3138038400
3,138,038,400 is an even composite number composed of five prime numbers multiplied together.
3138038400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 3138038400:
27 × 3 × 52 × 73 × 953
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 953)See below for interesting mathematical facts about the number 3138038400 from the Numbermatics database.
Names of 3138038400
- Cardinal: 3138038400 can be written as Three billion, one hundred thirty-eight million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.1380384 × 109
Factors of 3138038400
Divisors of 3138038400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 343 350 384 392 400 420 448 480 490 525 560 588 600 640 672 686 700 735 784 800 840 896 953 960 980 1029 1050 1120 1176 1200 1225 1344 1372 1400 1470 1568 1600 1680 1715 1906 1920 1960 2058 2100 2240 2352 2400 2450 2688 2744 2800 2859 2940 3136 3200 3360 3430 3675 3812 3920 4116 4200 4480 4704 4765 4800 4900 5145 5488 5600 5718 5880 6272 6671 6720 6860 7350 7624 7840 8232 8400 8575 9408 9530 9600 9800 10290 10976 11200 11436 11760 13342 13440 13720 14295 14700 15248 15680 16464 16800 17150 18816 19060 19600 20013 20580 21952 22400 22872 23520 23825 25725 26684 27440 28590 29400 30496 31360 32928 33355 33600 34300 38120 39200 40026 41160 43904 45744 46697 47040 47650 51450 53368 54880 57180 58800 60992 65856 66710 67200 68600 71475 76240 78400 80052 82320 91488 93394 94080 95300 100065 102900 106736 109760 114360 117600 121984 131712 133420 137200 140091 142950 152480 156800 160104 164640 166775 182976 186788 190600 200130 205800 213472 219520 228720 233485 235200 266840 274400 280182 285900 304960 320208 326879 329280 333550 365952 373576 381200 400260 411600 426944 457440 466970 470400 500325 533680 548800 560364 571800 609920 640416 653758 658560 667100 700455 747152 762400 800520 823200 853888 914880 933940 980637 1000650 1067360 1097600 1120728 1143600 1167425 1280832 1307516 1334200 1400910 1494304 1524800 1601040 1634395 1646400 1829760 1867880 1961274 2001300 2134720 2241456 2287200 2334850 2561664 2615032 2668400 2801820 2988608 3049600 3202080 3268790 3292800 3502275 3735760 3922548 4002600 4269440 4482912 4574400 4669700 4903185 5230064 5336800 5603640 5977216 6404160 6537580 7004550 7471520 7845096 8005200 8171975 8965824 9148800 9339400 9806370 10460128 10673600 11207280 12808320 13075160 14009100 14943040 15690192 16010400 16343950 17931648 18678800 19612740 20920256 21347200 22414560 24515925 26150320 28018200 29886080 31380384 32020800 32687900 37357600 39225480 41840512 44829120 49031850 52300640 56036400 62760768 64041600 65375800 74715200 78450960 89658240 98063700 104601280 112072800 125521536 130751600 149430400 156901920 196127400 209202560 224145600 261503200 313803840 392254800 448291200 523006400 627607680 784509600 1046012800 1569019200 3138038400
- Sum of all divisors σ(n): 12066192000
- Sum of proper divisors (its aliquot sum) s(n): 8928153600
- 3138038400 is an abundant number, because the sum of its proper divisors (8928153600) is greater than itself. Its abundance is 5790115200
Bases of 3138038400
- Binary: 101110110000101010101010100000002
- Hexadecimal: 0xBB0AAA80
- Base-36: 1FWB1XC
Squares and roots of 3138038400
- 3138038400 squared (31380384002) is 9847284999874560000
- 3138038400 cubed (31380384003) is 30901158465350364463104000000
-
The
square root of 3138038400 is 56018.1970434607 -
The
cube root of 3138038400 is 1464.0393551485
Scales and comparisons
How big is 3138038400?- 3,138,038,400 seconds is equal to 99 years, 40 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 3,138,038,400 would take you about one hundred ninety-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 3138038400 cubic inches would be around 122 feet tall.
Recreational maths with 3138038400
- 3138038400 backwards is 0048308313
- 3138038400 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 3138038400's digits is 30
- More coming soon!
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