4006045680
4,006,045,680 is an even composite number composed of eight prime numbers multiplied together.
4006045680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 4006045680:
24 × 3 × 5 × 7 × 13 × 31 × 61 × 97
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 31 × 61 × 97)See below for interesting mathematical facts about the number 4006045680 from the Numbermatics database.
Names of 4006045680
- Cardinal: 4006045680 can be written as Four billion, six million, forty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.00604568 × 109
Factors of 4006045680
Divisors of 4006045680
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 35 39 40 42 48 52 56 60 61 62 65 70 78 80 84 91 93 97 104 105 112 120 122 124 130 140 155 156 168 182 183 186 194 195 208 210 217 240 244 248 260 273 280 291 305 310 312 336 364 366 372 388 390 403 420 427 434 455 465 485 488 496 520 546 560 582 610 620 624 651 679 728 732 744 776 780 793 806 840 854 868 910 915 930 970 976 1040 1085 1092 1164 1209 1220 1240 1261 1281 1302 1358 1365 1455 1456 1464 1488 1552 1560 1586 1612 1680 1708 1736 1820 1830 1860 1891 1940 2015 2037 2135 2170 2184 2328 2379 2418 2440 2480 2522 2562 2604 2716 2730 2821 2910 2928 3007 3120 3172 3224 3255 3395 3416 3472 3640 3660 3720 3782 3783 3880 3965 4030 4074 4270 4340 4368 4656 4758 4836 4880 5044 5124 5208 5432 5460 5551 5642 5673 5820 5917 6014 6045 6305 6344 6405 6448 6510 6790 6832 7280 7320 7440 7564 7566 7760 7930 8060 8148 8463 8540 8680 8827 9021 9455 9516 9672 10088 10185 10248 10416 10864 10920 11102 11284 11346 11640 11834 11895 12028 12090 12610 12688 12810 13020 13237 13580 14105 14640 15035 15128 15132 15860 16120 16296 16653 16926 17080 17360 17654 17751 18042 18910 18915 19032 19344 20176 20370 20496 21049 21840 22204 22568 22692 23280 23668 23790 24056 24180 24583 25220 25620 26040 26474 26481 27160 27755 28210 28365 29585 30070 30256 30264 31720 32240 32592 33306 33852 34160 35308 35502 36084 37820 37830 38064 39091 39711 40740 41419 42098 42315 44135 44408 45105 45136 45384 47336 47580 48112 48360 49166 50440 51240 52080 52948 52962 54320 55510 56420 56730 59170 60140 60528 63147 63440 66185 66612 67704 70616 71004 72168 73749 75640 75660 76921 78182 79422 81480 82838 83265 84196 84630 88270 88755 88816 90210 90768 94672 95160 96720 98332 100880 102480 105245 105896 105924 111020 112840 113460 117273 118340 120280 122915 124257 126294 132370 132405 133224 135408 141232 142008 144336 147498 151280 151320 153842 156364 158844 162960 165676 166530 168392 169260 172081 176540 177510 180420 183427 190320 195455 196664 198555 207095 210490 211792 211848 222040 225680 226920 230763 234546 236680 240560 245830 248514 252588 264740 264810 266448 273637 284016 294996 302640 307684 312728 315735 317688 331352 333060 336784 338520 344162 353080 355020 360840 366854 368745 384605 390910 393328 397110 414190 420980 423696 444080 453840 461526 469092 473360 491660 497028 505176 516243 529480 529620 538447 547274 550281 586365 589992 615368 621285 625456 631470 635376 662704 666120 677040 688324 706160 710040 721680 733708 737490 769210 781820 794220 820911 828380 841960 860405 917135 923052 938184 983320 994056 1010352 1032486 1058960 1059240 1076894 1094548 1100562 1153815 1172730 1179984 1230736 1242570 1262940 1283989 1332240 1368185 1376648 1420080 1467416 1474980 1538420 1563640 1588440 1615341 1641822 1656760 1683920 1720810 1834270 1846104 1876368 1966640 1988112 2064972 2118480 2153788 2189096 2201124 2307630 2345460 2384551 2485140 2525880 2567978 2581215 2692235 2736370 2751405 2753296 2934832 2949960 3076840 3127280 3176880 3230682 3283644 3313520 3441620 3668540 3692208 3851967 4104555 4129944 4307576 4378192 4402248 4615260 4690920 4769102 4970280 5051760 5135956 5162430 5384470 5472740 5502810 5899920 6153680 6419945 6461364 6567288 6883240 7153653 7337080 7703934 8076705 8209110 8259888 8615152 8804496 9230520 9381840 9538204 9940560 10271912 10324860 10768940 10945480 11005620 11922755 12839890 12922728 13134576 13766480 14307306 14674160 15407868 16153410 16418220 16691857 18461040 19076408 19259835 20543824 20649720 21537880 21890960 22011240 23845510 25679780 25845456 28614612 30815736 32306820 32836440 33383714 35768265 38152816 38519670 41299440 43075760 44022480 47691020 50075571 51359560 57229224 61631472 64613640 65672880 66767428 71536530 77039340 83459285 95382040 100151142 102719120 114458448 129227280 133534856 143073060 154078680 166918570 190764080 200302284 250377855 267069712 286146120 308157360 333837140 400604568 500755710 572292240 667674280 801209136 1001511420 1335348560 2003022840 4006045680
- Sum of all divisors σ(n): 16201629696
- Sum of proper divisors (its aliquot sum) s(n): 12195584016
- 4006045680 is an abundant number, because the sum of its proper divisors (12195584016) is greater than itself. Its abundance is 8189538336
Bases of 4006045680
- Binary: 111011101100011101100111111100002
- Hexadecimal: 0xEEC767F0
- Base-36: 1U93GMO
Squares and roots of 4006045680
- 4006045680 squared (40060456802) is 16048401990246662400
- 4006045680 cubed (40060456803) is 64290631463931044041938432000
-
The
square root of 4006045680 is 63293.3304543221 -
The
cube root of 4006045680 is 1588.2003926229
Scales and comparisons
How big is 4006045680?- 4,006,045,680 seconds is equal to 127 years, 19 weeks, 5 days, 6 hours, 28 minutes.
-
To count from 1 to 4,006,045,680 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 4006045680 cubic inches would be around 132.4 feet tall.
Recreational maths with 4006045680
- 4006045680 backwards is 0865406004
- The number of decimal digits it has is: 10
- The sum of 4006045680's digits is 33
- More coming soon!
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