137437101312

Names of 137437101312

• Cardinal: 137437101312 can be written as One hundred thirty-seven billion, four hundred thirty-seven million, one hundred one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37437101312 × 10¹¹

Factors of 137437101312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3133

Divisors of 137437101312

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 32 38 42 46 48 56 57 64 69 76 84 92 96 112 114 128 133 138 152 161 168 184 192 224 228 256 266 276 304 322 336 361 368 384 399 437 448 456 483 532 552 608 644 672 722 736 768 798 874 896 912 966 1064 1083 1104 1216 1288 1311 1344 1444 1472 1596 1748 1792 1824 1932 2128 2166 2208 2432 2527 2576 2622 2688 2888 2944 3059 3079 3192 3496 3648 3864 4256 4332 4416 4864 5054 5152 5244 5376 5776 5888 6118 6158 6384 6992 7296 7581 7728 8303 8512 8664 8832 9177 9237 10108 10304 10488 11552 12236 12316 12768 13984 14592 15162 15456 16606 17024 17328 17664 18354 18474 20216 20608 20976 21553 23104 24472 24632 24909 25536 27968 30324 30912 33212 34048 34656 36708 36948 40432 41216 41952 43106 46208 48944 49264 49818 51072 55936 58121 58501 60648 61824 64659 66424 69312 70817 73416 73896 80864 83904 86212 92416 97888 98528 99636 102144 111872 116242 117002 121296 123648 129318 132848 138624 141634 146832 147792 161728 167808 172424 174363 175503 195776 197056 199272 212451 232484 234004 242592 258636 265696 277248 283268 293664 295584 323456 335616 344848 348726 351006 391552 394112 398544 409507 424902 464968 468008 485184 495719 517272 531392 566536 587328 591168 646912 689696 697452 702012 783104 788224 797088 819014 849804 929936 936016 970368 991438 1034544 1062784 1111519 1133072 1174656 1182336 1228521 1345523 1379392 1394904 1404024 1487157 1594176 1638028 1699608 1859872 1872032 1940736 1982876 2069088 2125568 2223038 2266144 2349312 2364672 2457042 2691046 2758784 2789808 2808048 2974314 3188352 3276056 3334557 3399216 3719744 3744064 3965752 4036569 4138176 4446076 4532288 4914084 5382092 5517568 5579616 5616096 5948628 6376704 6552112 6669114 6798432 7439488 7488128 7780633 7931504 8073138 8276352 8892152 9064576 9418661 9828168 10764184 11159232 11232192 11897256 13104224 13338228 13596864 14878976 14976256 15561266 15863008 16146276 16552704 17784304 18129152 18837322 19656336 21528368 22318464 22464384 23341899 23794512 25564937 26208448 26676456 27193728 28255983 31122532 31726016 32292552 35568608 37674644 39312672 43056736 44636928 44928768 46683798 47589024 51129874 52416896 53352912 54387456 56511966 62245064 63452032 64585104 71137216 75349288 76694811 78625344 86113472 93367596 95178048 102259748 104833792 106705824 113023932 124490128 126904064 129170208 142274432 150698576 153389622 157250688 172226944 178954559 186735192 190356096 204519496 213411648 226047864 248980256 258340416 284548864 301397152 306779244 314501376 344453888 357909118 373470384 380712192 409038992 426823296 452095728 497960512 516680832 536863677 602794304 613558488 715818236 746940768 818077984 853646592 904191456 995921024 1033361664 1073727354 1205588608 1227116976 1431636472 1493881536 1636155968 1808382912 1991842048 2147454708 2411177216 2454233952 2863272944 2987763072 3272311936 3616765824 4294909416 4908467904 5726545888 5975526144 6544623872 7233531648 8589818832 9816935808 11453091776 17179637664 19633871616 22906183552 34359275328 45812367104 68718550656 137437101312
• Sum of all divisors σ(n): 460529879040
• Sum of proper divisors (its aliquot sum) s(n): 323092777728
• 137437101312 is an abundant number, because the sum of its proper divisors (323092777728) is greater than itself. Its abundance is 185655676416

Bases of 137437101312

• Binary: 1111111111111111000111011110100000000₂
• Hexadecimal: 0x1FFFE3BD00
• Base-36: 1R4YI22O

Squares and roots of 137437101312

• 137437101312 squared (137437101312²) is 18888956817044952121344
• 137437101312 cubed (137437101312³) is 2596043471742200133159344645603328
• The square root of 137437101312 is 370725.1020796947
• The cube root of 137437101312 is 5160.6134382769

Scales and comparisons

• 137,437,101,312 seconds is equal to 4,370 years, 3 weeks, 6 days, 4 hours, 35 minutes, 12 seconds.
• To count from 1 to 137,437,101,312 would take you about eight thousand, seven hundred forty 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 137437101312 cubic inches would be around 430.1 feet tall.

Recreational maths with 137437101312

• 137437101312 backwards is 213101734731
• The number of decimal digits it has is: 12
• The sum of 137437101312's digits is 33
• More coming soon!