137208142400

Names of 137208142400

• Cardinal: 137208142400 can be written as One hundred thirty-seven billion, two hundred eight million, one hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.372081424 × 10¹¹

Factors of 137208142400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5663

Divisors of 137208142400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 131 136 140 160 170 175 200 224 238 262 272 280 320 340 350 400 425 448 476 524 544 560 595 655 680 700 800 850 917 952 1048 1088 1120 1190 1310 1360 1400 1600 1700 1834 1904 2096 2227 2240 2380 2620 2720 2800 2975 3275 3400 3668 3808 4192 4454 4585 4760 5240 5440 5501 5600 5950 6550 6800 7336 7616 8384 8908 9170 9520 10480 11002 11135 11200 11900 13100 13600 14672 15589 17816 18340 19040 20960 22004 22270 22925 23800 26200 27200 27505 29344 31178 35632 36680 38080 38507 41920 44008 44540 45850 47600 52400 55010 55675 58688 62356 71264 73360 77014 77945 88016 89080 91700 93517 95200 104800 110020 111350 124712 137525 142528 146720 154028 155890 176032 178160 183400 187034 190400 192535 209600 220040 222700 249424 275050 293440 308056 311780 352064 356320 366800 374068 385070 389725 440080 445400 467585 498848 550100 616112 623560 654619 712640 720631 733600 748136 770140 779450 880160 890800 935170 962675 997696 1100200 1232224 1247120 1309238 1441262 1467200 1496272 1540280 1558900 1760320 1781600 1870340 1925350 2200400 2337925 2464448 2494240 2618476 2882524 2992544 3080560 3117800 3273095 3563200 3603155 3740680 3850700 4400800 4675850 4988480 5044417 5236952 5765048 5985088 6161120 6235600 6546190 7206310 7481360 7701400 8801600 9351700 10088834 10473904 11530096 12250727 12322240 12471200 13092380 14412620 14962720 15402800 16365475 18015775 18703400 20177668 20947808 23060192 24501454 24942400 25222085 26184760 28825240 29925440 30805600 32730950 36031550 37406800 40355336 41895616 46120384 49002908 50444170 52369520 57650480 61253635 61611200 65461900 72063100 74813600 80710672 85755089 98005816 100888340 104739040 115300960 122507270 126110425 130923800 144126200 149627200 161421344 171510178 196011632 201776680 209478080 230601920 245014540 252220850 261847600 288252400 306268175 322842688 343020356 392023264 403553360 428775445 490029080 504441700 523695200 576504800 612536350 686040712 784046528 807106720 857550890 980058160 1008883400 1047390400 1153009600 1225072700 1372081424 1614213440 1715101780 1960116320 2017766800 2143877225 2450145400 2744162848 3430203560 3920232640 4035533600 4287754450 4900290800 5488325696 6860407120 8071067200 8575508900 9800581600 13720814240 17151017800 19601163200 27441628480 34302035600 68604071200 137208142400
• Sum of all divisors σ(n): 411739396992
• Sum of proper divisors (its aliquot sum) s(n): 274531254592
• 137208142400 is an abundant number, because the sum of its proper divisors (274531254592) is greater than itself. Its abundance is 137323112192

Bases of 137208142400

• Binary: 1111111110010001111100001101001000000₂
• Hexadecimal: 0x1FF23E1A40
• Base-36: 1R166O8W

Squares and roots of 137208142400

• 137208142400 squared (137208142400²) is 18826074340858677760000
• 137208142400 cubed (137208142400³) is 2583090688993523596369793024000000
• The square root of 137208142400 is 370416.1745928489
• The cube root of 137208142400 is 5157.7461262077

Scales and comparisons

• 137,208,142,400 seconds is equal to 4,362 years, 41 weeks, 2 days, 4 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,208,142,400 would take you about eight thousand, seven hundred twenty-five 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 137208142400 cubic inches would be around 429.8 feet tall.

Recreational maths with 137208142400

• 137208142400 backwards is 004241802731
• 137208142400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137208142400's digits is 32
• More coming soon!