40140228096
40,140,228,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 40140228096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
40140228096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40140228096:
29 × 32 × 17 × 19 × 149 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 19 × 149 × 181)See below for interesting mathematical facts about the number 40140228096 from the Numbermatics database.
Names of 40140228096
- Cardinal: 40140228096 can be written as Forty billion, one hundred forty million, two hundred twenty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 4.0140228096 × 1010
Factors of 40140228096
Divisors of 40140228096
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 64 68 72 76 96 102 114 128 136 144 149 152 153 171 181 192 204 228 256 272 288 298 304 306 323 342 362 384 408 447 456 512 543 544 576 596 608 612 646 684 724 768 816 894 912 969 1086 1088 1152 1192 1216 1224 1292 1341 1368 1448 1536 1629 1632 1788 1824 1938 2172 2176 2304 2384 2432 2448 2533 2584 2682 2736 2831 2896 2907 3077 3258 3264 3439 3576 3648 3876 4344 4352 4608 4768 4864 4896 5066 5168 5364 5472 5662 5792 5814 6154 6516 6528 6878 7152 7296 7599 7752 8493 8688 8704 9231 9536 9728 9792 10132 10317 10336 10728 10944 11324 11584 11628 12308 13032 13056 13756 14304 14592 15198 15504 16986 17376 18462 19072 19584 20264 20634 20672 21456 21888 22648 22797 23168 23256 24616 25479 26064 26112 26969 27512 27693 28608 29184 30396 30951 31008 33972 34752 36924 38144 39168 40528 41268 41344 42912 43776 45296 45594 46336 46512 48127 49232 50958 52128 53938 55024 55386 57216 58463 60792 61902 62016 67944 69504 73848 76288 78336 80907 81056 82536 82688 85824 87552 90592 91188 92672 93024 96254 98464 101916 104256 107876 110048 110772 114432 116926 121584 123804 124032 135888 139008 144381 147696 161814 162112 165072 165376 171648 175389 181184 182376 186048 192508 196928 203832 208512 215752 220096 221544 228864 233852 242721 243168 247608 248064 271776 278016 288762 295392 323628 324224 330144 343296 350778 362368 364752 372096 385016 393856 407664 417024 431504 433143 440192 443088 458473 467704 485442 486336 495216 496128 512411 526167 543552 577524 590784 647256 648448 660288 686592 701556 724736 729504 744192 770032 787712 815328 834048 863008 866286 880384 886176 916946 935408 970884 972672 990432 1024822 1052334 1087104 1155048 1181568 1294512 1296896 1320576 1375419 1403112 1449472 1459008 1488384 1537233 1540064 1575424 1630656 1726016 1732572 1760768 1772352 1833892 1870816 1941768 1945344 1980864 2049644 2104668 2174208 2310096 2363136 2589024 2641152 2750838 2806224 2918016 3074466 3080128 3261312 3452032 3465144 3544704 3667784 3741632 3883536 3890688 3961728 4099288 4126257 4209336 4348416 4611699 4620192 4726272 5178048 5282304 5501676 5612448 5836032 6148932 6160256 6522624 6904064 6930288 7089408 7335568 7483264 7767072 7923456 8198576 8252514 8418672 8710987 9223398 9240384 10356096 11003352 11224896 11672064 12297864 12320512 13045248 13808128 13860576 14178816 14671136 14966528 15534144 15846912 16397152 16505028 16837344 17421974 18446796 18480768 20712192 22006704 22449792 24595728 24641024 26132961 27721152 29342272 29933056 31068288 32794304 33010056 33674688 34843948 36893592 36961536 41424384 44013408 44899584 49191456 52265922 55442304 58684544 62136576 65588608 66020112 67349376 69687896 73787184 73923072 78398883 88026816 89799168 98382912 104531844 110884608 117369088 124273152 131177216 132040224 134698752 139375792 147574368 156797766 176053632 196765824 209063688 221769216 234738176 262354432 264080448 269397504 278751584 295148736 313595532 352107264 393531648 418127376 528160896 557503168 590297472 627191064 704214528 787063296 836254752 1056321792 1115006336 1180594944 1254382128 1672509504 2112643584 2230012672 2361189888 2508764256 3345019008 4460025344 5017528512 6690038016 10035057024 13380076032 20070114048 40140228096
- Sum of all divisors σ(n): 130702572000
- Sum of proper divisors (its aliquot sum) s(n): 90562343904
- 40140228096 is an abundant number, because the sum of its proper divisors (90562343904) is greater than itself. Its abundance is 50422115808
Bases of 40140228096
- Binary: 1001010110001000101101000110000000002
- Hexadecimal: 0x9588B4600
- Base-36: IFUGE80
Squares and roots of 40140228096
- 40140228096 squared (401402280962) is 1611237911598907785216
- 40140228096 cubed (401402280963) is 64675457288502842563040416628736
-
The
square root of 40140228096 is 200350.2635286513 -
The
cube root of 40140228096 is 3423.9436768329
Scales and comparisons
How big is 40140228096?- 40,140,228,096 seconds is equal to 1,276 years, 17 weeks, 2 days, 23 hours, 21 minutes, 36 seconds.
-
To count from 1 to 40,140,228,096 would take you about two thousand, five hundred fifty-two 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 40140228096 cubic inches would be around 285.3 feet tall.
Recreational maths with 40140228096
- 40140228096 backwards is 69082204104
- 40140228096 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 40140228096's digits is 36
- More coming soon!
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