137416355491025408

Names of 137416355491025408

• Cardinal: 137416355491025408 can be written as One hundred thirty-seven quadrillion, four hundred sixteen trillion, three hundred fifty-five billion, four hundred ninety-one million, twenty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.37416355491025408 × 10¹⁷

Factors of 137416355491025408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4349

Divisors of 137416355491025408

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 631 784 896 1262 1568 1792 2524 3136 3584 3709 4417 5048 6272 7418 8834 10096 12544 14836 17668 20192 25088 25963 29672 30919 35336 40384 51926 59344 61838 70672 80768 103852 118688 123676 141344 161536 181741 207704 237376 247352 282688 323072 363482 398161 415408 474752 494704 565376 726964 796322 830816 949504 989408 1130752 1453928 1592644 1661632 1899008 1978816 2261504 2340379 2787127 2907856 3185288 3323264 3957632 4680758 5574254 5815712 6370576 6646528 7915264 9361516 11148508 11631424 12741152 13293056 13756681 15830528 16382653 18723032 19509889 22297016 23262848 25482304 27513362 32765306 37446064 39019778 44594032 46525696 50964608 55026724 65530612 74892128 78039556 89188064 93051392 96296767 101929216 110053448 114678571 131061224 149784256 156079112 178376128 192593534 203858432 220106896 229357142 262122448 299568512 312158224 356752256 385187068 440213792 458714284 524244896 599137024 624316448 674077369 713504512 770374136 880427584 917428568 1048489792 1198274048 1248632896 1348154738 1427009024 1476779149 1540748272 1760855168 1834857136 2096979584 2497265792 2696309476 2953558298 3081496544 3521710336 3669714272 4193959168 4994531584 5392618952 5907116596 6162993088 7043420672 7339428544 8387918336 8680465711 9989063168 10337454043 10785237904 11814233192 12325986176 14678857088 17360931422 20674908086 21570475808 23628466384 24651972352 29357714176 34721862844 41349816172 43140951616 47256932768 49303944704 58715428352 60763259977 69443725688 72362178301 82699632344 86281903232 94513865536 121526519954 138887451376 144724356602 165399264688 172563806464 189027731072 243053039908 277774902752 289448713204 330798529376 345127612928 378055462144 425342819839 486106079816 555549805504 578897426408 661597058752 756110924288 850685639678 972212159632 1111099611008 1157794852816 1323194117504 1701371279356 1944424319264 2222199222016 2315589705632 2646388235008 3402742558712 3888848638528 4444398444032 4631179411264 5292776470016 5477373863641 6805485117424 7777697277056 9262358822528 10954747727282 13610970234848 15555394554112 18524717645056 21909495454564 27221940469696 31110789108224 37049435290112 38341617045487 43818990909128 54443880939392 76683234090974 87637981818256 108887761878784 153366468181948 175275963636512 217775523757568 268391319318409 306732936363896 350551927273024 536782638636818 613465872727792 701103854546048 1073565277273636 1226931745455584 1402207709092096 2147130554547272 2453863490911168 2804415418184192 4294261109094544 4907726981822336 8588522218189088 9815453963644672 17177044436378176 19630907927289344 34354088872756352 68708177745512704 137416355491025408
• Sum of all divisors σ(n): 319984388573761593
• Sum of proper divisors (its aliquot sum) s(n): 182568033082736185
• 137416355491025408 is an abundant number, because the sum of its proper divisors (182568033082736185) is greater than itself. Its abundance is 45151677591710777

Bases of 137416355491025408

• Binary: 111101000001100110111001001111111010111110001001000000000₂
• Hexadecimal: 0x1E833727F5F1200
• Base-36: 11L2167U75KW

Squares and roots of 137416355491025408

• 137416355491025408 squared (137416355491025408²) is 18883254756435868800601631301566464
• 137416355491025408 cubed (137416355491025408³) is 2594868048437987752983761084165055928435964024717312
• The square root of 137416355491025408 is 370697120.9640363635
• The cube root of 137416355491025408 is 516035.3764217805

Scales and comparisons

• 137,416,355,491,025,408 seconds is equal to 4,369,415,047 years, 47 weeks, 5 days, 10 hours, 10 minutes, 8 seconds.
• To count from 1 to 137,416,355,491,025,408 would take you about thirteen billion, one hundred eight million, two hundred forty-five thousand, one hundred forty-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 137416355491025408 cubic inches would be around 43002.9 feet tall.

Recreational maths with 137416355491025408

• 137416355491025408 backwards is 804520194553614731
• The number of decimal digits it has is: 18
• The sum of 137416355491025408's digits is 68
• More coming soon!