442144557120

Names of 442144557120

• Cardinal: 442144557120 can be written as Four hundred forty-two billion, one hundred forty-four million, five hundred fifty-seven thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.4214455712 × 10¹¹

Factors of 442144557120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4668

Divisors of 442144557120

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 192 204 210 224 238 240 255 272 280 320 336 340 357 408 420 448 476 480 510 544 560 595 672 680 714 816 840 952 960 1020 1088 1093 1120 1190 1344 1360 1428 1632 1680 1785 1904 2040 2186 2240 2380 2720 2856 3264 3279 3360 3541 3570 3808 4080 4372 4760 5440 5465 5712 6558 6720 7082 7140 7616 7651 8160 8744 9520 10623 10930 11424 13116 14164 14280 15302 16320 16395 17488 17705 18581 19040 21246 21860 22848 22953 24787 26232 28328 28560 30604 32790 34976 35410 37162 38080 38255 42492 43720 45906 49574 52464 53115 55743 56656 57120 60197 61208 65580 69952 70820 74324 74361 76510 84984 87440 91812 92905 99148 104928 106230 111486 113312 114240 114765 120394 122416 123935 130067 131160 141640 148648 148722 153020 169968 174880 180591 183624 185810 198296 209856 212460 222972 226624 229530 240788 244832 247870 260134 262320 278715 283280 297296 297444 300985 306040 339936 349760 361182 367248 371620 371805 390201 396592 421379 424920 445944 459060 481576 489664 495740 520268 524640 557430 566560 594592 594888 601970 612080 650335 679872 722364 734496 743240 743610 780402 793184 842758 849840 891888 902955 918120 963152 991480 1040536 1049280 1114860 1133120 1189184 1189776 1203940 1224160 1264137 1300670 1444728 1468992 1486480 1487220 1560804 1586368 1685516 1699680 1783776 1805910 1836240 1926304 1951005 1982960 2081072 2106895 2229720 2379552 2407880 2448320 2528274 2601340 2889456 2972960 2974440 3121608 3371032 3399360 3567552 3611820 3672480 3852608 3870313 3902010 3965920 4162144 4213790 4459440 4759104 4815760 5056548 5202680 5778912 5945920 5948880 6243216 6320685 6742064 7223640 7344960 7740626 7804020 7931840 8324288 8427580 8918880 9631520 10113096 10405360 11557824 11610939 11897760 12486432 12641370 13484128 14447280 15481252 15608040 16855160 17837760 19263040 19351565 20226192 20810720 23221878 23795520 24972864 25282740 26968256 27092191 28894560 30962504 31216080 33710320 38703130 40452384 41621440 46443756 50565480 54184382 57789120 58054695 61925008 62432160 65795321 67420640 77406260 80904768 81276573 92887512 101130960 108368764 116109390 123850016 124864320 131590642 134841280 135460955 154812520 162553146 185775024 197385963 202261920 216737528 232218780 247700032 263181284 270921910 309625040 325106292 328976605 371550048 394771926 404523840 406382865 433475056 460567247 464437560 526362568 541843820 619250080 650212584 657953210 743100096 789543852 812765730 866950112 921134494 928875120 986929815 1052725136 1083687640 1238500160 1300425168 1315906420 1381701741 1579087704 1625531460 1733900224 1842268988 1857750240 1973859630 2105450272 2167375280 2302836235 2600850336 2631812840 2763403482 3158175408 3251062920 3684537976 3715500480 3947719260 4210900544 4334750560 4605672470 5201700672 5263625680 5526806964 6316350816 6502125840 6908508705 7369075952 7895438520 8669501120 9211344940 10527251360 11053613928 12632701632 13004251680 13817017410 14738151904 15790877040 18422689880 21054502720 22107227856 26008503360 27634034820 29476303808 31581754080 36845379760 44214455712 55268069640 63163508160 73690759520 88428911424 110536139280 147381519040 221072278560 442144557120
• Sum of all divisors σ(n): 1700761176576
• Sum of proper divisors (its aliquot sum) s(n): 1258616619456
• 442144557120 is an abundant number, because the sum of its proper divisors (1258616619456) is greater than itself. Its abundance is 816472062336

Bases of 442144557120

• Binary: 110011011110001110111101000100001000000₂
• Hexadecimal: 0x66F1DE8840
• Base-36: 5N49GBPC

Squares and roots of 442144557120

• 442144557120 squared (442144557120²) is 195491809390840942694400
• 442144557120 cubed (442144557120³) is 86435639483700825591978787504128000
• The square root of 442144557120 is 664939.5138807739
• The cube root of 442144557120 is 7618.2419432595

Scales and comparisons

• 442,144,557,120 seconds is equal to 14,058 years, 43 weeks, 20 hours, 32 minutes.
• To count from 1 to 442,144,557,120 would take you about twenty-eight thousand, one hundred seventeen 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 442144557120 cubic inches would be around 634.9 feet tall.

Recreational maths with 442144557120

• 442144557120 backwards is 021755441244
• The number of decimal digits it has is: 12
• The sum of 442144557120's digits is 39
• More coming soon!