428366400
428,366,400 is an even composite number composed of seven prime numbers multiplied together.
428366400 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 428366400:
26 × 3 × 52 × 7 × 11 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 19 × 61)See below for interesting mathematical facts about the number 428366400 from the Numbermatics database.
Names of 428366400
- Cardinal: 428366400 can be written as Four hundred twenty-eight million, three hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.283664 × 108
Factors of 428366400
Divisors of 428366400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 25 28 30 32 33 35 38 40 42 44 48 50 55 56 57 60 61 64 66 70 75 76 77 80 84 88 95 96 100 105 110 112 114 120 122 132 133 140 150 152 154 160 165 168 175 176 183 190 192 200 209 210 220 224 228 231 240 244 264 266 275 280 285 300 304 305 308 320 330 336 350 352 366 380 385 399 400 418 420 427 440 448 456 462 475 480 488 525 528 532 550 560 570 600 608 610 616 627 660 665 671 672 700 704 732 760 770 798 800 825 836 840 854 880 912 915 924 950 960 976 1045 1050 1056 1064 1100 1120 1140 1155 1159 1200 1216 1220 1232 1254 1281 1320 1330 1342 1344 1400 1425 1463 1464 1520 1525 1540 1596 1600 1650 1672 1680 1708 1760 1824 1830 1848 1900 1925 1952 1995 2013 2090 2100 2112 2128 2135 2200 2240 2280 2310 2318 2400 2440 2464 2508 2562 2640 2660 2684 2800 2850 2926 2928 3040 3050 3080 3135 3192 3300 3325 3344 3355 3360 3416 3477 3520 3648 3660 3696 3800 3850 3904 3990 4026 4180 4200 4256 4270 4389 4400 4560 4575 4620 4636 4697 4800 4880 4928 5016 5124 5225 5280 5320 5368 5600 5700 5775 5795 5852 5856 6080 6100 6160 6270 6384 6405 6600 6650 6688 6710 6720 6832 6954 7315 7320 7392 7600 7700 7980 8052 8113 8360 8400 8512 8540 8778 8800 9120 9150 9240 9272 9394 9760 9975 10032 10065 10248 10450 10560 10640 10675 10736 11200 11400 11550 11590 11704 11712 12200 12320 12540 12749 12768 12810 13200 13300 13376 13420 13664 13908 14091 14630 14640 14784 15200 15400 15675 15960 16104 16226 16720 16775 16800 17080 17385 17556 17600 18240 18300 18480 18544 18788 19520 19950 20064 20130 20496 20900 21280 21350 21472 21945 22800 23100 23180 23408 23485 24339 24400 24640 25080 25498 25536 25620 26400 26600 26840 27328 27816 28182 28975 29260 29280 30400 30800 31350 31920 32025 32208 32452 33440 33550 33600 34160 34770 35112 36575 36600 36960 37088 37576 38247 39900 40128 40260 40565 40992 41800 42560 42700 42944 43890 45600 46200 46360 46816 46970 48678 48800 50160 50325 50996 51240 52800 53200 53680 55632 56364 57950 58520 58560 61600 62700 63745 63840 64050 64416 64904 66880 67100 68320 69540 70224 70455 73150 73200 73920 74176 75152 76494 79800 80520 81130 81984 83600 85400 86925 87780 89243 91200 92400 92720 93632 93940 97356 97600 100320 100650 101992 102480 106400 107360 109725 111264 112728 115900 117040 117425 121695 123200 125400 127490 127680 128100 128832 129808 134200 136640 139080 140448 140910 146300 146400 150304 152988 159600 161040 162260 167200 170800 173850 175560 178486 184800 185440 187880 191235 194712 200640 201300 202825 203984 204960 212800 214720 219450 222528 225456 231800 234080 234850 243390 250800 254980 256200 259616 267729 268400 278160 280896 281820 292600 292800 300608 305976 318725 319200 322080 324520 334400 341600 347700 351120 352275 356972 369600 370880 375760 382470 389424 402600 405650 407968 409920 438900 446215 450912 463600 468160 469700 486780 501600 509960 512400 519232 535458 536800 556320 563640 585200 608475 611952 637450 638400 644160 649040 683200 695400 702240 704550 713944 751520 764940 778848 805200 811300 815936 877800 892430 901824 927200 939400 956175 973560 1003200 1019920 1024800 1070916 1073600 1112640 1127280 1170400 1216950 1223904 1274900 1298080 1338645 1390800 1404480 1409100 1427888 1503040 1529880 1557696 1610400 1622600 1755600 1784860 1854400 1878800 1912350 1947120 2039840 2049600 2141832 2231075 2254560 2340800 2433900 2447808 2549800 2596160 2677290 2781600 2818200 2855776 3059760 3220800 3245200 3511200 3569720 3757600 3824700 3894240 4079680 4283664 4462150 4509120 4867800 5099600 5354580 5563200 5636400 5711552 6119520 6490400 6693225 7022400 7139440 7515200 7649400 7788480 8567328 8924300 9735600 10199200 10709160 11272800 12239040 12980800 13386450 14278880 15298800 17134656 17848600 19471200 20398400 21418320 22545600 26772900 28557760 30597600 35697200 38942400 42836640 53545800 61195200 71394400 85673280 107091600 142788800 214183200 428366400
- Sum of all divisors σ(n): 1874641920
- Sum of proper divisors (its aliquot sum) s(n): 1446275520
- 428366400 is an abundant number, because the sum of its proper divisors (1446275520) is greater than itself. Its abundance is 1017909120
Bases of 428366400
- Binary: 110011000100001011010010000002
- Hexadecimal: 0x19885A40
- Base-36: 731DMO
Squares and roots of 428366400
- 428366400 squared (4283664002) is 183497772648960000
- 428366400 cubed (4283664003) is 78604280277653458944000000
-
The
square root of 428366400 is 20697.0142774265 -
The
cube root of 428366400 is 753.8271924661
Scales and comparisons
How big is 428366400?- 428,366,400 seconds is equal to 13 years, 32 weeks, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 428,366,400 would take you about twenty 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 428366400 cubic inches would be around 62.8 feet tall.
Recreational maths with 428366400
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