2198679658168320

Names of 2198679658168320

• Cardinal: 2198679658168320 can be written as Two quadrillion, one hundred ninety-eight trillion, six hundred seventy-nine billion, six hundred fifty-eight million, one hundred sixty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 2.19867965816832 × 10¹⁵

Factors of 2198679658168320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 42
• Sum of prime factors: 89

Divisors of 2198679658168320

• Number of divisors d(n): 740
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 79 80 81 90 96 108 120 128 135 144 158 160 162 180 192 216 237 240 256 270 288 316 320 324 360 384 395 405 432 474 480 512 540 576 632 640 648 711 720 768 790 810 864 948 960 1024 1080 1152 1185 1264 1280 1296 1422 1440 1536 1580 1620 1728 1896 1920 2048 2133 2160 2304 2370 2528 2560 2592 2844 2880 3072 3160 3240 3456 3555 3792 3840 4096 4266 4320 4608 4740 5056 5120 5184 5688 5760 6144 6320 6399 6480 6912 7110 7584 7680 8192 8532 8640 9216 9480 10112 10240 10368 10665 11376 11520 12288 12640 12798 12960 13824 14220 15168 15360 16384 17064 17280 18432 18960 20224 20480 20736 21330 22752 23040 24576 25280 25596 25920 27648 28440 30336 30720 31995 32768 34128 34560 36864 37920 40448 40960 41472 42660 45504 46080 49152 50560 51192 51840 55296 56880 60672 61440 63990 65536 68256 69120 73728 75840 80896 81920 82944 85320 91008 92160 98304 101120 102384 103680 110592 113760 121344 122880 127980 131072 136512 138240 147456 151680 161792 163840 165888 170640 182016 184320 196608 202240 204768 207360 221184 227520 242688 245760 255960 262144 273024 276480 294912 303360 323584 327680 331776 341280 364032 368640 393216 404480 409536 414720 442368 455040 485376 491520 511920 524288 546048 552960 589824 606720 647168 655360 663552 682560 728064 737280 786432 808960 819072 829440 884736 910080 970752 983040 1023840 1048576 1092096 1105920 1179648 1213440 1294336 1310720 1327104 1365120 1456128 1474560 1572864 1617920 1638144 1658880 1769472 1820160 1941504 1966080 2047680 2097152 2184192 2211840 2359296 2426880 2588672 2621440 2654208 2730240 2912256 2949120 3145728 3235840 3276288 3317760 3538944 3640320 3883008 3932160 4095360 4194304 4368384 4423680 4718592 4853760 5177344 5242880 5308416 5460480 5824512 5898240 6291456 6471680 6552576 6635520 7077888 7280640 7766016 7864320 8190720 8388608 8736768 8847360 9437184 9707520 10354688 10485760 10616832 10920960 11649024 11796480 12582912 12943360 13105152 13271040 14155776 14561280 15532032 15728640 16381440 16777216 17473536 17694720 18874368 19415040 20709376 20971520 21233664 21841920 23298048 23592960 25165824 25886720 26210304 26542080 28311552 29122560 31064064 31457280 32762880 33554432 34947072 35389440 37748736 38830080 41418752 41943040 42467328 43683840 46596096 47185920 50331648 51773440 52420608 53084160 56623104 58245120 62128128 62914560 65525760 67108864 69894144 70778880 75497472 77660160 82837504 83886080 84934656 87367680 93192192 94371840 100663296 103546880 104841216 106168320 113246208 116490240 124256256 125829120 131051520 134217728 139788288 141557760 150994944 155320320 165675008 167772160 169869312 174735360 186384384 188743680 201326592 207093760 209682432 212336640 226492416 232980480 248512512 251658240 262103040 268435456 279576576 283115520 301989888 310640640 331350016 335544320 339738624 349470720 372768768 377487360 402653184 414187520 419364864 424673280 452984832 465960960 497025024 503316480 524206080 536870912 559153152 566231040 603979776 621281280 662700032 671088640 679477248 698941440 745537536 754974720 805306368 828375040 838729728 849346560 905969664 931921920 994050048 1006632960 1048412160 1073741824 1118306304 1132462080 1207959552 1242562560 1325400064 1342177280 1358954496 1397882880 1491075072 1509949440 1610612736 1656750080 1677459456 1698693120 1811939328 1863843840 1988100096 2013265920 2096824320 2147483648 2236612608 2264924160 2415919104 2485125120 2650800128 2684354560 2717908992 2795765760 2982150144 3019898880 3221225472 3313500160 3354918912 3397386240 3623878656 3727687680 3976200192 4026531840 4193648640 4294967296 4473225216 4529848320 4831838208 4970250240 5301600256 5368709120 5435817984 5591531520 5964300288 6039797760 6442450944 6627000320 6709837824 6794772480 7247757312 7455375360 7952400384 8053063680 8387297280 8589934592 8946450432 9059696640 9663676416 9940500480 10603200512 10737418240 10871635968 11183063040 11928600576 12079595520 12884901888 13254000640 13419675648 13589544960 14495514624 14910750720 15904800768 16106127360 16774594560 17179869184 17892900864 18119393280 19327352832 19881000960 21206401024 21474836480 21743271936 22366126080 23857201152 24159191040 25769803776 26508001280 26839351296 27179089920 28991029248 29821501440 31809601536 32212254720 33549189120 34359738368 35785801728 36238786560 38654705664 39762001920 42412802048 42949672960 43486543872 44732252160 47714402304 48318382080 51539607552 53016002560 53678702592 54358179840 57982058496 59643002880 63619203072 64424509440 67098378240 68719476736 71571603456 72477573120 77309411328 79524003840 84825604096 85899345920 86973087744 89464504320 95428804608 96636764160 103079215104 106032005120 107357405184 108716359680 115964116992 119286005760 127238406144 128849018880 134196756480 143143206912 144955146240 154618822656 159048007680 169651208192 171798691840 173946175488 178929008640 190857609216 193273528320 206158430208 212064010240 214714810368 217432719360 231928233984 238572011520 254476812288 257698037760 268393512960 286286413824 289910292480 309237645312 318096015360 339302416384 343597383680 347892350976 357858017280 381715218432 386547056640 424128020480 429429620736 434865438720 463856467968 477144023040 508953624576 515396075520 536787025920 572572827648 579820584960 618475290624 636192030720 678604832768 695784701952 715716034560 763430436864 773094113280 848256040960 858859241472 869730877440 927712935936 954288046080 1017907249152 1030792151040 1073574051840 1145145655296 1159641169920 1272384061440 1357209665536 1391569403904 1431432069120 1526860873728 1546188226560 1696512081920 1717718482944 1739461754880 1855425871872 1908576092160 2035814498304 2147148103680 2290291310592 2319282339840 2544768122880 2714419331072 2783138807808 2862864138240 3053721747456 3092376453120 3393024163840 3435436965888 3478923509760 3817152184320 4071628996608 4294296207360 4580582621184 4638564679680 5089536245760 5428838662144 5566277615616 5725728276480 6107443494912 6786048327680 6870873931776 6957847019520 7634304368640 8143257993216 8588592414720 9161165242368 9277129359360 10179072491520 11451456552960 12214886989824 13572096655360 13741747863552 13915694039040 15268608737280 16286515986432 17177184829440 18322330484736 20358144983040 22902913105920 24429773979648 27144193310720 27483495727104 27831388078080 30537217474560 34354369658880 36644660969472 40716289966080 45805826211840 48859547959296 54966991454208 61074434949120 68708739317760 73289321938944 81432579932160 91611652423680 109933982908416 122148869898240 137417478635520 146578643877888 183223304847360 219867965816832 244297739796480 274834957271040 366446609694720 439735931633664 549669914542080 732893219389440 1099339829084160 2198679658168320
• Sum of all divisors σ(n): 7982454417595680
• Sum of proper divisors (its aliquot sum) s(n): 5783774759427360
• 2198679658168320 is an abundant number, because the sum of its proper divisors (5783774759427360) is greater than itself. Its abundance is 3585095101259040

Bases of 2198679658168320

• Binary: 111110011111011000000000000000000000000000000000000₂
• Hexadecimal: 0x7CFB000000000
• Base-36: LND7HO8W00

Squares and roots of 2198679658168320

• 2198679658168320 squared (2198679658168320²) is 4834192239243160484097451622400
• 2198679658168320 cubed (2198679658168320³) is 10628840140099097509723908144493260196282368000
• The square root of 2198679658168320 is 46890080.5946025219
• The cube root of 2198679658168320 is 130033.1209132935

Scales and comparisons

• 2,198,679,658,168,320 seconds is equal to 69,911,212 years, 8 weeks, 4 days, 19 hours, 12 minutes.
• To count from 1 to 2,198,679,658,168,320 would take you about two hundred nine million, seven hundred thirty-three thousand, six hundred thirty-six 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 2198679658168320 cubic inches would be around 10836.1 feet tall.

Recreational maths with 2198679658168320

• 2198679658168320 backwards is 0238618569768912
• 2198679658168320 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 2198679658168320's digits is 81
• More coming soon!