40828813845135360
40,828,813,845,135,360 is an even composite number composed of six prime numbers multiplied together.
40828813845135360 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred thirty-six divisors.
Prime factorization of 40828813845135360:
216 × 3 × 5 × 112 × 972 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 97 × 97 × 191 × 191)See below for interesting mathematical facts about the number 40828813845135360 from the Numbermatics database.
Names of 40828813845135360
- Cardinal: 40828813845135360 can be written as Forty quadrillion, eight hundred twenty-eight trillion, eight hundred thirteen billion, eight hundred forty-five million, one hundred thirty-five thousand, three hundred sixty.
Scientific notation
- Scientific notation: 4.082881384513536 × 1016
Factors of 40828813845135360
Divisors of 40828813845135360
- Number of divisors d(n): 1836
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 97 110 120 121 128 132 160 165 176 191 192 194 220 240 242 256 264 291 320 330 352 363 382 384 388 440 480 484 485 512 528 573 582 605 640 660 704 726 764 768 776 880 955 960 968 970 1024 1056 1067 1146 1164 1210 1280 1320 1408 1452 1455 1528 1536 1552 1760 1815 1910 1920 1936 1940 2048 2101 2112 2134 2292 2328 2420 2560 2640 2816 2865 2904 2910 3056 3072 3104 3201 3520 3630 3820 3840 3872 3880 4096 4202 4224 4268 4584 4656 4840 5120 5280 5335 5632 5730 5808 5820 6112 6144 6208 6303 6402 7040 7260 7640 7680 7744 7760 8192 8404 8448 8536 9168 9312 9409 9680 10240 10505 10560 10670 11264 11460 11616 11640 11737 12224 12288 12416 12606 12804 14080 14520 15280 15360 15488 15520 16005 16384 16808 16896 17072 18336 18527 18624 18818 19360 20480 21010 21120 21340 22528 22920 23111 23232 23280 23474 24448 24576 24832 25212 25608 28160 28227 29040 30560 30720 30976 31040 31515 32010 32768 33616 33792 34144 35211 36481 36672 37054 37248 37636 38720 40960 42020 42240 42680 45056 45840 46222 46464 46560 46948 47045 48896 49152 49664 50424 51216 55581 56320 56454 58080 58685 61120 61440 61952 62080 63030 64020 65536 67232 67584 68288 69333 70422 72962 73344 74108 74496 75272 77440 81920 84040 84480 85360 90112 91680 92444 92635 92928 93120 93896 94090 97792 98304 99328 100848 102432 103499 109443 111162 112640 112908 115555 116160 117370 122240 122880 123904 124160 126060 128040 134464 135168 136576 138666 140844 141135 145924 146688 148216 148992 150544 154880 163840 168080 168960 170720 176055 180224 182405 183360 184888 185270 185856 186240 187792 188180 195584 196608 198656 201696 203797 204864 206998 218886 222324 225280 225816 231110 232320 234740 244480 245760 247808 248320 252120 256080 268928 270336 273152 277332 277905 281688 282270 291848 293376 296432 297984 301088 309760 310497 327680 336160 337920 341440 346665 352110 360448 364810 366720 369776 370540 371712 372480 375584 376360 391168 397312 401291 403392 407594 409728 413996 437772 444648 450560 451632 462220 464640 469480 488960 491520 495616 496640 504240 512160 517495 537856 540672 546304 547215 554664 555810 563376 564540 583696 586752 592864 595968 602176 611391 619520 620994 672320 675840 682880 693330 704220 720896 729620 733440 739552 741080 743424 744960 751168 752720 782336 794624 802582 806784 815188 819456 827992 875544 889296 901120 903264 924440 929280 938960 977920 983040 991232 993280 1008480 1018985 1024320 1034990 1075712 1081344 1092608 1094430 1109328 1111620 1126752 1129080 1138489 1167392 1173504 1185728 1191936 1203873 1204352 1222782 1239040 1241988 1344640 1351680 1365760 1386660 1408440 1459240 1466880 1479104 1482160 1486848 1489920 1502336 1505440 1552485 1564672 1589248 1605164 1613568 1630376 1638912 1655984 1751088 1778592 1797119 1802240 1806528 1848880 1858560 1877920 1955840 1982464 1986560 2006455 2016960 2037970 2048640 2069980 2151424 2162688 2185216 2188860 2218656 2223240 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347864137728 351487722496 353327972352 361611345920 362471713824 367291105280 373060075520 394485104640 398594324480 404854968320 411050397120 415332172090 417506686080 433933615104 434830172160 438453756928 439359653120 440749326336 441659965440 445340465152 453089642280 478313189376 483295618432 485825961984 498398606508 527231583744 542417018880 548067196160 550936657920 556675581440 559590113280 579773562880 588879953920 597891486720 604119523040 607282452480 622998258135 637750919168 647767949312 657680635392 659039479680 664531475344 668010697728 695728275456 702975444992 723222691840 724943427648 734582210560 797188648960 809709936640 822100794240 830664344180 835013372160 867867230208 869660344320 876907513856 878719306240 883319930880 890680930304 906179284560 956626378752 966591236864 971651923968 996797213016 1054463167488 1084834037760 1096134392320 1101873315840 1113351162880 1119180226560 1159547125760 1195782973440 1208239046080 1214564904960 1245996516270 1275501838336 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6680106977280 7015260110848 7029754449920 7125447442432 7249434276480 7653011030016 7732729894912 7974377704128 8435705339904 8769075138560 8906809303040 9566263787520 9665912368640 9716519239680 9967972130160 10522890166272 10544631674880 10632503605504 10688171163648 11247607119872 11599094842368 12755018383360 13153612707840 13290629506880 13360213954560 14030520221696 14059508899840 14250894884864 14498868552960 15465459789824 15948755408256 16871410679808 17538150277120 17813618606080 19132527575040 19331824737280 19433038479360 19935944260320 21045780332544 21089263349760 21265007211008 21376342327296 22495214239744 23198189684736 26307225415680 26581259013760 26720427909120 28061040443392 28119017799680 28997737105920 30930919579648 31897510816512 33742821359616 35076300554240 35627237212160 38265055150080 38663649474560 39871888520640 42091560665088 42178526699520 42530014422016 42752684654592 46396379369472 52614450831360 53162518027520 53440855818240 56238035599360 57995474211840 61861839159296 63795021633024 67485642719232 70152601108480 71254474424320 77327298949120 79743777041280 84183121330176 84357053399040 85060028844032 92792758738944 105228901662720 106325036055040 106881711636480 112476071198720 115990948423680 123723678318592 127590043266048 140305202216960 154654597898240 159487554082560 168714106798080 170120057688064 185585517477888 210457803325440 212650072110080 213763423272960 231981896847360 247447356637184 255180086532096 309309195796480 318975108165120 337428213596160 340240115376128 371171034955776 420915606650880 425300144220160 463963793694720 510360173064192 618618391592960 637950216330240 680480230752256 742342069911552 850600288440320 927927587389440 1020720346128384 1237236783185920 1275900432660480 1360960461504512 1701200576880640 1855855174778880 2041440692256768 2551800865320960 2721920923009024 3402401153761280 3711710349557760 4082881384513536 5103601730641920 6804802307522560 8165762769027072 10207203461283840 13609604615045120 20414406922567680 40828813845135360
- Sum of all divisors σ(n): 145867798324691352
- Sum of proper divisors (its aliquot sum) s(n): 105038984479555992
- 40828813845135360 is an abundant number, because the sum of its proper divisors (105038984479555992) is greater than itself. Its abundance is 64210170634420632
Bases of 40828813845135360
- Binary: 100100010000110110010111000000011101011100000000000000002
- Hexadecimal: 0x910D9701D70000
- Base-36: B60LU56NQIO
Squares and roots of 40828813845135360
- 40828813845135360 squared (408288138451353602) is 1666992040000716860509136722329600
- 40828813845135360 cubed (408288138451353603) is 68061307682511706406814872191887209880046534656000
-
The
square root of 40828813845135360 is 202061411.0738004323 -
The
cube root of 40828813845135360 is 344341.1463977713
Scales and comparisons
How big is 40828813845135360?- 40,828,813,845,135,360 seconds is equal to 1,298,229,988 years, 24 weeks, 4 hours, 16 minutes.
-
To count from 1 to 40,828,813,845,135,360 would take you about three billion, eight hundred ninety-four million, six hundred eighty-nine thousand, nine hundred sixty-five 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 40828813845135360 cubic inches would be around 28695.1 feet tall.
Recreational maths with 40828813845135360
- 40828813845135360 backwards is 06353154831882804
- The number of decimal digits it has is: 17
- The sum of 40828813845135360's digits is 69
- More coming soon!
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"Number 40828813845135360 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 40828813845135360 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/40828813845135360/
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Numbermatics. 2024. "Number 40828813845135360 - Facts about the integer". https://numbermatics.com/n/40828813845135360/
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