137664835584

Names of 137664835584

• Cardinal: 137664835584 can be written as One hundred thirty-seven billion, six hundred sixty-four million, eight hundred thirty-five thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 1.37664835584 × 10¹¹

Factors of 137664835584

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 321

Divisors of 137664835584

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 29 32 37 48 53 58 64 74 87 96 106 111 116 128 148 159 174 192 197 212 222 232 256 296 318 348 384 394 424 444 464 512 591 592 636 696 768 788 848 888 928 1024 1073 1182 1184 1272 1392 1536 1537 1576 1696 1776 1856 1961 2048 2146 2364 2368 2544 2784 3072 3074 3152 3219 3392 3552 3712 3922 4096 4292 4611 4728 4736 5088 5568 5713 5883 6144 6148 6304 6438 6784 7104 7289 7424 7844 8584 9222 9456 9472 10176 10441 11136 11426 11766 12288 12296 12608 12876 13568 14208 14578 14848 15688 17139 17168 18444 18912 18944 20352 20882 21867 22272 22852 23532 24592 25216 25752 27136 28416 29156 29696 31323 31376 34278 34336 36888 37824 37888 40704 41764 43734 44544 45704 47064 49184 50432 51504 54272 56832 56869 58312 59392 62646 62752 68556 68672 73776 75648 75776 81408 83528 87468 89088 91408 94128 98368 100864 103008 108544 113664 113738 116624 118784 125292 125504 137112 137344 147552 151296 151552 162816 167056 170607 174936 178176 182816 188256 196736 201728 206016 211381 217088 227328 227476 233248 250584 251008 274224 274688 295104 302592 302789 325632 334112 341214 349872 356352 365632 376512 386317 393472 403456 412032 422762 454656 454952 466496 501168 502016 548448 549376 590208 605184 605578 634143 651264 668224 682428 699744 731264 753024 772634 786944 806912 824064 845524 908367 909904 932992 1002336 1004032 1096896 1098752 1158951 1180416 1210368 1211156 1268286 1336448 1364856 1399488 1462528 1506048 1545268 1573888 1648128 1691048 1816734 1819808 1865984 2004672 2008064 2193792 2197504 2317902 2360832 2420736 2422312 2536572 2672896 2729712 2798976 2925056 3012096 3090536 3147776 3296256 3382096 3633468 3639616 3731968 4009344 4016128 4387584 4395008 4635804 4721664 4844624 5073144 5345792 5459424 5597952 5850112 6024192 6181072 6295552 6592512 6764192 7266936 7279232 7463936 8018688 8032256 8775168 9271608 9443328 9689248 10146288 10691584 10918848 11195904 11203193 11700224 12048384 12362144 13185024 13528384 14533872 14558464 14927872 16037376 17550336 18543216 18886656 19378496 20292576 21383168 21837696 22391808 22406386 23400448 24096768 24724288 27056768 29067744 29116928 29855744 32074752 33609579 35100672 37086432 38756992 40585152 42766336 43675392 44783616 44812772 49448576 54113536 58135488 58233856 64149504 67219158 70201344 74172864 77513984 81170304 87350784 89567232 89625544 98897152 108227072 116270976 116467712 128299008 134438316 148345728 155027968 162340608 174701568 179251088 197794304 216454144 232541952 232935424 268876632 296691456 310055936 324681216 349403136 358502176 395588608 432908288 465083904 537753264 593382912 620111872 649362432 698806272 717004352 791177216 865816576 930167808 1075506528 1186765824 1240223744 1298724864 1434008704 1582354432 1860335616 2151013056 2373531648 2597449728 2868017408 3720671232 4302026112 4747063296 5736034816 8604052224 11472069632 17208104448 22944139264 34416208896 45888278528 68832417792 137664835584
• Sum of all divisors σ(n): 399356464320
• Sum of proper divisors (its aliquot sum) s(n): 261691628736
• 137664835584 is an abundant number, because the sum of its proper divisors (261691628736) is greater than itself. Its abundance is 124026793152

Bases of 137664835584

• Binary: 10000000001101011101101011000000000000₂
• Hexadecimal: 0x200D76B000
• Base-36: 1R8Q36YO

Squares and roots of 137664835584

• 137664835584 squared (137664835584²) is 18951606956369752621056
• 137664835584 cubed (137664835584³) is 2608969855701232656088427296456704
• The square root of 137664835584 is 371032.1220379713
• The cube root of 137664835584 is 5163.4622566291

Scales and comparisons

• 137,664,835,584 seconds is equal to 4,377 years, 16 weeks, 3 days, 6 minutes, 24 seconds.
• To count from 1 to 137,664,835,584 would take you about eight thousand, seven hundred fifty-four 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 137664835584 cubic inches would be around 430.3 feet tall.

Recreational maths with 137664835584

• 137664835584 backwards is 485538466731
• The number of decimal digits it has is: 12
• The sum of 137664835584's digits is 60
• More coming soon!