137442343706800

Names of 137442343706800

• Cardinal: 137442343706800 can be written as One hundred thirty-seven trillion, four hundred forty-two billion, three hundred forty-three million, seven hundred six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.374423437068 × 10¹⁴

Factors of 137442343706800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1525

Divisors of 137442343706800

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 73 80 88 100 110 146 176 200 220 275 292 365 400 401 440 550 584 730 802 803 880 1033 1100 1168 1460 1604 1606 1825 2005 2066 2200 2920 3208 3212 3650 4010 4015 4132 4400 4411 5165 5840 6416 6424 7300 8020 8030 8264 8822 10025 10330 11363 12848 14600 16040 16060 16528 17644 20050 20075 20660 22055 22726 25825 29200 29273 32080 32120 35288 40100 40150 41320 44110 45452 51650 56815 58546 64240 70576 75409 80200 80300 82640 88220 90904 103300 110275 113630 117092 146365 150818 160400 160600 176440 181808 206600 220550 227260 234184 284075 292730 301636 321200 322003 352880 377045 413200 414233 441100 454520 468368 568150 585460 603272 644006 731825 754090 828466 829499 882200 909040 1067089 1136300 1170920 1206544 1288012 1463650 1508180 1610015 1656932 1658998 1764400 1885225 2071165 2134178 2272600 2341840 2576024 2927300 3016360 3220030 3313864 3317996 3770450 4142330 4147495 4268356 4545200 4556563 5152048 5335445 5854600 6032720 6440060 6627728 6635992 7540900 8050075 8284660 8294990 8536712 9113126 10355825 10670890 11709200 11737979 12880120 13271984 15081800 16100150 16569320 16589980 17073424 18226252 20711650 20737475 21341780 22782815 23475958 25760240 26677225 30163600 30239009 32200300 33138640 33179960 36452504 41423300 41474950 42683560 45565630 46951916 53354450 58689895 60478018 64400600 66359920 72905008 77897497 82846600 82949900 85367120 91131260 93903832 106708900 113914075 117379790 120956036 128801200 151195045 155794994 165693200 165899800 182262520 187807664 213417800 227828150 234759580 241912072 293449475 302390090 311589988 331799600 332629099 364525040 389487485 426835600 427902689 455656300 469519160 483824144 586898950 604780180 623179976 665258198 755975225 778974970 855805378 856872467 911312600 939038320 1173797900 1209560360 1246359952 1330516396 1511950450 1557949940 1663145495 1711610756 1713744934 1822625200 1947437425 2139513445 2347595800 2419120720 2661032792 3023900900 3115899880 3326290990 3423221512 3427489868 3894874850 4279026890 4284362335 4695191600 4706929579 5322065584 6047801800 6231799760 6652581980 6846443024 6854979736 7789749700 8315727475 8558053780 8568724670 9413859158 10697567225 12095603600 13305163960 13709959472 15579499400 16631454950 17116107560 17137449340 18827718316 21395134450 21421811675 23534647895 26610327920 31158998800 31236896297 33262909900 34232215120 34274898680 37655436632 42790268900 42843623350 47069295790 62473792594 66525819800 68549797360 75310873264 85580537800 85687246700 94138591580 117673239475 124947585188 133051639600 156184481485 171161075600 171374493400 188277183160 235346478950 249895170376 312368962970 342748986800 343605859267 376554366320 470692957900 499790340752 624737925940 687211718534 780922407425 941385915800 1249475851880 1374423437068 1561844814850 1718029296335 1882771831600 2498951703760 2748846874136 3123689629700 3436058592670 5497693748272 6247379259400 6872117185340 8590146481675 12494758518800 13744234370680 17180292963350 27488468741360 34360585926700 68721171853400 137442343706800
• Sum of all divisors σ(n): 366423799282128
• Sum of proper divisors (its aliquot sum) s(n): 228981455575328
• 137442343706800 is an abundant number, because the sum of its proper divisors (228981455575328) is greater than itself. Its abundance is 91539111868528

Bases of 137442343706800

• Binary: 11111010000000011001010000100101110000010110000₂
• Hexadecimal: 0x7D00CA12E0B0
• Base-36: 1CPW52SBSG

Squares and roots of 137442343706800

• 137442343706800 squared (137442343706800²) is 18890397843618145564366240000
• 137442343706800 cubed (137442343706800³) is 2596340553180758719550858620594378432000000
• The square root of 137442343706800 is 11723580.6691812379
• The cube root of 137442343706800 is 51606.7905284715

Scales and comparisons

• 137,442,343,706,800 seconds is equal to 4,370,241 years, 20 weeks, 2 days, 23 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,442,343,706,800 would take you about ten million, nine hundred twenty-five thousand, six hundred three 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 137442343706800 cubic inches would be around 4300.6 feet tall.

Recreational maths with 137442343706800

• 137442343706800 backwards is 008607343244731
• The number of decimal digits it has is: 15
• The sum of 137442343706800's digits is 52
• More coming soon!