146380105664400
146,380,105,664,400 is an even composite number composed of seven prime numbers multiplied together.
146380105664400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 146380105664400:
24 × 3 × 52 × 19 × 31 × 127 × 12772
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 31 × 127 × 1277 × 1277)See below for interesting mathematical facts about the number 146380105664400 from the Numbermatics database.
Names of 146380105664400
- Cardinal: 146380105664400 can be written as One hundred forty-six trillion, three hundred eighty billion, one hundred five million, six hundred sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.463801056644 × 1014
Factors of 146380105664400
Divisors of 146380105664400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 31 38 40 48 50 57 60 62 75 76 80 93 95 100 114 120 124 127 150 152 155 186 190 200 228 240 248 254 285 300 304 310 372 380 381 400 456 465 475 496 508 570 589 600 620 635 744 760 762 775 912 930 950 1016 1140 1178 1200 1240 1270 1277 1425 1488 1520 1524 1550 1767 1860 1900 1905 2032 2280 2325 2356 2413 2480 2540 2554 2850 2945 3048 3100 3175 3534 3720 3800 3810 3831 3937 4560 4650 4712 4826 5080 5108 5700 5890 6096 6200 6350 6385 7068 7239 7440 7600 7620 7662 7874 8835 9300 9424 9525 9652 10160 10216 11400 11780 11811 12065 12400 12700 12770 14136 14478 14725 15240 15324 15748 17670 18600 19050 19155 19304 19685 20432 22800 23560 23622 24130 24263 25400 25540 28272 28956 29450 30480 30648 31496 31925 35340 36195 37200 38100 38310 38608 39370 39587 44175 47120 47244 48260 48526 50800 51080 57912 58900 59055 60325 61296 62992 63850 70680 72390 72789 74803 76200 76620 78740 79174 88350 94488 95775 96520 97052 98425 102160 115824 117800 118110 118761 120650 121315 127700 141360 144780 145578 149606 152400 153240 157480 158348 162179 176700 180975 188976 191550 193040 194104 196850 197935 224409 235600 236220 237522 241300 242630 255400 289560 291156 295275 299212 306480 314960 316696 324358 353400 361950 363945 374015 383100 388208 393700 395870 448818 472440 475044 482600 485260 486537 510800 579120 582312 590550 593805 598424 606575 633392 648716 706800 723900 727890 748030 752153 766200 787400 791740 810895 897636 944880 950088 965200 970520 973074 989675 1122045 1164624 1181100 1187610 1196848 1213150 1297432 1447800 1455780 1496060 1504306 1532400 1574800 1583480 1621790 1630729 1795272 1819725 1870075 1900176 1941040 1946148 1979350 2244090 2256459 2362200 2375220 2426300 2432685 2594864 2895600 2911560 2969025 2992120 3008612 3081401 3166960 3243580 3261458 3590544 3639450 3740150 3760765 3892296 3958700 4054475 4488180 4512918 4724400 4750440 4852600 4865370 4892187 5027549 5610225 5823120 5938050 5984240 6017224 6162802 6487160 6522916 7278900 7480300 7521530 7784592 7917400 8108950 8153645 8976360 9025836 9244203 9500880 9705200 9730740 9784374 10055098 11220450 11282295 11876100 12034448 12163425 12325604 12974320 13045832 14557800 14960600 15043060 15082647 15407005 15834800 16217900 16307290 17952720 18051672 18488406 18803825 19461480 19568748 20110196 22440900 22564590 23752200 24326850 24460935 24651208 25137745 26091664 29115600 29921200 30086120 30165294 30814010 30983851 32435800 32614580 36103344 36976812 37607650 38922960 39137496 40220392 40768225 44881800 45129180 46221015 47504400 48653700 48921870 49302416 50275490 50552599 56411475 60172240 60330588 61628020 61967702 64871600 65229160 73953624 75215300 75413235 77035025 78274992 80440784 81536450 89763600 90258360 92442030 92951553 95523431 97307400 97843740 100550980 101105198 112822950 120661176 122304675 123256040 123935404 125688725 130458320 147907248 150430600 150826470 151657797 154070050 154919255 163072900 180516720 184884060 185903106 191046862 194614800 195687480 201101960 202210396 207102583 225645900 231105075 241322352 244609350 246512080 247870808 251377450 252762995 286570293 300861200 301652940 303315594 308140100 309838510 326145800 369768120 371806212 377066175 382093724 391374960 402203920 404420792 414205166 451291800 462210150 464757765 477617155 489218700 495741616 502754900 505525990 573140586 603305880 606631188 616280200 619677020 621307749 652291600 739536240 743612424 754132350 758288985 764187448 774596275 808841584 828410332 902583600 924420300 929515530 955234310 960499381 978437400 1005509800 1011051980 1035512915 1146281172 1206611760 1213262376 1232560400 1239354040 1242615498 1263814975 1432851465 1487224848 1508264700 1516577970 1528374896 1549192550 1656820664 1848840600 1859031060 1910468620 1920998762 1956874800 2011019600 2022103960 2071025830 2292562344 2323788825 2388085775 2426524752 2478708080 2485230996 2527629950 2865702930 2881498143 3016529400 3033155940 3098385100 3106538745 3313641328 3697681200 3718062120 3791444925 3820937240 3841997524 3934949077 4044207920 4142051660 4585124688 4647577650 4776171550 4802496905 4970461992 5055259900 5177564575 5731405860 5762996286 6033058800 6066311880 6196770200 6213077490 6420180073 7164257325 7436124240 7582889850 7641874480 7683995048 7869898154 8284103320 9295155300 9552343100 9604993810 9940923984 10110519800 10355129150 11462811720 11525992572 11804847231 12132623760 12393540400 12426154980 12840360146 14328514650 14407490715 15165779700 15367990096 15532693725 15739796308 16568206640 18590310600 19104686200 19209987620 19260540219 19674745385 20221039600 20710258300 22925623440 23051985144 23609694462 24012484525 24852309960 25680720292 28657029300 28814981430 30331559400 31065387450 31479592616 32100900365 37180621200 38209372400 38419975240 38521080438 39349490770 41420516600 46103970288 47219388924 48024969050 49704619920 51361440584 57314058600 57629962860 59024236155 60663118800 62130774900 62959185232 64201800730 72037453575 76839950480 77042160876 78698981540 82841033200 94438777848 96049938100 96302701095 98373726925 102722881168 114628117200 115259925720 118048472310 121983421387 124261549800 128403601460 144074907150 154084321752 157397963080 160504501825 188877555696 192099876200 192605402190 196747453850 230519851440 236096944620 243966842774 248523099600 256807202920 288149814300 295121180775 308168643504 314795926160 321009003650 365950264161 384199752400 385210804380 393494907700 472193889240 481513505475 487933685548 513614405840 576299628600 590242361550 609917106935 642018007300 731900528322 770421608760 786989815400 944387778480 963027010950 975867371096 1152599257200 1180484723100 1219834213870 1284036014600 1463801056644 1540843217520 1573979630800 1829751320805 1926054021900 1951734742192 2360969446200 2439668427740 2568072029200 2927602113288 3049585534675 3659502641610 3852108043800 4721938892400 4879336855480 5855204226576 6099171069350 7319005283220 7704216087600 9148756604025 9758673710960 12198342138700 14638010566440 18297513208050 24396684277400 29276021132880 36595026416100 48793368554800 73190052832200 146380105664400
- Sum of all divisors σ(n): 513919787663360
- Sum of proper divisors (its aliquot sum) s(n): 367539681998960
- 146380105664400 is an abundant number, because the sum of its proper divisors (367539681998960) is greater than itself. Its abundance is 221159576334560
Bases of 146380105664400
- Binary: 1000010100100001110001100011001101000111100100002
- Hexadecimal: 0x8521C6334790
- Base-36: 1FVY3BHNDC
Squares and roots of 146380105664400
- 146380105664400 squared (1463801056644002) is 21427135334320908965427360000
- 146380105664400 cubed (1463801056644003) is 3136506334323293474177510243302737984000000
-
The
square root of 146380105664400 is 12098764.6338128257 -
The
cube root of 146380105664400 is 52702.0309981117
Scales and comparisons
How big is 146380105664400?- 146,380,105,664,400 seconds is equal to 4,654,434 years, 29 weeks, 6 days, 22 hours, 20 minutes.
-
To count from 1 to 146,380,105,664,400 would take you about eleven million, six hundred thirty-six thousand and 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 146380105664400 cubic inches would be around 4391.8 feet tall.
Recreational maths with 146380105664400
- 146380105664400 backwards is 004466501083641
- 146380105664400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146380105664400's digits is 48
- More coming soon!
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