40406708971312128

Names of 40406708971312128

• Cardinal: 40406708971312128 can be written as Forty quadrillion, four hundred six trillion, seven hundred eight billion, nine hundred seventy-one million, three hundred twelve thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0406708971312128 × 10¹⁶

Factors of 40406708971312128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 95931

Divisors of 40406708971312128

• Number of divisors d(n): 330
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 256 288 318 324 384 424 432 477 512 576 636 648 768 848 864 954 1024 1152 1272 1296 1431 1536 1696 1728 1908 2304 2544 2592 2862 3072 3392 3456 3816 4293 4608 5088 5184 5724 6784 6912 7632 8586 9216 10176 10368 11448 13568 13824 15264 17172 20352 20736 22896 27136 27648 30528 34344 40704 41472 45792 54272 61056 68688 81408 82944 91584 95873 122112 137376 162816 183168 191746 244224 274752 287619 366336 383492 488448 549504 575238 732672 766984 862857 1099008 1150476 1465344 1533968 1725714 2198016 2300952 2588571 3067936 3451428 4396032 4601904 5081269 5177142 6135872 6902856 7765713 9203808 10162538 10354284 12271744 13805712 15243807 15531426 18407616 20325076 20708568 24543488 27611424 30487614 31062852 36815232 40650152 41417136 45731421 49086976 55222848 60975228 62125704 73630464 81300304 82834272 91462842 98173952 110445696 121950456 124251408 137194263 147260928 162600608 165668544 182925684 220891392 243900912 248502816 274388526 294521856 325201216 331337088 365851368 411582789 441782784 487801824 497005632 548777052 650402432 662674176 731702736 823165578 883565568 975603648 994011264 1097554104 1300804864 1325348352 1463405472 1646331156 1951207296 1988022528 2195108208 2601609728 2650696704 2926810944 3292662312 3902414592 3976045056 4390216416 5203219456 5853621888 6585324624 7804829184 7952090112 8780432832 9191632129 11707243776 13170649248 15609658368 17560865664 18383264258 23414487552 26341298496 27574896387 35121731328 36766528516 46828975104 52682596992 55149792774 70243462656 73533057032 82724689161 105365193984 110299585548 140486925312 147066114064 165449378322 210730387968 220599171096 248174067483 294132228128 330898756644 421460775936 441198342192 487156502837 496348134966 588264456256 661797513288 744522202449 882396684384 974313005674 992696269932 1176528912512 1323595026576 1461469508511 1489044404898 1764793368768 1948626011348 1985392539864 2353057825024 2647190053152 2922939017022 2978088809796 3529586737536 3897252022696 3970785079728 4384408525533 4706115650048 5294380106304 5845878034044 5956177619592 7059173475072 7794504045392 7941570159456 8768817051066 9412231300096 10588760212608 11691756068088 11912355239184 13153225576599 14118346950144 15589008090784 15883140318912 17537634102132 21177520425216 23383512136176 23824710478368 26306451153198 28236693900288 31178016181568 31766280637824 35075268204264 39459676729797 42355040850432 46767024272352 47649420956736 52612902306396 62356032363136 63532561275648 70150536408528 78919353459594 84710081700864 93534048544704 95298841913472 105225804612792 124712064726272 127065122551296 140301072817056 157838706919188 187068097089408 190597683826944 210451609225584 249424129452544 254130245102592 280602145634112 315677413838376 374136194178816 381195367653888 420903218451168 498848258905088 561204291268224 631354827676752 748272388357632 762390735307776 841806436902336 1122408582536448 1262709655353504 1496544776715264 1683612873804672 2244817165072896 2525419310707008 3367225747609344 4489634330145792 5050838621414016 6734451495218688 10101677242828032 13468902990437376 20203354485656064 40406708971312128
• Sum of all divisors σ(n): 122940262829469294
• Sum of proper divisors (its aliquot sum) s(n): 82533553858157166
• 40406708971312128 is an abundant number, because the sum of its proper divisors (82533553858157166) is greater than itself. Its abundance is 42126844886845038

Bases of 40406708971312128

• Binary: 10001111100011011011000000001110110001110001010000000000₂
• Hexadecimal: 0x8F8DB00EC71400
• Base-36: B1UZDUB7K00

Squares and roots of 40406708971312128

• 40406708971312128 squared (40406708971312128²) is 1632702129892316009356497999888384
• 40406708971312128 cubed (40406708971312128³) is 65972119799400264609631156480601947779202025521152
• The square root of 40406708971312128 is 201014200.9195174449
• The cube root of 40406708971312128 is 343150.3871565457

Scales and comparisons

• 40,406,708,971,312,128 seconds is equal to 1,284,808,359 years, 6 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 40,406,708,971,312,128 would take you about three billion, eight hundred fifty-four million, four hundred twenty-five thousand and seventy-seven 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 40406708971312128 cubic inches would be around 28595.9 feet tall.

Recreational maths with 40406708971312128

• 40406708971312128 backwards is 82121317980760404
• The number of decimal digits it has is: 17
• The sum of 40406708971312128's digits is 63
• More coming soon!