 10634736 10645152 10956351 11647568 11658976 11999813 12153984 12407192 12521544 13415808 13714072 13808004 13863138 14179648 14193536 14310336 14608468 15287433 15302406 15780576 15796032 16173661 16695392 17471352 17488464 18410672 18484184 18610788 19211136 19986816 20383244 20403208 20571108 21040768 21269472 21290304 21912702 23295136 23317952 23999626 24814384 25043088 27428144 27616008 27726276 28359296 28620672 29216936 30574866 30604812 31561152 31592064 32347322 33390784 34942704 34976928 35670677 35999439 36821344 36968368 37221576 40766488 40806416 41142216 42538944 42580608 43825404 46590272 46635904 47999252 48520983 49628768 50086176 53142029 54856288 55232016 55452552 58433872 61149732 61209624 63122304 64694644 66781568 69885408 69953856 71341354 71998878 73642688 73936736 74443152 81532976 81612832 82284432 83998691 85077888 87650808 93180544 95998504 97041966 99257536 100172352 106284058 107012031 109712576 110464032 110905104 113215627 116867744 122299464 122419248 129389288 139770816 139907712 142682708 143997756 147285376 147873472 148886304 159426087 163065952 163225664 164568864 167997382 175301616 191997008 194083932 198515072 200344704 212568116 214024062 219425152 220928064 221810208 226431254 233735488 244598928 244838496 251996073 258778576 279541632 285365416 287995512 295746944 297772608 318852174 326131904 326451328 329137728 335994764 339646881 350603232 371994203 383994016 388167864 425136232 428048124 441856128 443620416 452862508 467470976 489197856 489676992 503992146 517557152 570730832 575991024 595545216 637704348 652263808 658275456 671989528 679293762 701206464 743988406 767988032 776335728 850272464 856096248 887240832 905725016 978395712 979353984 1007984292 1035114304 1115982609 1141461664 1151982048 1275408696 1343979056 1358587524 1402412928 1487976812 1535976064 1552671456 1700544928 1712192496 1811450032 1956791424 2015968584 2070228608 2231965218 2282923328 2303964096 2550817392 2603959421 2687958112 2717175048 2975953624 3105342912 3401089856 3424384992 3622900064 4031937168 4463930436 4565846656 4607928192 5101634784 5207918842 5375916224 5434350096 5951907248 6210685824 6802179712 6848769984 7245800128 7811878263 8063874336 8927860872 10203269568 10415837684 10751832448 10868700192 11903814496 13697539968 14491600256 15623756526 16127748672 17855721744 20406539136 20831675368 21737400384 23807628992 31247513052 32255497344 35711443488 41663350736 43474800768 47615257984 62495026104 71422886976 83326701472 124990052208 142845773952 166653402944 249980104416 333306805888 499960208832 999920417664
• Sum of all divisors σ(n): 3376905154560
• Sum of proper divisors (its aliquot sum) s(n): 2376984736896
• 999920417664 is an abundant number, because the sum of its proper divisors (2376984736896) is greater than itself. Its abundance is 1377064319232

Bases of 999920417664

• Binary: 1110100011001111111001101011101110000000₂
• Hexadecimal: 0xE8CFE6BB80
• Base-36: CRCUSS5C

Squares and roots of 999920417664

• 999920417664 squared (999920417664²) is 999840841661348203216896
• 999920417664 cubed (999920417664³) is 999761271991540587005974596701650944
• The square root of 999920417664 is 999960.2080402999
• The cube root of 999920417664 is 9999.7347185095

Scales and comparisons

• 999,920,417,664 seconds is equal to 31,794 years, 19 weeks, 3 days, 23 hours, 34 minutes, 24 seconds.
• To count from 1 to 999,920,417,664 would take you about sixty-three thousand, five hundred eighty-eight 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 999920417664 cubic inches would be around 833.3 feet tall.

Recreational maths with 999920417664

• 999920417664 backwards is 466714029999
• The number of decimal digits it has is: 12
• The sum of 999920417664's digits is 66
• More coming soon!