38628992475373048320
38,628,992,475,373,048,320 is an even composite number composed of eight prime numbers multiplied together.
38628992475373048320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 38628992475373048320:
29 × 3 × 5 × 112 × 13 × 19 × 31 × 5428853767
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 19 × 31 × 5428853767)See below for interesting mathematical facts about the number 38628992475373048320 from the Numbermatics database.
Names of 38628992475373048320
- Cardinal: 38628992475373048320 can be written as Thirty-eight quintillion, six hundred twenty-eight quadrillion, nine hundred ninety-two trillion, four hundred seventy-five billion, three hundred seventy-three million, forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.862899247537304832 × 1019
Factors of 38628992475373048320
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 5428853851
Divisors of 38628992475373048320
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 31 32 33 38 39 40 44 48 52 55 57 60 62 64 65 66 76 78 80 88 93 95 96 104 110 114 120 121 124 128 130 132 143 152 155 156 160 165 176 186 190 192 195 208 209 220 228 240 242 247 248 256 260 264 285 286 304 310 312 320 330 341 352 363 372 380 384 390 403 416 418 429 440 456 465 480 484 494 496 512 520 528 570 572 589 605 608 620 624 627 640 660 682 704 715 726 741 744 760 768 780 806 832 836 858 880 912 930 960 968 988 992 1023 1040 1045 1056 1140 1144 1178 1209 1210 1216 1235 1240 1248 1254 1280 1320 1364 1408 1430 1452 1482 1488 1520 1536 1560 1573 1612 1664 1672 1705 1716 1760 1767 1815 1824 1860 1920 1936 1976 1984 2015 2046 2080 2090 2112 2145 2280 2288 2299 2356 2418 2420 2432 2470 2480 2496 2508 2560 2640 2717 2728 2816 2860 2904 2945 2964 2976 3040 3120 3135 3146 3224 3328 3344 3410 3432 3520 3534 3630 3648 3705 3720 3751 3840 3872 3952 3968 4030 4092 4160 4180 4224 4290 4433 4560 4576 4598 4712 4719 4836 4840 4864 4940 4960 4992 5016 5115 5280 5434 5456 5632 5720 5808 5890 5928 5952 6045 6080 6240 6270 6292 6448 6479 6656 6688 6820 6864 6897 7040 7068 7260 7296 7410 7440 7502 7657 7680 7744 7865 7904 7936 8060 8151 8184 8320 8360 8448 8580 8835 8866 9120 9152 9196 9424 9438 9672 9680 9728 9880 9920 9984 10032 10230 10560 10868 10912 11253 11440 11495 11616 11780 11856 11904 12090 12160 12480 12540 12584 12896 12958 13299 13376 13585 13640 13728 13794 14080 14136 14520 14592 14820 14880 15004 15314 15488 15730 15808 15872 16120 16302 16368 16640 16720 16896 17160 17670 17732 18240 18304 18392 18755 18848 18876 19344 19360 19437 19760 19840 19968 20064 20460 21120 21736 21824 22165 22506 22880 22971 22990 23232 23560 23595 23712 23808 24180 24320 24960 25080 25168 25792 25916 26598 26752 27170 27280 27456 27588 28160 28272 29040 29184 29640 29760 29887 30008 30628 30976 31460 31616 32240 32395 32604 32736 33280 33440 34320 34485 35340 35464 36480 36608 36784 37510 37696 37752 38285 38688 38720 38874 39520 39680 40128 40755 40920 42240 43472 43648 44330 45012 45760 45942 45980 46464 47120 47190 47424 47616 48360 48640 48763 49920 50160 50336 51584 51832 53196 53504 54340 54560 54912 55176 56265 56544 58080 59280 59520 59774 60016 61256 61952 62920 63232 64480 64790 65208 65472 66495 66880 68640 68970 70680 70928 71269 72960 73216 73568 75020 75392 75504 76570 77376 77440 77748 79040 79360 80256 81510 81840 84227 84480 86944 87296 88660 89661 90024 91520 91884 91960 92928 94240 94380 94848 96720 97185 97526 99840 100320 100672 103168 103664 106392 107008 108680 109120 109824 110352 112530 113088 114855 116160 118560 119040 119548 120032 122512 125840 126464 128960 129580 130416 130944 132990 133760 137280 137940 141360 141856 142538 145920 146289 147136 149435 150040 150784 151008 153140 154752 154880 155496 158080 160512 163020 163680 168454 173888 174592 177320 179322 180048 183040 183768 183920 185856 188480 188760 189696 193440 194370 195052 200640 201344 206336 207328 212784 213807 217360 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11551732199573280 11607269373609690 11981697417919680 12278764296049920 12321847679544832 12381087331850336 12706905419530608 12980172202746320 13032723507210880 13116805594354176 13301994654054080 13506640725654912 13717681986993270 14160187857541440 14217516553320960 14632194119459488 15089450185692597 15402309599431040 15476359164812920 15576206643295584 15639268208653056 15883631774413260 15962393584864896 15975596557226240 16396006992942720 16802519563015680 16883300907068640 16942540559374144 18008854300873216 18290242649324360 18482771519317248 18571630997775504 18880250476721920 19170715868671488 19470258304119480 19549085260816320 19952991981081120 20119266914256796 20768275524394112 21178175699217680 21283191446486528 21861342657256960 21948291179189232 22511067876091520 22656300572066304 23103464399146560 23214538747219380 23963394835839360 24557528592099840 24762174663700672 25149083642820995 25413810839061216 25960344405492640 26065447014421760 26603989308108160 27013281451309824 27435363973986540 28320375715082880 29264388238918976 30178900371385194 30804619198862080 30952718329625840 31152413286591168 31278536417306112 31767263548826520 31924787169729792 31951193114452480 32792013985885440 33766601814137280 33885081118748288 36580485298648720 36965543038634496 37143261995551008 37760500953443840 38940516608238960 39098170521632640 39905983962162240 40238533828513592 41536551048788224 42356351398435360 43896582358378464 45022135752183040 46206928798293120 46429077494438760 47926789671678720 49524349327401344 50298167285641990 50827621678122432 51920688810985280 52130894028843520 53207978616216320 54026562902619648 54870727947973080 56640751430165760 58528776477837952 60357800742770388 61609238397724160 61905436659251680 62304826573182336 63534527097653040 63849574339459584 65584027971770880 67533203628274560 67770162237496576 73160970597297440 74286523991102016 75447250928462985 77881033216477920 78196341043265280 79811967924324480 80477067657027184 83073102097576448 84712702796870720 87793164716756928 90044271504366080 92413857596586240 92858154988877520 95853579343357440 99048698654802688 100596334571283980 101655243356244864 103841377621970560 106415957232432640 109741455895946160 113281502860331520 117057552955675904 120715601485540776 123810873318503360 124609653146364672 127069054195306080 135066407256549120 135540324474993152 146321941194594880 148573047982204032 150894501856925970 155762066432955840 156392682086530560 159623935848648960 160954135314054368 169425405593741440 175586329433513856 184827715193172480 185716309977755040 198097397309605376 201192669142567960 203310486712489728 207682755243941120 219482911791892320 234115105911351808 241431202971081552 247621746637006720 249219306292729344 254138108390612160 270132814513098240 292643882389189760 297146095964408064 301789003713851940 311524132865911680 319247871697297920 321908270628108736 338850811187482880 351172658867027712 371432619955510080 402385338285135920 406620973424979456 415365510487882240 438965823583784640 482862405942163104 495243493274013440 508276216781224320 585287764778379520 594292191928816128 603578007427703880 623048265731823360 643816541256217472 677701622374965760 702345317734055424 742865239911020160 804770676570271840 877931647167569280 965724811884326208 990486986548026880 1016552433562448640 1170575529556759040 1207156014855407760 1246096531463646720 1287633082512434944 1485730479822040320 1609541353140543680 1755863294335138560 1931449623768652416 2033104867124897280 2414312029710815520 2575266165024869888 2971460959644080640 3219082706281087360 3511726588670277120 3862899247537304832 4828624059421631040 6438165412562174720 7725798495074609664 9657248118843262080 12876330825124349440 19314496237686524160 38628992475373048320
- Sum of all divisors σ(n): 158838094962959892480
- Sum of proper divisors (its aliquot sum) s(n): 120209102487586844160
- 38628992475373048320 is an abundant number, because the sum of its proper divisors (120209102487586844160) is greater than itself. Its abundance is 81580110012213795840
Bases of 38628992475373048320
- Binary: 1000011000000101011011111111111101101111011101100100010010000000002
- Hexadecimal: 0x21815BFFDBDD91200
- Base-36: 85HGIZY13HSLC
Squares and roots of 38628992475373048320
- 38628992475373048320 squared (386289924753730483202) is 1492199059662427587117321949049054822400
- 38628992475373048320 cubed (386289924753730483203) is 57642146247458653655300084890464042736343936939084218368000
-
The
square root of 38628992475373048320 is 6215222640.8531052975 -
The
cube root of 38628992475373048320 is 3380423.6154101127
Scales and comparisons
How big is 38628992475373048320?- 38,628,992,475,373,048,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 38,628,992,475,373,048,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 38628992475373048320 cubic inches would be around 281702 feet tall.
Recreational maths with 38628992475373048320
- 38628992475373048320 backwards is 02384037357429982683
- 38628992475373048320 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 38628992475373048320's digits is 93
- More coming soon!
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"Number 38628992475373048320 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 38628992475373048320 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/38628992475373048320/
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Numbermatics. 2024. "Number 38628992475373048320 - Facts about the integer". https://numbermatics.com/n/38628992475373048320/
The information we have on file for 38628992475373048320 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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