668528640
668,528,640 is an even composite number composed of five prime numbers multiplied together.
668528640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twenty divisors.
Prime factorization of 668528640:
212 × 34 × 5 × 13 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 31)See below for interesting mathematical facts about the number 668528640 from the Numbermatics database.
Names of 668528640
- Cardinal: 668528640 can be written as Six hundred sixty-eight million, five hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 6.6852864 × 108
Factors of 668528640
Divisors of 668528640
- Number of divisors d(n): 520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 64 65 72 78 80 81 90 93 96 104 108 117 120 124 128 130 135 144 155 156 160 162 180 186 192 195 208 216 234 240 248 256 260 270 279 288 310 312 320 324 351 360 372 384 390 403 405 416 432 465 468 480 496 512 520 540 558 576 585 620 624 640 648 702 720 744 768 780 806 810 832 837 864 930 936 960 992 1024 1040 1053 1080 1116 1152 1170 1209 1240 1248 1280 1296 1395 1404 1440 1488 1536 1560 1612 1620 1664 1674 1728 1755 1860 1872 1920 1984 2015 2048 2080 2106 2160 2232 2304 2340 2418 2480 2496 2511 2560 2592 2790 2808 2880 2976 3072 3120 3224 3240 3328 3348 3456 3510 3627 3720 3744 3840 3968 4030 4096 4160 4185 4212 4320 4464 4608 4680 4836 4960 4992 5022 5120 5184 5265 5580 5616 5760 5952 6045 6144 6240 6448 6480 6656 6696 6912 7020 7254 7440 7488 7680 7936 8060 8320 8370 8424 8640 8928 9216 9360 9672 9920 9984 10044 10240 10368 10530 10881 11160 11232 11520 11904 12090 12288 12480 12555 12896 12960 13312 13392 13824 14040 14508 14880 14976 15360 15872 16120 16640 16740 16848 17280 17856 18135 18432 18720 19344 19840 19968 20088 20480 20736 21060 21762 22320 22464 23040 23808 24180 24960 25110 25792 25920 26624 26784 27648 28080 29016 29760 29952 30720 31744 32240 32643 33280 33480 33696 34560 35712 36270 36864 37440 38688 39680 39936 40176 41472 42120 43524 44640 44928 46080 47616 48360 49920 50220 51584 51840 53248 53568 54405 55296 56160 58032 59520 59904 61440 63488 64480 65286 66560 66960 67392 69120 71424 72540 74880 77376 79360 79872 80352 82944 84240 87048 89280 89856 92160 95232 96720 99840 100440 103168 103680 107136 108810 110592 112320 116064 119040 119808 126976 128960 130572 133120 133920 134784 138240 142848 145080 149760 154752 158720 159744 160704 163215 165888 168480 174096 178560 179712 184320 190464 193440 199680 200880 206336 207360 214272 217620 224640 232128 238080 239616 257920 261144 266240 267840 269568 276480 285696 290160 299520 309504 317440 321408 326430 331776 336960 348192 357120 359424 380928 386880 399360 401760 412672 414720 428544 435240 449280 464256 476160 479232 515840 522288 535680 539136 552960 571392 580320 599040 619008 634880 642816 652860 673920 696384 714240 718848 773760 798720 803520 825344 829440 857088 870480 898560 928512 952320 1031680 1044576 1071360 1078272 1142784 1160640 1198080 1238016 1285632 1305720 1347840 1392768 1428480 1437696 1547520 1607040 1650688 1658880 1714176 1740960 1797120 1857024 1904640 2063360 2089152 2142720 2156544 2321280 2396160 2476032 2571264 2611440 2695680 2785536 2856960 3095040 3214080 3428352 3481920 3594240 3714048 4126720 4178304 4285440 4313088 4642560 4952064 5142528 5222880 5391360 5571072 5713920 6190080 6428160 6963840 7188480 7428096 8253440 8356608 8570880 9285120 10285056 10445760 10782720 11142144 12380160 12856320 13927680 14856192 16713216 17141760 18570240 20891520 21565440 22284288 24760320 25712640 27855360 33426432 37140480 41783040 44568576 51425280 55710720 66852864 74280960 83566080 111421440 133705728 167132160 222842880 334264320 668528640
- Sum of all divisors σ(n): 2664106368
- Sum of proper divisors (its aliquot sum) s(n): 1995577728
- 668528640 is an abundant number, because the sum of its proper divisors (1995577728) is greater than itself. Its abundance is 1327049088
Bases of 668528640
- Binary: 1001111101100011110000000000002
- Hexadecimal: 0x27D8F000
- Base-36: B20W00
Squares and roots of 668528640
- 668528640 squared (6685286402) is 446930542500249600
- 668528640 cubed (6685286403) is 298785867752154064748544000
-
The
square root of 668528640 is 25855.9207919577 -
The
cube root of 668528640 is 874.3930005101
Scales and comparisons
How big is 668528640?- 668,528,640 seconds is equal to 21 years, 13 weeks, 2 days, 14 hours, 24 minutes.
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To count from 1 to 668,528,640 would take you about thirty-one 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 668528640 cubic inches would be around 72.9 feet tall.
Recreational maths with 668528640
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