42205189440
42,205,189,440 is an even composite number composed of seven prime numbers multiplied together.
42205189440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 42205189440:
26 × 3 × 5 × 19 × 29 × 73 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 19 × 29 × 73 × 1093)See below for interesting mathematical facts about the number 42205189440 from the Numbermatics database.
Names of 42205189440
- Cardinal: 42205189440 can be written as Forty-two billion, two hundred five million, one hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.220518944 × 1010
Factors of 42205189440
Divisors of 42205189440
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 32 38 40 48 57 58 60 64 73 76 80 87 95 96 114 116 120 145 146 152 160 174 190 192 219 228 232 240 285 290 292 304 320 348 365 380 435 438 456 464 480 551 570 580 584 608 696 730 760 870 876 912 928 960 1093 1095 1102 1140 1160 1168 1216 1387 1392 1460 1520 1653 1740 1752 1824 1856 2117 2186 2190 2204 2280 2320 2336 2755 2774 2784 2920 3040 3279 3306 3480 3504 3648 4161 4234 4372 4380 4408 4560 4640 4672 5465 5510 5548 5568 5840 6080 6351 6558 6612 6935 6960 7008 8265 8322 8468 8744 8760 8816 9120 9280 10585 10930 11020 11096 11680 12702 13116 13224 13870 13920 14016 16395 16530 16644 16936 17488 17520 17632 18240 20767 20805 21170 21860 22040 22192 23360 25404 26232 26448 27740 27840 31697 31755 32790 33060 33288 33872 34976 35040 35264 40223 41534 41610 42340 43720 44080 44384 50808 52464 52896 55480 62301 63394 63510 65580 66120 66576 67744 69952 70080 79789 80446 83068 83220 84680 87440 88160 88768 95091 101616 103835 104928 105792 110960 120669 124602 126788 127020 131160 132240 133152 135488 158485 159578 160892 166136 166440 169360 174880 176320 190182 201115 203232 207670 209856 221920 239367 241338 249204 253576 254040 262320 264480 266304 311505 316970 319156 321784 332272 332880 338720 349760 380364 398945 402230 406464 415340 443840 475455 478734 482676 498408 507152 508080 524640 528960 602243 603345 623010 633940 638312 643568 664544 665760 677440 760728 797890 804460 830680 950910 957468 965352 996816 1014304 1016160 1049280 1196835 1204486 1206690 1246020 1267880 1276624 1287136 1329088 1331520 1515991 1521456 1595780 1608920 1661360 1806729 1901820 1914936 1930704 1993632 2028608 2032320 2313881 2393670 2408972 2413380 2492040 2535760 2553248 2574272 3011215 3031982 3042912 3191560 3217840 3322720 3613458 3803640 3829872 3861408 3987264 4547973 4627762 4787340 4817944 4826760 4984080 5071520 5106496 6022430 6063964 6085824 6383120 6435680 6645440 6941643 7226916 7579955 7607280 7659744 7722816 9033645 9095946 9255524 9574680 9635888 9653520 9968160 10143040 11569405 12044860 12127928 12766240 12871360 13883286 14453832 15159910 15214560 15319488 18067290 18191892 18511048 19149360 19271776 19307040 19936320 22739865 23138810 24089720 24255856 25532480 27766572 28907664 30319820 30429120 34708215 36134580 36383784 37022096 38298720 38543552 38614080 43963739 45479730 46277620 48179440 48511712 55533144 57815328 60639640 69416430 72269160 72767568 74044192 76597440 87927478 90959460 92555240 96358880 97023424 111066288 115630656 121279280 131891217 138832860 144538320 145535136 148088384 175854956 181918920 185110480 192717760 219818695 222132576 242558560 263782434 277665720 289076640 291070272 351709912 363837840 370220960 439637390 444265152 485117120 527564868 555331440 578153280 659456085 703419824 727675680 740441920 879274780 1055129736 1110662880 1318912170 1406839648 1455351360 1758549560 2110259472 2221325760 2637824340 2813679296 3517099120 4220518944 5275648680 7034198240 8441037888 10551297360 14068396480 21102594720 42205189440
- Sum of all divisors σ(n): 148052332800
- Sum of proper divisors (its aliquot sum) s(n): 105847143360
- 42205189440 is an abundant number, because the sum of its proper divisors (105847143360) is greater than itself. Its abundance is 63641953920
Bases of 42205189440
- Binary: 1001110100111010000000010101010000002
- Hexadecimal: 0x9D3A01540
- Base-36: JDZVOLC
Squares and roots of 42205189440
- 42205189440 squared (422051894402) is 1781278015666287513600
- 42205189440 cubed (422051894403) is 75179176096502952332994576384000
-
The
square root of 42205189440 is 205439.0163527855 -
The
cube root of 42205189440 is 3481.6781178549
Scales and comparisons
How big is 42205189440?- 42,205,189,440 seconds is equal to 1,341 years, 51 weeks, 4 days, 23 hours, 44 minutes.
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To count from 1 to 42,205,189,440 would take you about two thousand, six hundred eighty-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 42205189440 cubic inches would be around 290.1 feet tall.
Recreational maths with 42205189440
- 42205189440 backwards is 04498150224
- The number of decimal digits it has is: 11
- The sum of 42205189440's digits is 39
- More coming soon!
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