137198672796416

Names of 137198672796416

• Cardinal: 137198672796416 can be written as One hundred thirty-seven trillion, one hundred ninety-eight billion, six hundred seventy-two million, seven hundred ninety-six thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.37198672796416 × 10¹⁴

Factors of 137198672796416

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 820

Divisors of 137198672796416

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 127 128 154 176 224 242 254 256 308 352 448 484 508 616 673 704 847 889 896 968 1016 1232 1331 1346 1397 1408 1694 1778 1792 1936 2032 2464 2662 2692 2794 2816 3388 3556 3872 4064 4711 4928 5324 5384 5588 6776 7112 7403 7744 8128 9317 9422 9779 9856 10648 10768 11176 13552 14224 14806 15367 15488 16256 18634 18844 19558 19712 21296 21536 22352 27104 28448 29612 30734 30976 32512 37268 37688 39116 42592 43072 44704 51821 54208 56896 59224 61468 74536 75376 78232 81433 85184 85471 86144 89408 103642 107569 108416 113792 118448 122936 149072 150752 156464 162866 169037 170368 170942 172288 178816 207284 215138 216832 227584 236896 245872 298144 301504 312928 325732 338074 340736 341884 357632 414568 430276 452929 473792 491744 570031 596288 598297 603008 625856 651464 676148 683768 829136 860552 895763 905858 940181 947584 983488 1140062 1183259 1192576 1196594 1206016 1251712 1302928 1352296 1367536 1658272 1721104 1791526 1811716 1880362 1895168 1966976 2280124 2366518 2385152 2393188 2503424 2605856 2704592 2735072 3170503 3316544 3442208 3583052 3623432 3760724 3933952 4560248 4733036 4786376 4982219 5211712 5409184 5470144 6270341 6341006 6581267 6633088 6884416 7166104 7246864 7521448 9120496 9466072 9572752 9964438 10341991 10423424 10818368 10940288 12540682 12682012 13162534 13266176 13768832 14332208 14493728 15042896 18240992 18932144 19145504 19928876 20683982 20846848 21636736 21880576 25081364 25364024 26325068 27537664 28664416 28987456 30085792 34875533 36481984 37864288 38291008 39857752 41367964 43273472 50162728 50728048 52650136 54804409 57328832 57521983 57974912 60171584 69751066 72393937 72963968 75728576 76582016 79715504 82735928 100325456 101456096 105300272 109608818 113761901 114657664 115043966 115949824 120343168 139502132 144787874 145927936 151457152 153164032 159431008 165471856 200650912 202912192 210600544 219217636 227523802 229315328 230087932 240686336 279004264 289575748 302914304 318862016 330943712 383630863 401301824 402653881 405824384 421201088 438435272 455047604 460175864 558008528 579151496 602848499 632741813 637724032 661887424 767261726 796333307 802603648 805307762 811648768 842402176 876870544 910095208 920351728 1116017056 1158302992 1205696998 1265483626 1275448064 1323774848 1534523452 1592666614 1605207296 1610615524 1684804352 1753741088 1820190416 1840703456 2232034112 2316605984 2411393996 2530967252 2647549696 3069046904 3185333228 3221231048 3507482176 3640380832 3681406912 4219939493 4429192691 4464068224 4633211968 4822787992 5061934504 6138093808 6370666456 6442462096 6960159943 7014964352 7280761664 7362813824 8439878986 8858385382 8928136448 9266423936 9645575984 10123869008 12276187616 12741332912 12884924192 13920319886 14029928704 14561523328 14725627648 16879757972 17716770764 18532847872 19291151968 20247738016 24552375232 25482665824 25769848384 27840639772 29123046656 33759515944 35433541528 38582303936 40495476032 48721119601 49104750464 50965331648 51539696768 55681279544 67519031888 70867083056 76561759373 77164607872 80990952064 97442239202 98209500928 101930663296 103079393536 111362559088 135038063776 141734166112 153123518746 154329215744 161981904128 194884478404 203861326592 222725118176 270076127552 283468332224 306247037492 389768956808 445450236352 535932315611 540152255104 566936664448 612494074984 779537913616 890900472704 1071864631222 1080304510208 1133873328896 1224988149968 1559075827232 1781800945408 2143729262444 2449976299936 3118151654464 4287458524888 4899952599872 6236303308928 8574917049776 9799905199744 12472606617856 17149834099552 19599810399488 34299668199104 68599336398208 137198672796416
• Sum of all divisors σ(n): 347486431961088
• Sum of proper divisors (its aliquot sum) s(n): 210287759164672
• 137198672796416 is an abundant number, because the sum of its proper divisors (210287759164672) is greater than itself. Its abundance is 73089086368256

Bases of 137198672796416

• Binary: 11111001100100000001110001001111101101100000000₂
• Hexadecimal: 0x7CC80E27DB00
• Base-36: 1CMS77F20W

Squares and roots of 137198672796416

• 137198672796416 squared (137198672796416²) is 18823475817098019753382445056
• 137198672796416 cubed (137198672796416³) is 2582555899521280520343775469705998993719296
• The square root of 137198672796416 is 11713183.7173509747
• The cube root of 137198672796416 is 51576.2746722723

Scales and comparisons

• 137,198,672,796,416 seconds is equal to 4,362,493 years, 21 weeks, 2 days, 19 hours, 26 minutes, 56 seconds.
• To count from 1 to 137,198,672,796,416 would take you about ten million, nine hundred six thousand, two hundred thirty-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 137198672796416 cubic inches would be around 4298 feet tall.

Recreational maths with 137198672796416

• 137198672796416 backwards is 614697276891731
• 137198672796416 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137198672796416's digits is 77
• More coming soon!