137153789112960

Names of 137153789112960

• Cardinal: 137153789112960 can be written as One hundred thirty-seven trillion, one hundred fifty-three billion, seven hundred eighty-nine million, one hundred twelve thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.3715378911296 × 10¹⁴

Factors of 137153789112960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 808

Divisors of 137153789112960

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 64 72 80 90 96 118 120 128 144 160 177 180 192 236 240 288 295 320 354 360 384 472 480 531 576 590 640 708 720 739 885 944 960 1062 1152 1180 1416 1440 1478 1770 1888 1920 2124 2217 2360 2655 2832 2880 2956 3540 3695 3776 4248 4434 4720 5310 5664 5760 5912 6651 7080 7390 7552 8496 8868 9440 10620 11085 11328 11824 13302 14160 14780 16992 17736 18880 21240 22170 22656 23648 26604 28320 29560 33255 33984 35472 37760 42480 43601 44340 47296 53208 56640 59120 66510 67968 70944 84960 87202 88680 94592 106416 113280 118240 130803 133020 141888 169920 174404 177360 212832 218005 236480 261606 266040 283776 339840 348808 354720 392409 425664 436010 472960 523212 532080 546121 654015 697616 709440 784818 851328 872020 1046424 1064160 1092242 1308030 1395232 1418880 1569636 1638363 1744040 1962045 2092848 2128320 2184484 2616060 2730605 2790464 3139272 3276726 3488080 3924090 4185696 4256640 4368968 4915089 5232120 5461210 5580928 6278544 6553452 6976160 7848180 8191815 8371392 8737936 9830178 10464240 10922420 12557088 13106904 13952320 15696360 16383630 16742784 17475872 19660356 20928480 21844840 24575445 25114176 26213808 27904640 31392720 32221139 32767260 34951744 39320712 41856960 43689680 49150890 50228352 52427616 62785440 64442278 65534520 69903488 78641424 83713920 87379360 96663417 98301780 104855232 125570880 128884556 131069040 157282848 161105695 174758720 193326834 196603560 209710464 251141760 257769112 262138080 289990251 314565696 322211390 349517440 386653668 393207120 403583419 483317085 515538224 524276160 579980502 629131392 644422780 773307336 786414240 807166838 966634170 1031076448 1048552320 1159961004 1210750257 1288845560 1449951255 1546614672 1572828480 1614333676 1933268340 2017917095 2062152896 2319922008 2421500514 2577691120 2899902510 3093229344 3145656960 3228667352 3632250771 3866536680 4035834190 4124305792 4639844016 4843001028 5155382240 5799805020 6053751285 6186458688 6457334704 7264501542 7733073360 8071668380 9279688032 9686002056 10310764480 11599610040 12107502570 12372917376 12914669408 14529003084 15466146720 16143336760 18161253855 18559376064 19372004112 20621528960 23199220080 23811421721 24215005140 25829338816 29058006168 30932293440 32286673520 36322507710 37118752128 38744008224 46398440160 47622843442 48430010280 51658677632 58116012336 61864586880 64573347040 71434265163 72645015420 77488016448 92796880320 95245686884 96860020560 116232024672 119057108605 129146694080 142868530326 145290030840 154976032896 185593760640 190491373768 193720041120 214302795489 232464049344 238114217210 258293388160 285737060652 290580061680 357171325815 380982747536 387440082240 428605590978 464928098688 476228434420 571474121304 581160123360 714342651630 761965495072 774880164480 857211181956 952456868840 1071513977445 1142948242608 1162320246720 1428685303260 1523930990144 1714422363912 1904913737680 2143027954890 2285896485216 2324640493440 2857370606520 3047861980288 3428844727824 3809827475360 4286055909780 4571792970432 5714741213040 6857689455648 7619654950720 8572111819560 9143585940864 11429482426080 13715378911296 15239309901440 17144223639120 22858964852160 27430757822592 34288447278240 45717929704320 68576894556480 137153789112960
• Sum of all divisors σ(n): 482289076152000
• Sum of proper divisors (its aliquot sum) s(n): 345135287039040
• 137153789112960 is an abundant number, because the sum of its proper divisors (345135287039040) is greater than itself. Its abundance is 207981497926080

Bases of 137153789112960

• Binary: 11111001011110110011010111000010011001010000000₂
• Hexadecimal: 0x7CBD9AE13280
• Base-36: 1CM7KWTY80

Squares and roots of 137153789112960

• 137153789112960 squared (137153789112960²) is 18811161868042305023639961600
• 137153789112960 cubed (137153789112960³) is 2580022127819228990900014080724872462336000
• The square root of 137153789112960 is 11711267.6134123073
• The cube root of 137153789112960 is 51570.6497741509

Scales and comparisons

• 137,153,789,112,960 seconds is equal to 4,361,066 years, 12 weeks, 6 days, 17 hours, 36 minutes.
• To count from 1 to 137,153,789,112,960 would take you about ten million, nine hundred two thousand, six hundred sixty-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 137153789112960 cubic inches would be around 4297.6 feet tall.

Recreational maths with 137153789112960

• 137153789112960 backwards is 069211987351731
• The number of decimal digits it has is: 15
• The sum of 137153789112960's digits is 63
• More coming soon!