138476854968320

Names of 138476854968320

• Cardinal: 138476854968320 can be written as One hundred thirty-eight trillion, four hundred seventy-six billion, eight hundred fifty-four million, nine hundred sixty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3847685496832 × 10¹⁴

Factors of 138476854968320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 59

Divisors of 138476854968320

• Number of divisors d(n): 552
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 121 128 160 164 176 205 220 242 256 320 328 352 410 440 451 484 512 605 640 656 704 820 880 902 968 1024 1210 1280 1312 1331 1408 1640 1760 1804 1936 2048 2255 2420 2560 2624 2662 2816 3280 3520 3608 3872 4096 4510 4840 4961 5120 5248 5324 5632 6560 6655 7040 7216 7744 8192 9020 9680 9922 10240 10496 10648 11264 13120 13310 14080 14432 14641 15488 16384 18040 19360 19844 20480 20992 21296 22528 24805 26240 26620 28160 28864 29282 30976 32768 36080 38720 39688 40960 41984 42592 45056 49610 52480 53240 54571 56320 57728 58564 61952 65536 72160 73205 77440 79376 81920 83968 85184 90112 99220 104960 106480 109142 112640 115456 117128 123904 131072 144320 146410 154880 158752 161051 163840 167936 170368 180224 198440 209920 212960 218284 225280 230912 234256 247808 262144 272855 288640 292820 309760 317504 322102 327680 335872 340736 360448 396880 419840 425920 436568 450560 461824 468512 495616 524288 545710 577280 585640 600281 619520 635008 644204 655360 671744 681472 720896 793760 805255 839680 851840 873136 901120 923648 937024 991232 1048576 1091420 1154560 1171280 1200562 1239040 1270016 1288408 1310720 1343488 1362944 1441792 1587520 1610510 1679360 1703680 1746272 1802240 1847296 1874048 1982464 2097152 2182840 2309120 2342560 2401124 2478080 2540032 2576816 2621440 2686976 2725888 2883584 3001405 3175040 3221020 3358720 3407360 3492544 3604480 3694592 3748096 3964928 4194304 4365680 4618240 4685120 4802248 4956160 5080064 5153632 5242880 5373952 5451776 5767168 6002810 6350080 6442040 6603091 6717440 6814720 6985088 7208960 7389184 7496192 7929856 8731360 9236480 9370240 9604496 9912320 10160128 10307264 10485760 10747904 10903552 11534336 12005620 12700160 12884080 13206182 13434880 13629440 13970176 14417920 14778368 14992384 15859712 17462720 18472960 18740480 19208992 19824640 20320256 20614528 20971520 21495808 21807104 23068672 24011240 25400320 25768160 26412364 26869760 27258880 27940352 28835840 29556736 29984768 31719424 33015455 34925440 36945920 37480960 38417984 39649280 40640512 41229056 42991616 43614208 46137344 48022480 50800640 51536320 52824728 53739520 54517760 55880704 57671680 59113472 59969536 63438848 66030910 69850880 73891840 74961920 76835968 79298560 81281024 82458112 85983232 87228416 96044960 101601280 103072640 105649456 107479040 109035520 111761408 115343360 118226944 119939072 126877696 132061820 139701760 147783680 149923840 153671936 158597120 162562048 164916224 171966464 174456832 192089920 203202560 206145280 211298912 214958080 218071040 223522816 230686720 236453888 239878144 253755392 264123640 279403520 295567360 299847680 307343872 317194240 325124096 329832448 348913664 384179840 406405120 412290560 422597824 429916160 436142080 447045632 472907776 479756288 507510784 528247280 558807040 591134720 599695360 614687744 634388480 650248192 659664896 697827328 768359680 812810240 824581120 845195648 859832320 872284160 894091264 945815552 959512576 1056494560 1117614080 1182269440 1199390720 1229375488 1268776960 1300496384 1319329792 1395654656 1536719360 1625620480 1649162240 1690391296 1744568320 1788182528 1891631104 1919025152 2112989120 2235228160 2364538880 2398781440 2458750976 2537553920 2600992768 2638659584 2791309312 3073438720 3251240960 3298324480 3380782592 3489136640 3576365056 3838050304 4225978240 4470456320 4729077760 4797562880 4917501952 5201985536 5277319168 5582618624 6146877440 6502481920 6596648960 6761565184 6978273280 7152730112 7676100608 8451956480 8940912640 9458155520 9595125760 9835003904 10403971072 10554638336 12293754880 13004963840 13193297920 13523130368 13956546560 14305460224 15352201216 16903912960 17881825280 19190251520 19670007808 20807942144 21109276672 24587509760 26009927680 26386595840 27046260736 27913093120 28610920448 30704402432 33807825920 35763650560 38380503040 39340015616 42218553344 49175019520 52019855360 52773191680 54092521472 57221840896 61408804864 67615651840 71527301120 76761006080 78680031232 84437106688 98350039040 104039710720 105546383360 108185042944 114443681792 135231303680 143054602240 153522012160 157360062464 168874213376 196700078080 211092766720 216370085888 228887363584 270462607360 286109204480 307044024320 314720124928 337748426752 393400156160 422185533440 432740171776 540925214720 572218408960 629440249856 675496853504 786800312320 844371066880 865480343552 1081850429440 1144436817920 1258880499712 1573600624640 1688742133760 1730960687104 2163700858880 2517760999424 3147201249280 3377484267520 3461921374208 4327401717760 6294402498560 6923842748416 8654803435520 12588804997120 13847685496832 17309606871040 27695370993664 34619213742080 69238427484160 138476854968320
• Sum of all divisors σ(n): 374495199546384
• Sum of proper divisors (its aliquot sum) s(n): 236018344578064
• 138476854968320 is an abundant number, because the sum of its proper divisors (236018344578064) is greater than itself. Its abundance is 97541489609744

Bases of 138476854968320

• Binary: 11111011111000110100111110000000000000000000000₂
• Hexadecimal: 0x7DF1A7C00000
• Base-36: 1D33E02XVK

Squares and roots of 138476854968320

• 138476854968320 squared (138476854968320²) is 19175839361917131468203622400
• 138476854968320 cubed (138476854968320³) is 2655409926216000545352835404646861242368000
• The square root of 138476854968320 is 11767618.9166848873
• The cube root of 138476854968320 is 51735.9462992631

Scales and comparisons

• 138,476,854,968,320 seconds is equal to 4,403,135 years, 33 weeks, 5 days, 22 hours, 45 minutes, 20 seconds.
• To count from 1 to 138,476,854,968,320 would take you about eleven million, seven thousand, eight hundred thirty-nine 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 138476854968320 cubic inches would be around 4311.3 feet tall.

Recreational maths with 138476854968320

• 138476854968320 backwards is 023869458674831
• The number of decimal digits it has is: 15
• The sum of 138476854968320's digits is 74
• More coming soon!