1328221440
1,328,221,440 is an even composite number composed of six prime numbers multiplied together.
1328221440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 1328221440:
28 × 32 × 5 × 72 × 13 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 181)See below for interesting mathematical facts about the number 1328221440 from the Numbermatics database.
Names of 1328221440
- Cardinal: 1328221440 can be written as One billion, three hundred twenty-eight million, two hundred twenty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.32822144 × 109
Factors of 1328221440
Divisors of 1328221440
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 49 52 56 60 63 64 65 70 72 78 80 84 90 91 96 98 104 105 112 117 120 126 128 130 140 144 147 156 160 168 180 181 182 192 195 196 208 210 224 234 240 245 252 256 260 273 280 288 294 312 315 320 336 360 362 364 384 390 392 416 420 441 448 455 468 480 490 504 520 543 546 560 576 585 588 624 630 637 640 672 720 724 728 735 768 780 784 819 832 840 882 896 905 910 936 960 980 1008 1040 1086 1092 1120 1152 1170 1176 1248 1260 1267 1274 1280 1344 1365 1440 1448 1456 1470 1560 1568 1629 1638 1664 1680 1764 1792 1810 1820 1872 1911 1920 1960 2016 2080 2172 2184 2205 2240 2304 2340 2352 2353 2496 2520 2534 2548 2688 2715 2730 2880 2896 2912 2940 3120 3136 3185 3258 3276 3328 3360 3528 3620 3640 3744 3801 3822 3840 3920 4032 4095 4160 4344 4368 4410 4480 4680 4704 4706 4992 5040 5068 5096 5376 5430 5460 5733 5760 5792 5824 5880 6240 6272 6335 6370 6516 6552 6720 7056 7059 7240 7280 7488 7602 7644 7840 8064 8145 8190 8320 8688 8736 8820 8869 8960 9360 9408 9412 9555 9984 10080 10136 10192 10860 10920 11403 11466 11520 11584 11648 11760 11765 12480 12544 12670 12740 13032 13104 13440 14112 14118 14480 14560 14976 15204 15288 15680 16128 16290 16380 16471 16640 17376 17472 17640 17738 18720 18816 18824 19005 19110 20160 20272 20384 21177 21720 21840 22806 22932 23168 23296 23520 23530 24960 25340 25480 26064 26208 26607 26880 28224 28236 28665 28960 29120 29952 30408 30576 31360 32580 32760 32942 34752 34944 35280 35295 35476 37440 37632 37648 38010 38220 40320 40544 40768 42354 43440 43680 44345 45612 45864 46336 47040 47060 49413 49920 50680 50960 52128 52416 53214 56448 56472 57015 57330 57920 58240 60816 61152 62720 65160 65520 65884 69504 69888 70560 70590 70952 74880 75296 76020 76440 79821 80640 81088 81536 82355 84708 86880 87360 88690 91224 91728 94080 94120 98826 101360 101920 104256 104832 105885 106428 112896 112944 114030 114660 115297 115840 116480 121632 122304 130320 131040 131768 133035 139008 141120 141180 141904 148239 149760 150592 152040 152880 159642 162176 163072 164710 169416 173760 174720 177380 182448 183456 188160 188240 197652 202720 203840 208512 209664 211770 212856 225888 228060 229320 230594 231680 243264 244608 247065 260640 262080 263536 266070 282240 282360 283808 296478 301184 304080 305760 319284 324352 329420 338832 345891 347520 349440 354760 364896 366912 376480 395304 399105 405440 407680 417024 423540 425712 451776 456120 458640 461188 486528 489216 494130 521280 524160 527072 532140 564480 564720 567616 576485 592956 602368 608160 611520 638568 658840 677664 691782 695040 709520 729792 733824 741195 752960 790608 798210 810880 815360 847080 851424 903552 912240 917280 922376 973056 988260 1037673 1042560 1048320 1054144 1064280 1129440 1135232 1152970 1185912 1216320 1223040 1277136 1317680 1355328 1383564 1419040 1459584 1467648 1482390 1505920 1581216 1596420 1621760 1694160 1702848 1729455 1807104 1824480 1834560 1844752 1976520 2075346 2085120 2108288 2128560 2258880 2270464 2305940 2371824 2432640 2446080 2554272 2635360 2710656 2767128 2838080 2919168 2964780 3011840 3162432 3192840 3388320 3405696 3458910 3648960 3669120 3689504 3953040 4150692 4216576 4257120 4517760 4611880 4743648 4865280 5108544 5188365 5270720 5421312 5534256 5676160 5929560 6324864 6385680 6776640 6811392 6917820 7297920 7338240 7379008 7906080 8301384 8514240 9035520 9223760 9487296 10217088 10376730 10541440 11068512 11352320 11859120 12649728 12771360 13553280 13835640 14595840 14758016 15812160 16602768 17028480 18447520 18974592 20434176 20753460 21082880 22137024 23718240 25542720 27106560 27671280 29516032 31624320 33205536 34056960 36895040 37949184 41506920 44274048 47436480 51085440 55342560 63248640 66411072 73790080 83013840 88548096 94872960 102170880 110685120 132822144 147580160 166027680 189745920 221370240 265644288 332055360 442740480 664110720 1328221440
- Sum of all divisors σ(n): 5788816488
- Sum of proper divisors (its aliquot sum) s(n): 4460595048
- 1328221440 is an abundant number, because the sum of its proper divisors (4460595048) is greater than itself. Its abundance is 3132373608
Bases of 1328221440
- Binary: 10011110010101100001101000000002
- Hexadecimal: 0x4F2B0D00
- Base-36: LYSE80
Squares and roots of 1328221440
- 1328221440 squared (13282214402) is 1764172193675673600
- 1328221440 cubed (13282214403) is 2343211331491862081961984000
-
The
square root of 1328221440 is 36444.7724646485 -
The
cube root of 1328221440 is 1099.2340232155
Scales and comparisons
How big is 1328221440?- 1,328,221,440 seconds is equal to 42 years, 12 weeks, 22 hours, 24 minutes.
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To count from 1 to 1,328,221,440 would take you about eighty-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 1328221440 cubic inches would be around 91.6 feet tall.
Recreational maths with 1328221440
- 1328221440 backwards is 0441228231
- The number of decimal digits it has is: 10
- The sum of 1328221440's digits is 27
- More coming soon!
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