34143457920
34,143,457,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34143457920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
34143457920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 34143457920:
27 × 3 × 5 × 11 × 13 × 37 × 3361
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 37 × 3361)See below for interesting mathematical facts about the number 34143457920 from the Numbermatics database.
Names of 34143457920
- Cardinal: 34143457920 can be written as Thirty-four billion, one hundred forty-three million, four hundred fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.414345792 × 1010
Factors of 34143457920
Divisors of 34143457920
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 37 39 40 44 48 52 55 60 64 65 66 74 78 80 88 96 104 110 111 120 128 130 132 143 148 156 160 165 176 185 192 195 208 220 222 240 260 264 286 296 312 320 330 352 370 384 390 407 416 429 440 444 480 481 520 528 555 572 592 624 640 660 704 715 740 780 814 832 858 880 888 960 962 1040 1056 1110 1144 1184 1221 1248 1320 1408 1430 1443 1480 1560 1628 1664 1716 1760 1776 1920 1924 2035 2080 2112 2145 2220 2288 2368 2405 2442 2496 2640 2860 2886 2960 3120 3256 3361 3432 3520 3552 3848 4070 4160 4224 4290 4440 4576 4736 4810 4884 4992 5280 5291 5720 5772 5920 6105 6240 6512 6722 6864 7040 7104 7215 7696 8140 8320 8580 8880 9152 9620 9768 10083 10560 10582 11440 11544 11840 12210 12480 13024 13444 13728 14208 14430 15392 15873 16280 16805 17160 17760 18304 19240 19536 20166 21120 21164 22880 23088 23680 24420 24960 26048 26455 26888 27456 28860 30784 31746 32560 33610 34320 35520 36971 38480 39072 40332 42328 43693 45760 46176 48840 50415 52096 52910 53776 54912 57720 61568 63492 65120 67220 68640 71040 73942 76960 78144 79365 80664 84656 87386 91520 92352 97680 100830 105820 107552 110913 115440 124357 126984 130240 131079 134440 137280 147884 153920 156288 158730 161328 169312 174772 184704 184855 195360 201660 211640 215104 218465 221826 230880 248714 253968 260480 262158 268880 274560 295768 307840 317460 322656 338624 349544 369710 373071 390720 403320 423280 430208 436930 443652 461760 480623 497428 507936 524316 537760 554565 591536 621785 634920 645312 655395 677248 699088 739420 746142 781440 806640 846560 873860 887304 923520 961246 994856 1015872 1048632 1075520 1109130 1183072 1243570 1269840 1290624 1310790 1367927 1398176 1441869 1478840 1492284 1613280 1616641 1693120 1747720 1774608 1865355 1922492 1989712 2031744 2097264 2151040 2218260 2366144 2403115 2487140 2539680 2621580 2735854 2796352 2883738 2957680 2984568 3226560 3233282 3386240 3495440 3549216 3730710 3844984 3979424 4103781 4194528 4436520 4732288 4806230 4849923 4974280 5079360 5243160 5471708 5592704 5767476 5915360 5969136 6453120 6466564 6839635 6990880 7098432 7209345 7461420 7689968 7958848 8083205 8207562 8389056 8873040 9612460 9699846 9948560 10158720 10486320 10943416 11534952 11830720 11938272 12933128 13679270 13981760 14196864 14418690 14922840 15379936 15917696 16166410 16415124 16778112 17746080 17783051 19224920 19399692 19897120 20518905 20972640 21886832 23069904 23661440 23876544 24249615 25866256 27358540 27963520 28837380 29845680 30759872 32332820 32830248 35492160 35566102 38449840 38799384 39794240 41037810 41945280 43773664 46139808 47753088 48499230 51732512 53349153 54717080 57674760 59691360 61519744 64665640 65660496 70984320 71132204 76899680 77598768 79588480 82075620 83890560 87547328 88915255 92279616 96998460 103465024 106698306 109434160 115349520 119382720 129331280 131320992 142264408 153799360 155197536 164151240 175094656 177830510 184559232 193996920 206930048 213396612 218868320 230699040 238765440 258662560 262641984 266745765 284528816 307598720 310395072 328302480 355661020 387993840 426793224 437736640 461398080 517325120 525283968 533491530 569057632 620790144 656604960 711322040 775987680 853586448 875473280 922796160 1034650240 1066983060 1138115264 1313209920 1422644080 1551975360 1707172896 2133966120 2276230528 2626419840 2845288160 3103950720 3414345792 4267932240 5690576320 6828691584 8535864480 11381152640 17071728960 34143457920
- Sum of all divisors σ(n): 131353608960
- Sum of proper divisors (its aliquot sum) s(n): 97210151040
- 34143457920 is an abundant number, because the sum of its proper divisors (97210151040) is greater than itself. Its abundance is 63066693120
Bases of 34143457920
- Binary: 111111100110001101111010010100000002
- Hexadecimal: 0x7F31BD280
- Base-36: FOO4SQO
Squares and roots of 34143457920
- 34143457920 squared (341434579202) is 1165775718734810726400
- 34143457920 cubed (341434579203) is 39803614196779765676003033088000
-
The
square root of 34143457920 is 184779.4845755339 -
The
cube root of 34143457920 is 3244.1617606269
Scales and comparisons
How big is 34143457920?- 34,143,457,920 seconds is equal to 1,085 years, 34 weeks, 21 hours, 52 minutes.
-
To count from 1 to 34,143,457,920 would take you about two thousand, one hundred seventy-one 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 34143457920 cubic inches would be around 270.3 feet tall.
Recreational maths with 34143457920
- 34143457920 backwards is 02975434143
- The number of decimal digits it has is: 11
- The sum of 34143457920's digits is 42
- More coming soon!
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