6442990400
6,442,990,400 is an even composite number composed of six prime numbers multiplied together.
6442990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 6442990400:
26 × 52 × 72 × 11 × 31 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 31 × 241)See below for interesting mathematical facts about the number 6442990400 from the Numbermatics database.
Names of 6442990400
- Cardinal: 6442990400 can be written as Six billion, four hundred forty-two million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 6.4429904 × 109
Factors of 6442990400
Divisors of 6442990400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 49 50 55 56 62 64 70 77 80 88 98 100 110 112 124 140 154 155 160 175 176 196 200 217 220 224 241 245 248 275 280 308 310 320 341 350 352 385 392 400 434 440 448 482 490 496 539 550 560 616 620 682 700 704 770 775 784 800 868 880 964 980 992 1078 1085 1100 1120 1205 1225 1232 1240 1364 1400 1519 1540 1550 1568 1600 1687 1705 1736 1760 1925 1928 1960 1984 2156 2170 2200 2240 2387 2410 2450 2464 2480 2651 2695 2728 2800 3038 3080 3100 3136 3374 3410 3472 3520 3850 3856 3920 4312 4340 4400 4774 4820 4900 4928 4960 5302 5390 5425 5456 5600 6025 6076 6160 6200 6748 6820 6944 7471 7595 7700 7712 7840 8435 8525 8624 8680 8800 9548 9640 9800 9920 10604 10780 10850 10912 11200 11809 11935 12050 12152 12320 12400 13255 13475 13496 13640 13888 14942 15190 15400 15424 15680 16709 16870 17050 17248 17360 17600 18557 19096 19280 19600 21208 21560 21700 21824 23618 23870 24100 24304 24640 24800 26510 26950 26992 27280 29884 30380 30800 33418 33740 34100 34496 34720 37114 37355 37975 38192 38560 39200 42175 42416 43120 43400 47236 47740 48200 48608 49600 52297 53020 53900 53984 54560 59045 59675 59768 60760 61600 66275 66836 67480 68200 69440 74228 74710 75950 76384 77120 78400 82181 83545 84350 84832 86240 86800 92785 94472 95480 96400 97216 104594 106040 107800 107968 109120 118090 119350 119536 121520 123200 129899 132550 133672 134960 136400 148456 149420 151900 152768 164362 167090 168700 169664 172480 173600 185570 186775 188944 190960 192800 209188 212080 215600 236180 238700 239072 243040 259798 261485 265100 267344 269920 272800 295225 296912 298840 303800 328724 334180 337400 347200 366079 371140 373550 377888 381920 385600 410905 417725 418376 424160 431200 463925 472360 477400 478144 486080 519596 522970 530200 534688 539840 545600 575267 590450 593824 597680 607600 649495 657448 668360 674800 732158 742280 747100 755776 763840 821810 835450 836752 848320 862400 927850 944720 954800 1039192 1045940 1060400 1069376 1150534 1180900 1187648 1195360 1215200 1298990 1307425 1314896 1336720 1349600 1464316 1484560 1494200 1643620 1670900 1673504 1830395 1855700 1889440 1909600 2054525 2078384 2091880 2120800 2301068 2361800 2390720 2430400 2597980 2614850 2629792 2673440 2699200 2876335 2928632 2969120 2988400 3247475 3287240 3341800 3347008 3660790 3711400 3778880 3819200 4026869 4109050 4156768 4183760 4241600 4602136 4723600 5195960 5229700 5259584 5346880 5752670 5857264 5938240 5976800 6494950 6574480 6683600 7321580 7422800 8053738 8218100 8313536 8367520 9151975 9204272 9447200 10391920 10459400 11505340 11714528 11953600 12989900 13148960 13367200 14381675 14643160 14845600 16107476 16436200 16735040 18303950 18408544 18894400 20134345 20783840 20918800 23010680 23429056 25979800 26297920 26734400 28763350 29286320 29691200 32214952 32872400 36607900 36817088 40268690 41567680 41837600 46021360 51959600 57526700 58572640 64429904 65744800 73215800 80537380 83675200 92042720 100671725 103919200 115053400 117145280 128859808 131489600 146431600 161074760 184085440 201343450 207838400 230106800 257719616 292863200 322149520 402686900 460213600 585726400 644299040 805373800 920427200 1288598080 1610747600 3221495200 6442990400
- Sum of all divisors σ(n): 20853879552
- Sum of proper divisors (its aliquot sum) s(n): 14410889152
- 6442990400 is an abundant number, because the sum of its proper divisors (14410889152) is greater than itself. Its abundance is 7967898752
Bases of 6442990400
- Binary: 1100000000000100000111011010000002
- Hexadecimal: 0x180083B40
- Base-36: 2YJZN7K
Squares and roots of 6442990400
- 6442990400 squared (64429904002) is 41512125294492160000
- 6442990400 cubed (64429904003) is 267462224756010159755264000000
-
The
square root of 6442990400 is 80268.2402946521 -
The
cube root of 6442990400 is 1860.7834214745
Scales and comparisons
How big is 6442990400?- 6,442,990,400 seconds is equal to 204 years, 45 weeks, 15 hours, 33 minutes, 20 seconds.
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To count from 1 to 6,442,990,400 would take you about four hundred nine 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 6442990400 cubic inches would be around 155.1 feet tall.
Recreational maths with 6442990400
- 6442990400 backwards is 0040992446
- The number of decimal digits it has is: 10
- The sum of 6442990400's digits is 38
- More coming soon!
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