30129590400
30,129,590,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 30129590400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
30129590400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 30129590400:
27 × 3 × 52 × 72 × 132 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 379)See below for interesting mathematical facts about the number 30129590400 from the Numbermatics database.
Names of 30129590400
- Cardinal: 30129590400 can be written as Thirty billion, one hundred twenty-nine million, five hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 3.01295904 × 1010
Factors of 30129590400
Divisors of 30129590400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 128 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 260 273 280 294 300 312 320 325 336 338 350 364 379 384 390 392 400 416 420 448 455 480 490 507 520 525 546 560 588 600 624 637 640 650 672 676 700 728 735 758 780 784 800 832 840 845 896 910 960 975 980 1014 1040 1050 1092 1120 1137 1176 1183 1200 1225 1248 1274 1300 1344 1352 1365 1400 1456 1470 1516 1560 1568 1600 1664 1680 1690 1820 1895 1911 1920 1950 1960 2028 2080 2100 2184 2240 2274 2275 2352 2366 2400 2450 2496 2535 2548 2600 2653 2688 2704 2730 2800 2912 2940 3032 3120 3136 3185 3200 3360 3380 3549 3640 3675 3790 3822 3900 3920 4056 4160 4200 4225 4368 4480 4548 4550 4704 4732 4800 4900 4927 4992 5070 5096 5200 5306 5408 5460 5600 5685 5824 5880 5915 6064 6240 6272 6370 6720 6760 6825 7098 7280 7350 7580 7644 7800 7840 7959 8112 8281 8320 8400 8450 8736 9096 9100 9408 9464 9475 9555 9600 9800 9854 10140 10192 10400 10612 10816 10920 11200 11370 11648 11760 11830 12128 12480 12675 12740 13265 13440 13520 13650 14196 14560 14700 14781 15160 15288 15600 15680 15918 15925 16224 16562 16800 16900 17472 17745 18192 18200 18571 18816 18928 18950 19110 19600 19708 20280 20384 20800 21224 21632 21840 22400 22740 23520 23660 24256 24635 24843 24960 25350 25480 26530 27040 27300 28392 28425 29120 29400 29562 29575 30320 30576 31200 31360 31836 31850 32448 33124 33600 33800 34489 34944 35490 36384 36400 37142 37856 37900 38220 39200 39416 39795 40560 40768 41405 41600 42448 43680 45480 47040 47320 47775 48512 49270 49686 50700 50960 53060 54080 54600 55713 56784 56850 58240 58800 59124 59150 60640 61152 62400 63672 63700 64051 64896 66248 66325 67200 67600 68978 70980 72768 72800 73905 74284 75712 75800 76440 78400 78832 79590 81120 81536 82810 84896 87360 88725 90960 92855 94080 94640 95550 98540 99372 101400 101920 103467 106120 108160 109200 111426 113568 113700 117600 118248 118300 121280 122304 123175 124215 124800 127344 127400 128102 132496 132650 135200 137956 141960 145536 145600 147810 148568 151424 151600 152880 156800 157664 159180 162240 165620 169792 172445 174720 177450 181920 185710 189280 191100 192153 197080 198744 198975 202800 203840 206934 207025 212240 218400 222852 227136 227400 235200 236496 236600 241423 242560 244608 246350 248430 254688 254800 256204 264992 265300 270400 275912 278565 283920 291200 295620 297136 303200 305760 315328 318360 320255 324480 331240 339584 344890 354900 363840 369525 371420 378560 382200 384306 394160 397488 397950 405600 407680 413868 414050 424480 436800 445704 448357 454272 454800 464275 470400 472992 473200 482846 492700 496860 509376 509600 512408 517335 529984 530600 540800 551824 557130 567840 591240 594272 606400 611520 621075 630656 636720 640510 662480 689780 709800 724269 727680 739050 742840 757120 764400 768612 788320 794976 795900 811200 827736 828100 848960 862225 873600 891408 896714 909600 928550 945984 946400 960765 965692 985400 993720 1018752 1019200 1024816 1034670 1059968 1061200 1103648 1114260 1135680 1182480 1188544 1207115 1212800 1223040 1242150 1273440 1281020 1324960 1345071 1379560 1392825 1419600 1448538 1478100 1485680 1528800 1537224 1576640 1589952 1591800 1601275 1622400 1655472 1656200 1697920 1724450 1782816 1793428 1819200 1857100 1891968 1892800 1921530 1931384 1970800 1987440 2038400 2049632 2069340 2122400 2207296 2228520 2241785 2271360 2364960 2377088 2414230 2484300 2546880 2562040 2586675 2649920 2690142 2759120 2785650 2839200 2897076 2956200 2971360 3057600 3074448 3138499 3153280 3179904 3183600 3202550 3310944 3312400 3448900 3565632 3586856 3621345 3638400 3714200 3785600 3843060 3862768 3941600 3974880 4099264 4138680 4244800 4414592 4457040 4483570 4729920 4803825 4828460 4968600 5093760 5124080 5173350 5299840 5380284 5518240 5571300 5678400 5794152 5912400 5942720 6035575 6115200 6148896 6276998 6367200 6405100 6621888 6624800 6725355 6897800 7131264 7173712 7242690 7428400 7686120 7725536 7883200 7949760 8198528 8277360 8489600 8914080 8967140 9415497 9459840 9607650 9656920 9937200 10248160 10346700 10760568 11036480 11142600 11208925 11356800 11588304 11824800 11885440 12071150 12297792 12553996 12734400 12810200 13243776 13249600 13450710 13795600 14347424 14485380 14856800 15372240 15451072 15692495 15766400 15899520 16554720 17828160 17934280 18106725 18830994 19215300 19313840 19874400 20496320 20693400 21521136 22072960 22285200 22417850 23176608 23649600 24142300 24595584 25107992 25468800 25620400 26499200 26901420 27591200 28694848 28970760 29713600 30744480 30902144 31384990 33109440 33626775 35656320 35868560 36213450 37661988 38430600 38627680 39748800 40992640 41386800 43042272 44570400 44835700 46353216 47077485 47299200 48284600 50215984 51240800 53802840 55182400 57389696 57941520 59427200 61488960 62769980 66218880 67253550 71737120 72426900 75323976 76861200 77255360 78462475 79497600 82773600 86084544 89140800 89671400 92706432 94154970 96569200 100431968 102481600 107605680 110364800 115883040 122977920 125539960 134507100 143474240 144853800 150647952 153722400 154510720 156924950 165547200 172169088 178281600 179342800 188309940 193138400 200863936 204963200 215211360 231766080 235387425 251079920 269014200 286948480 289707600 301295904 307444800 313849900 331094400 358685600 376619880 386276800 401727872 430422720 463532160 470774850 502159840 538028400 579415200 602591808 614889600 627699800 717371200 753239760 772553600 860845440 941549700 1004319680 1076056800 1158830400 1205183616 1255399600 1434742400 1506479520 1883099400 2008639360 2152113600 2317660800 2510799200 3012959040 3766198800 4304227200 5021598400 6025918080 7532397600 10043196800 15064795200 30129590400
- Sum of all divisors σ(n): 125334723600
- Sum of proper divisors (its aliquot sum) s(n): 95205133200
- 30129590400 is an abundant number, because the sum of its proper divisors (95205133200) is greater than itself. Its abundance is 65075542800
Bases of 30129590400
- Binary: 111000000111101110100010000100000002
- Hexadecimal: 0x703DD1080
- Base-36: DUADOQO
Squares and roots of 30129590400
- 30129590400 squared (301295904002) is 907792217671772160000
- 30129590400 cubed (301295904003) is 27351407686758136822923264000000
-
The
square root of 30129590400 is 173578.7728957661 -
The
cube root of 30129590400 is 3111.7001625375
Scales and comparisons
How big is 30129590400?- 30,129,590,400 seconds is equal to 958 years, 1 week, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 30,129,590,400 would take you about one thousand, nine hundred sixteen 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 30129590400 cubic inches would be around 259.3 feet tall.
Recreational maths with 30129590400
- 30129590400 backwards is 00409592103
- The number of decimal digits it has is: 11
- The sum of 30129590400's digits is 33
- More coming soon!
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The information we have on file for 30129590400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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