130305476400
130,305,476,400 is an even composite number composed of seven prime numbers multiplied together.
130305476400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 130305476400:
24 × 3 × 52 × 11 × 71 × 257 × 541
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 71 × 257 × 541)See below for interesting mathematical facts about the number 130305476400 from the Numbermatics database.
Names of 130305476400
- Cardinal: 130305476400 can be written as One hundred thirty billion, three hundred five million, four hundred seventy-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.303054764 × 1011
Factors of 130305476400
Divisors of 130305476400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 71 75 80 88 100 110 120 132 142 150 165 176 200 213 220 240 257 264 275 284 300 330 355 400 426 440 514 528 541 550 568 600 660 710 771 781 825 852 880 1028 1065 1082 1100 1136 1200 1285 1320 1420 1542 1562 1623 1650 1704 1775 2056 2130 2164 2200 2343 2570 2640 2705 2827 2840 3084 3124 3246 3300 3408 3550 3855 3905 4112 4260 4328 4400 4686 5140 5325 5410 5654 5680 5951 6168 6248 6425 6492 6600 7100 7710 7810 8115 8481 8520 8656 9372 10280 10650 10820 11308 11715 11902 12336 12496 12850 12984 13200 13525 14135 14200 15420 15620 16230 16962 17040 17853 18247 18744 19275 19525 20560 21300 21640 22616 23430 23804 25700 25968 27050 28270 28400 29755 30840 31240 32460 33924 35706 36494 37488 38411 38550 39050 40575 42405 42600 43280 45232 46860 47608 51400 54100 54741 56540 58575 59510 61680 62480 64920 67848 70675 71412 72988 76822 77100 78100 81150 84810 85200 89265 91235 93720 95216 102800 108200 109482 113080 115233 117150 119020 129840 135696 139037 141350 142824 145976 148775 153644 154200 156200 162300 169620 178530 182470 187440 192055 200717 212025 216400 218964 226160 230466 234300 238040 273705 278074 282700 285648 291952 297550 307288 308400 312400 324600 339240 357060 364940 384110 401434 417111 422521 424050 437928 446325 456175 460932 468600 476080 547410 556148 565400 576165 595100 602151 614576 649200 678480 695185 714120 729880 768220 802868 834222 845042 848100 875856 892650 912350 921864 937200 960275 1003585 1094820 1112296 1130800 1152330 1190200 1204302 1267563 1368525 1390370 1428240 1459760 1529407 1536440 1605736 1668444 1690084 1696200 1785300 1824700 1843728 1920550 2007170 2085555 2112605 2189640 2224592 2304660 2380400 2408604 2535126 2737050 2780740 2880825 3010755 3058814 3072880 3211472 3336888 3380168 3392400 3475925 3570600 3649400 3841100 4014340 4171110 4225210 4379280 4588221 4609320 4817208 5017925 5070252 5474100 5561480 5761650 6021510 6117628 6337815 6673776 6760336 6951850 7141200 7298800 7647035 7682200 8028680 8342220 8450420 9176442 9218640 9634416 9871627 10035850 10140504 10427775 10563025 10948200 11122960 11523300 12043020 12235256 12675630 13903700 15053775 15294070 15364400 16057360 16684440 16900840 18352884 19743254 20071700 20281008 20855550 21126050 21896400 22941105 23046600 24086040 24470512 25351260 27807400 29614881 30107550 30588140 31689075 33368880 33801680 36705768 38235175 39486508 40143400 41711100 42252100 45882210 46093200 48172080 49358135 50702520 55614800 59229762 60215100 61176280 63378150 73411536 76470350 78973016 80286800 83422200 84504200 91764420 98716270 101405040 108587897 114705525 118459524 120430200 122352560 126756300 148074405 152940700 157946032 166844400 169008400 183528840 197432540 217175794 229411050 236919048 240860400 246790675 253512600 296148810 305881400 325763691 367057680 394865080 434351588 458822100 473838096 493581350 507025200 542939485 592297620 611762800 651527382 740372025 789730160 868703176 917644200 987162700 1085878970 1184595240 1303054764 1480744050 1628818455 1737406352 1835288400 1974325400 2171757940 2369190480 2606109528 2714697425 2961488100 3257636910 3948650800 4343515880 5212219056 5429394850 5922976200 6515273820 8144092275 8687031760 10858789700 11845952400 13030547640 16288184550 21717579400 26061095280 32576369100 43435158800 65152738200 130305476400
- Sum of all divisors σ(n): 464425560576
- Sum of proper divisors (its aliquot sum) s(n): 334120084176
- 130305476400 is an abundant number, because the sum of its proper divisors (334120084176) is greater than itself. Its abundance is 203814607776
Bases of 130305476400
- Binary: 11110010101101100111111000111001100002
- Hexadecimal: 0x1E56CFC730
- Base-36: 1NV0IL2O
Squares and roots of 130305476400
- 130305476400 squared (1303054764002) is 16979517179830956960000
- 130305476400 cubed (1303054764003) is 2212524075159857318140695744000000
-
The
square root of 130305476400 is 360978.4985286519 -
The
cube root of 130305476400 is 5069.7618163221
Scales and comparisons
How big is 130305476400?- 130,305,476,400 seconds is equal to 4,143 years, 16 weeks, 1 day, 5 hours, 40 minutes.
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To count from 1 to 130,305,476,400 would take you about eight thousand, two hundred eighty-six 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 130305476400 cubic inches would be around 422.5 feet tall.
Recreational maths with 130305476400
- 130305476400 backwards is 004674503031
- 130305476400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 130305476400's digits is 33
- More coming soon!
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