2629428950400
2,629,428,950,400 is an even composite number composed of seven prime numbers multiplied together.
2629428950400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 2629428950400:
27 × 3 × 52 × 7 × 17 × 281 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 281 × 8191)See below for interesting mathematical facts about the number 2629428950400 from the Numbermatics database.
Names of 2629428950400
- Cardinal: 2629428950400 can be written as Two trillion, six hundred twenty-nine billion, four hundred twenty-eight million, nine hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 2.6294289504 × 1012
Factors of 2629428950400
Divisors of 2629428950400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 128 136 140 150 160 168 170 175 192 200 204 210 224 238 240 255 272 280 281 300 320 336 340 350 357 384 400 408 420 425 448 476 480 510 525 544 560 562 595 600 640 672 680 700 714 800 816 840 843 850 896 952 960 1020 1050 1088 1120 1124 1190 1200 1275 1344 1360 1400 1405 1428 1600 1632 1680 1686 1700 1785 1904 1920 1967 2040 2100 2176 2240 2248 2380 2400 2550 2688 2720 2800 2810 2856 2975 3200 3264 3360 3372 3400 3570 3808 3934 4080 4200 4215 4480 4496 4760 4777 4800 5100 5440 5600 5620 5712 5901 5950 6528 6720 6744 6800 7025 7140 7616 7868 8160 8191 8400 8430 8925 8992 9520 9554 9600 9835 10200 10880 11200 11240 11424 11802 11900 13440 13488 13600 14050 14280 14331 15232 15736 16320 16382 16800 16860 17850 17984 19040 19108 19670 20400 21075 22400 22480 22848 23604 23800 23885 24573 26976 27200 28100 28560 28662 29505 31472 32640 32764 33439 33600 33720 35700 35968 38080 38216 39340 40800 40955 42150 44960 45696 47208 47600 47770 49146 49175 53952 54400 56200 57120 57324 57337 59010 62944 65528 66878 67200 67440 71400 71655 76160 76432 78680 81600 81910 84300 89920 94416 95200 95540 98292 98350 100317 107904 112400 114240 114648 114674 118020 119425 122865 125888 131056 133756 134880 139247 142800 143310 147525 152864 157360 163200 163820 167195 168600 172011 179840 188832 190400 191080 196584 196700 200634 204775 224800 228480 229296 229348 236040 238850 245730 251776 262112 267512 269760 278494 285600 286620 286685 295050 305728 314720 327640 334390 337200 344022 358275 377664 380800 382160 393168 393400 401268 409550 417741 449600 458592 458696 472080 477700 491460 501585 524224 535024 539520 556988 571200 573240 573370 590100 611456 614325 629440 655280 668780 674400 688044 696235 716550 755328 764320 786336 786800 802536 819100 835482 835975 860055 899200 917184 917392 944160 955400 974729 982920 1003170 1048448 1070048 1113976 1142400 1146480 1146740 1180200 1228650 1258880 1310560 1337560 1348800 1376088 1392470 1433100 1433425 1528640 1572672 1573600 1605072 1638200 1670964 1671950 1720110 1834368 1834784 1888320 1910800 1949458 1965840 2006340 2088705 2140096 2227952 2292960 2293480 2301671 2360400 2457300 2507925 2621120 2675120 2697600 2752176 2784940 2866200 2866850 2924187 3057280 3145344 3147200 3210144 3276400 3341928 3343900 3440220 3481175 3669568 3776640 3821600 3898916 3931680 4012680 4177410 4280192 4300275 4455904 4585920 4586960 4603342 4720800 4873645 4914600 5015850 5242240 5350240 5504352 5569880 5732400 5733700 5848374 6294400 6420288 6552800 6683856 6687800 6880440 6905013 6962350 7339136 7643200 7797832 7863360 8025360 8354820 8600550 8911808 9171840 9173920 9206684 9441600 9747290 9829200 10031700 10443525 10700480 11008704 11139760 11464800 11467400 11508355 11696748 12840576 13105600 13367712 13375600 13760880 13810026 13924700 14620935 15286400 15595664 15726720 16050720 16111697 16709640 17201100 17823616 18347840 18413368 18883200 19494580 19658400 20063400 20887050 21400960 22017408 22279520 22929600 22934800 23016710 23393496 24368225 26211200 26735424 26751200 27521760 27620052 27849400 29241870 31191328 32101440 32223394 33419280 34402200 34525065 36695680 36826736 38989160 39128407 39316800 40126800 41774100 44559040 45859200 45869600 46033420 46786992 48335091 48736450 53470848 53502400 55043520 55240104 55698800 57541775 58483740 62382656 64202880 64446788 66838560 68804400 69050130 73104675 73653472 77978320 78256814 78633600 80253600 80558485 83548200 89118080 91739200 92066840 93573984 96670182 97472900 107004800 110087040 110480208 111397600 115083550 116967480 117385221 124765312 128893576 133677120 137608800 138100260 146209350 147306944 155956640 156513628 160507200 161116970 167096400 172625325 183478400 184133680 187147968 193340364 194945800 195642035 220960416 222795200 230167100 233934960 234770442 241675455 257787152 267354240 273898849 275217600 276200520 292418700 294613888 311913280 313027256 321014400 322233940 334192800 345250650 368267360 374295936 386680728 389891600 391284070 402792425 441920832 445590400 460334200 467869920 469540884 483350910 515574304 547797698 550435200 552401040 584837400 586926105 623826560 626054512 644467880 668385600 690501300 736534720 773361456 779783200 782568140 805584850 821696547 883841664 920668400 935739840 939081768 966701820 978210175 1031148608 1095595396 1104802080 1169674800 1173852210 1208377275 1252109024 1288935760 1336771200 1369494245 1381002600 1473069440 1546722912 1559566400 1565136280 1611169700 1643393094 1841336800 1871479680 1878163536 1933403640 1956420350 2062297216 2191190792 2209604160 2339349600 2347704420 2416754550 2504218048 2577871520 2738988490 2762005200 2934630525 3093445824 3119132800 3130272560 3222339400 3286786188 3682673600 3756327072 3866807280 3912840700 4108482735 4382381584 4419208320 4678699200 4695408840 4833509100 5008436096 5155743040 5477976980 5524010400 5869261050 6186891648 6260545120 6444678800 6573572376 6847471225 7365347200 7512654144 7733614560 7825681400 8216965470 8764763168 9357398400 9390817680 9667018200 10311486080 10955953960 11048020800 11738522100 12521090240 12889357600 13147144752 13694942450 15025308288 15467229120 15651362800 16433930940 17529526336 18781635360 19334036400 20542413675 21911907920 22096041600 23477044200 25042180480 25778715200 26294289504 27389884900 30934458240 31302725600 32867861880 35059052672 37563270720 38668072800 41084827350 43823815840 46954088400 51557430400 52588579008 54779769800 62605451200 65735723760 75126541440 77336145600 82169654700 87647631680 93908176800 105177158016 109559539600 125210902400 131471447520 154672291200 164339309400 175295263360 187816353600 219119079200 262942895040 328678618800 375632707200 438238158400 525885790080 657357237600 876476316800 1314714475200 2629428950400
- Sum of all divisors σ(n): 10518732472320
- Sum of proper divisors (its aliquot sum) s(n): 7889303521920
- 2629428950400 is an abundant number, because the sum of its proper divisors (7889303521920) is greater than itself. Its abundance is 5259874571520
Bases of 2629428950400
- Binary: 1001100100001101100010110110110101100000002
- Hexadecimal: 0x264362DB580
- Base-36: XJXY3UYO
Squares and roots of 2629428950400
- 2629428950400 squared (26294289504002) is 6913896605201645660160000
- 2629428950400 cubed (26294289504003) is 18179599893789486328547223896064000000
-
The
square root of 2629428950400 is 1621551.4023304965 -
The
cube root of 2629428950400 is 13802.3747058087
Scales and comparisons
How big is 2629428950400?- 2,629,428,950,400 seconds is equal to 83,607 years, 36 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 2,629,428,950,400 would take you about two hundred nine thousand and nineteen 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 2629428950400 cubic inches would be around 1150.2 feet tall.
Recreational maths with 2629428950400
- 2629428950400 backwards is 0040598249262
- 2629428950400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2629428950400's digits is 51
- More coming soon!
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