4006142400
4,006,142,400 is an even composite number composed of seven prime numbers multiplied together.
4006142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 4006142400:
26 × 3 × 52 × 13 × 19 × 31 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 31 × 109)See below for interesting mathematical facts about the number 4006142400 from the Numbermatics database.
Names of 4006142400
- Cardinal: 4006142400 can be written as Four billion, six million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.0061424 × 109
Factors of 4006142400
Divisors of 4006142400
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 31 32 38 39 40 48 50 52 57 60 62 64 65 75 76 78 80 93 95 96 100 104 109 114 120 124 130 150 152 155 156 160 186 190 192 195 200 208 218 228 240 247 248 260 285 300 304 310 312 320 325 327 372 380 390 400 403 416 436 456 465 475 480 494 496 520 545 570 589 600 608 620 624 650 654 741 744 760 775 780 800 806 832 872 912 930 950 960 975 988 992 1040 1090 1140 1178 1200 1209 1216 1235 1240 1248 1300 1308 1417 1425 1482 1488 1520 1550 1560 1600 1612 1635 1744 1767 1824 1860 1900 1950 1976 1984 2015 2071 2080 2180 2280 2325 2356 2400 2418 2470 2480 2496 2600 2616 2725 2834 2850 2945 2964 2976 3040 3100 3120 3224 3270 3379 3488 3534 3648 3705 3720 3800 3900 3952 4030 4142 4160 4251 4360 4560 4650 4712 4800 4836 4940 4960 5200 5232 5450 5668 5700 5890 5928 5952 6045 6080 6175 6200 6213 6240 6448 6540 6758 6976 7068 7085 7410 7440 7600 7657 7800 7904 8060 8175 8284 8502 8720 8835 9120 9300 9424 9672 9880 9920 10075 10137 10355 10400 10464 10900 11336 11400 11780 11856 12090 12350 12400 12426 12480 12896 13080 13516 14136 14170 14725 14820 14880 15200 15314 15600 15808 16120 16350 16568 16895 17004 17440 17670 18240 18525 18600 18848 19344 19760 20150 20274 20710 20800 20928 21255 21800 22672 22800 22971 23560 23712 24180 24700 24800 24852 25792 26160 26923 27032 28272 28340 29450 29640 29760 30225 30400 30628 31065 31200 32240 32700 33136 33790 34008 34880 35340 35425 37050 37200 37696 38285 38688 39520 40300 40548 41420 42510 43600 43927 44175 45344 45600 45942 47120 47424 48360 49400 49600 49704 50685 51775 52320 53846 54064 56544 56680 58900 59280 60450 61256 62130 62400 64201 64480 65400 66272 67580 68016 70680 70850 74100 74400 76570 77376 79040 80600 80769 81096 82840 84475 85020 87200 87854 88350 90688 91200 91884 94240 96720 98800 99408 101370 103550 104640 106275 107692 108128 113088 113360 114855 117800 118560 120900 122512 124260 128402 128960 130800 131781 132544 134615 135160 136032 141360 141700 148200 148800 153140 155325 161200 161538 162192 165680 168950 170040 174400 175708 176700 183768 188480 191425 192603 193440 197600 198816 202740 207100 212550 215384 216256 219635 226720 229710 235600 237120 241800 245024 248520 253425 256804 261600 263562 269230 270320 272064 282720 283400 296400 306280 310650 321005 322400 323076 324384 331360 337900 340080 351416 353400 367536 382850 385206 386880 395200 397632 403845 405480 414200 425100 430768 439270 453440 459420 471200 483600 490048 497040 506850 513608 523200 527124 538460 540640 565440 566800 574275 592800 612560 621300 642010 644800 646152 648768 658905 662720 673075 675800 680160 702832 706800 735072 765700 770412 807690 810960 828400 834613 850200 861536 878540 918840 942400 963015 967200 994080 1013700 1027216 1054248 1076920 1081280 1098175 1133600 1148550 1185600 1225120 1242600 1284020 1292304 1317810 1346150 1351600 1360320 1405664 1413600 1470144 1531400 1540824 1605025 1615380 1621920 1656800 1669226 1700400 1723072 1757080 1837680 1926030 1934400 1988160 2019225 2027400 2054432 2108496 2153840 2196350 2267200 2297100 2450240 2485200 2503839 2568040 2584608 2635620 2692300 2703200 2811328 2827200 3062800 3081648 3210050 3230760 3243840 3294525 3313600 3338452 3400800 3514160 3675360 3852060 4038450 4054800 4108864 4173065 4216992 4307680 4392700 4594200 4815075 4970400 5007678 5136080 5169216 5271240 5384600 5406400 6125600 6163296 6420100 6461520 6589050 6676904 6801600 7028320 7350720 7704120 8076900 8109600 8346130 8433984 8615360 8785400 9188400 9630150 9940800 10015356 10272160 10542480 10769200 12251200 12326592 12519195 12840200 12923040 13178100 13353808 14056640 15408240 16153800 16219200 16692260 17570800 18376800 19260300 20030712 20544320 20865325 21084960 21538400 25038390 25680400 25846080 26356200 26707616 30816480 32307600 33384520 35141600 36753600 38520600 40061424 41730650 42169920 43076800 50076780 51360800 52712400 53415232 61632960 62595975 64615200 66769040 70283200 77041200 80122848 83461300 100153560 102721600 105424800 125191950 129230400 133538080 154082400 160245696 166922600 200307120 210849600 250383900 267076160 308164800 333845200 400614240 500767800 667690400 801228480 1001535600 1335380800 2003071200 4006142400
- Sum of all divisors σ(n): 15521228800
- Sum of proper divisors (its aliquot sum) s(n): 11515086400
- 4006142400 is an abundant number, because the sum of its proper divisors (11515086400) is greater than itself. Its abundance is 7508944000
Bases of 4006142400
- Binary: 111011101100100011100001110000002
- Hexadecimal: 0xEEC8E1C0
- Base-36: 1U95J9C
Squares and roots of 4006142400
- 4006142400 squared (40061424002) is 16049176929077760000
- 4006142400 cubed (40061424003) is 64295288180680207233024000000
-
The
square root of 4006142400 is 63294.0945112577 -
The
cube root of 4006142400 is 1588.2131740969
Scales and comparisons
How big is 4006142400?- 4,006,142,400 seconds is equal to 127 years, 19 weeks, 6 days, 9 hours, 20 minutes.
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To count from 1 to 4,006,142,400 would take you about two hundred fifty-four 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 4006142400 cubic inches would be around 132.4 feet tall.
Recreational maths with 4006142400
- 4006142400 backwards is 0042416004
- The number of decimal digits it has is: 10
- The sum of 4006142400's digits is 21
- More coming soon!
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