40148383186944

Names of 40148383186944

• Cardinal: 40148383186944 can be written as Forty trillion, one hundred forty-eight billion, three hundred eighty-three million, one hundred eighty-six thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 4.0148383186944 × 10¹³

Factors of 40148383186944

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 480

Divisors of 40148383186944

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 127 128 136 144 153 192 204 216 254 256 272 288 306 331 381 384 408 432 459 508 512 544 576 612 662 762 768 816 864 918 993 1016 1024 1088 1143 1152 1224 1324 1524 1536 1632 1728 1836 1986 2032 2048 2159 2176 2286 2304 2448 2648 2979 3048 3072 3264 3429 3456 3672 3972 4064 4096 4318 4352 4572 4608 4896 5296 5627 5958 6096 6144 6477 6528 6858 6912 7344 7944 8128 8192 8636 8704 8937 9144 9216 9792 10592 11254 11916 12192 12288 12954 13056 13716 13824 14688 15888 16129 16256 16384 16881 17272 17408 17874 18288 18432 19431 19584 21184 22508 23832 24384 24576 25908 26112 27432 27648 29376 31776 32258 32512 33762 34544 34816 35748 36576 36864 38862 39168 42037 42368 45016 47664 48387 48768 49152 50643 51816 52224 54864 55296 58293 58752 63552 64516 65024 67524 69088 69632 71496 73152 73728 77724 78336 84074 84736 90032 95328 96774 97536 101286 103632 104448 109728 110592 116586 117504 126111 127104 129032 130048 135048 138176 139264 142992 145161 146304 147456 151929 155448 156672 168148 169472 180064 190656 193548 195072 202572 207264 208896 219456 221184 233172 235008 252222 254208 258064 260096 270096 274193 276352 278528 285984 290322 292608 303858 310896 313344 336296 338944 360128 378333 381312 387096 390144 405144 414528 417792 435483 438912 442368 466344 470016 504444 508416 516128 520192 540192 548386 552704 571968 580644 585216 607716 621792 626688 672592 677888 714629 720256 756666 762624 774192 780288 810288 822579 829056 835584 870966 877824 932688 940032 1008888 1016832 1032256 1040384 1080384 1096772 1105408 1134999 1143936 1161288 1170432 1215432 1243584 1253376 1345184 1355776 1429258 1440512 1513332 1525248 1548384 1560576 1620576 1645158 1658112 1741932 1755648 1865376 1880064 2017776 2033664 2064512 2080768 2143887 2160768 2193544 2210816 2269998 2287872 2322576 2340864 2430864 2467737 2487168 2506752 2690368 2711552 2858516 2881024 3026664 3050496 3096768 3121152 3241152 3290316 3316224 3483864 3511296 3730752 3760128 4035552 4067328 4129024 4287774 4321536 4387088 4421632 4539996 4575744 4645152 4681728 4861728 4935474 4974336 5338699 5380736 5423104 5717032 5762048 6053328 6100992 6193536 6242304 6431661 6482304 6580632 6632448 6967728 7022592 7403211 7461504 7520256 8071104 8134656 8258048 8575548 8643072 8774176 8843264 9079992 9151488 9290304 9363456 9723456 9870948 9948672 10677398 10761472 11434064 11524096 12106656 12201984 12387072 12863322 12964608 13161264 13264896 13935456 14045184 14806422 14923008 16016097 16142208 16269312 16516096 17151096 17286144 17548352 17686528 18159984 18302976 18580608 18726912 19294983 19446912 19741896 19897344 21354796 21522944 22868128 23048192 24213312 24403968 24774144 25726644 25929216 26322528 26529792 27870912 28090368 29612844 29846016 32032194 32284416 33032192 34302192 34572288 35096704 35373056 36319968 36605952 37161216 38589966 38893824 39483792 39794688 42709592 43045888 45736256 46096384 48048291 48426624 48807936 49548288 51453288 51858432 52645056 53059584 55741824 56180736 59225688 59692032 64064388 64568832 66064384 68604384 69144576 70193408 72639936 73211904 74322432 77179932 77787648 78967584 79589376 85419184 86091776 90757883 91472512 92192768 96096582 96853248 99096576 102906576 103716864 105290112 106119168 111483648 118451376 119384064 128128776 129137664 132128768 137208768 138289152 140386816 144144873 145279872 146423808 148644864 154359864 155575296 157935168 159178752 170838368 172183552 181515766 182945024 192193164 193706496 198193152 205813152 207433728 210580224 222967296 236902752 238768128 256257552 258275328 264257536 272273649 274417536 276578304 280773632 288289746 290559744 297289728 308719728 311150592 315870336 318357504 341676736 344367104 363031532 365890048 384386328 387412992 396386304 411626304 414867456 421160448 445934592 473805504 477536256 512515104 516550656 544547298 548835072 561547264 576579492 581119488 594579456 617439456 622301184 631740672 683353472 688734208 726063064 731780096 768772656 774825984 792772608 816820947 823252608 829734912 842320896 891869184 947611008 955072512 1025030208 1033101312 1089094596 1097670144 1123094528 1153158984 1162238976 1189158912 1234878912 1244602368 1263481344 1366706944 1452126128 1463560192 1537545312 1549651968 1633641894 1646505216 1684641792 1783738368 1895222016 2050060416 2066202624 2178189192 2195340288 2246189056 2306317968 2324477952 2378317824 2450462841 2469757824 2489204736 2526962688 2733413888 2904252256 2927120384 3075090624 3099303936 3267283788 3293010432 3369283584 3567476736 3790444032 4100120832 4356378384 4390680576 4492378112 4612635936 4648955904 4900925682 4939515648 5053925376 5466827776 5808504512 5854240768 6150181248 6198607872 6534567576 6586020864 6738567168 7134953472 7580888064 8200241664 8712756768 8781361152 9225271872 9297911808 9801851364 9879031296 10107850752 10933655552 11617009024 11708481536 12300362496 13069135152 13172041728 13477134336 15161776128 16400483328 17425513536 17562722304 18450543744 18595823616 19603702728 19758062592 20215701504 21867311104 23234018048 24600724992 26138270304 26344083456 30323552256 32800966656 34851027072 35125444608 36901087488 39207405456 39516125184 40431403008 43734622208 46468036096 49201449984 52276540608 52688166912 60647104512 65601933312 69702054144 73802174976 78414810912 79032250368 87469244416 92936072192 98402899968 104553081216 105376333824 121294209024 131203866624 139404108288 147604349952 156829621824 158064500736 185872144384 196805799936 209106162432 262407733248 278808216576 295208699904 313659243648 316129001472 371744288768 393611599872 418212324864 557616433152 590417399808 627318487296 743488577536 787223199744 836424649728 1115232866304 1180834799616 1254636974592 1486977155072 1672849299456 2230465732608 2361669599232 2509273949184 3345698598912 4460931465216 5018547898368 6691397197824 10037095796736 13382794395648 20074191593472 40148383186944
• Sum of all divisors σ(n): 127334963165760
• Sum of proper divisors (its aliquot sum) s(n): 87186579978816
• 40148383186944 is an abundant number, because the sum of its proper divisors (87186579978816) is greater than itself. Its abundance is 47038196791872

Bases of 40148383186944

• Binary: 1001001000001111000110000111100100000000000000₂
• Hexadecimal: 0x2483C61E4000
• Base-36: E8BWUQYO0

Squares and roots of 40148383186944

• 40148383186944 squared (40148383186944²) is 1611892672525687658052059136
• 40148383186944 cubed (40148383186944³) is 64714884672788549206489257677661231120384
• The square root of 40148383186944 is 6336275.1823878357
• The cube root of 40148383186944 is 34241.7553634675

Scales and comparisons

• 40,148,383,186,944 seconds is equal to 1,276,594 years, 20 weeks, 4 days, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 40,148,383,186,944 would take you about three million, one hundred ninety-one thousand, four hundred eighty-five 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 40148383186944 cubic inches would be around 2853.5 feet tall.

Recreational maths with 40148383186944

• 40148383186944 backwards is 44968138384104
• The number of decimal digits it has is: 14
• The sum of 40148383186944's digits is 63
• More coming soon!