136948731601920
136,948,731,601,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 136948731601920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 792 divisors.
136948731601920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 136948731601920:
210 × 3 × 5 × 7 × 892 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 89 × 89 × 401 × 401)See below for interesting mathematical facts about the number 136948731601920 from the Numbermatics database.
Names of 136948731601920
- Cardinal: 136948731601920 can be written as One hundred thirty-six trillion, nine hundred forty-eight billion, seven hundred thirty-one million, six hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3694873160192 × 1014
Factors of 136948731601920
Divisors of 136948731601920
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 89 96 105 112 120 128 140 160 168 178 192 210 224 240 256 267 280 320 336 356 384 401 420 445 448 480 512 534 560 623 640 672 712 768 802 840 890 896 960 1024 1068 1120 1203 1246 1280 1335 1344 1424 1536 1604 1680 1780 1792 1869 1920 2005 2136 2240 2406 2492 2560 2670 2688 2807 2848 3072 3115 3208 3360 3560 3584 3738 3840 4010 4272 4480 4812 4984 5120 5340 5376 5614 5696 6015 6230 6416 6720 7120 7168 7476 7680 7921 8020 8421 8544 8960 9345 9624 9968 10680 10752 11228 11392 12030 12460 12832 13440 14035 14240 14952 15360 15842 16040 16842 17088 17920 18690 19248 19936 21360 21504 22456 22784 23763 24060 24920 25664 26880 28070 28480 29904 31684 32080 33684 34176 35689 35840 37380 38496 39605 39872 42105 42720 44912 45568 47526 48120 49840 51328 53760 55447 56140 56960 59808 63368 64160 67368 68352 71378 74760 76992 79210 79744 84210 85440 89824 91136 95052 96240 99680 102656 107067 107520 110894 112280 113920 118815 119616 126736 128320 134736 136704 142756 149520 153984 158420 159488 160801 166341 168420 170880 178445 179648 190104 192480 199360 205312 214134 221788 224560 227840 237630 239232 249823 253472 256640 269472 273408 277235 285512 299040 307968 316840 318976 321602 332682 336840 341760 356890 359296 380208 384960 398720 410624 428268 443576 449120 455680 475260 478464 482403 499646 506944 513280 535335 538944 554470 571024 598080 615936 633680 637952 643204 665364 673680 683520 713780 718592 749469 760416 769920 797440 804005 831705 856536 887152 898240 950520 956928 964806 999292 1013888 1026560 1070670 1077888 1108940 1125607 1142048 1196160 1231872 1249115 1267360 1286408 1330728 1347360 1367040 1427560 1437184 1498938 1520832 1539840 1594880 1608010 1663410 1713072 1774304 1796480 1901040 1913856 1929612 1998584 2027776 2053120 2141340 2155776 2217880 2251214 2284096 2392320 2412015 2498230 2534720 2572816 2661456 2694720 2855120 2874368 2997876 3041664 3079680 3176321 3189760 3216020 3326820 3376821 3426144 3548608 3592960 3747345 3802080 3859224 3997168 4055552 4282680 4311552 4435760 4502428 4568192 4784640 4824030 4996460 5069440 5145632 5322912 5389440 5628035 5710240 5995752 6083328 6159360 6352642 6432040 6653640 6753642 6852288 7097216 7185920 7494690 7604160 7718448 7994336 8111104 8565360 8623104 8871520 9004856 9136384 9528963 9569280 9648060 9992920 10138880 10291264 10645824 10778880 11256070 11420480 11991504 12166656 12705284 12864080 13307280 13507284 13704576 14194432 14311289 14371840 14989380 15208320 15436896 15881605 15988672 16884105 17130720 17743040 18009712 18272768 19057926 19296120 19985840 20277760 20582528 21291648 21557760 22234247 22512140 22840960 23983008 24333312 25410568 25728160 26614560 27014568 27409152 28388864 28622578 29978760 30416640 30873792 31763210 31977344 33768210 34261440 35486080 36019424 36545536 38115852 38592240 39971680 40555520 41165056 42583296 42933867 43115520 44468494 45024280 45681920 47644815 47966016 50821136 51456320 53229120 54029136 54818304 56777728 57245156 59957520 60833280 61747584 63526420 63954688 66702741 67536420 68522880 70972160 71556445 72038848 76231704 77184480 79943360 82330112 85166592 85867734 88936988 90048560 91363840 95289630 95932032 100179023 101642272 102912640 106458240 108058272 109636608 111171235 114490312 119915040 121666560 123495168 127052840 127909376 133405482 135072840 137045760 141944320 143112890 144077696 152463408 154368960 159886720 164660224 170333184 171735468 177873976 180097120 182727680 190579260 191864064 200358046 203284544 205825280 212916480 214669335 216116544 222342470 228980624 239830080 246990336 254105680 255818752 266810964 270145680 274091520 283888640 286225780 288155392 300537069 304926816 308737920 319773440 333513705 343470936 355747952 360194240 381158520 383728128 400716092 406569088 411650560 425832960 429338670 432233088 444684940 457961248 479660160 493980672 500895115 508211360 533621928 540291360 548183040 572451560 576310784 601074138 609853632 617475840 639546880 667027410 686941872 711495904 720388480 762317040 767456256 801432184 813138176 823301120 851665920 858677340 864466176 889369880 915922496 959320320 1001790230 1016422720 1067243856 1080582720 1144903120 1152621568 1202148276 1219707264 1234951680 1273704721 1279093760 1334054820 1373883744 1422991808 1440776960 1502685345 1524634080 1602864368 1626276352 1717354680 1728932352 1778739760 1831844992 1918640640 2003580460 2032845440 2134487712 2161165440 2289806240 2404296552 2439414528 2469903360 2547409442 2668109640 2747767488 2845983616 2881553920 3005370690 3049268160 3205728736 3252552704 3434709360 3457864704 3557479520 3663689984 3821114163 3837281280 4007160920 4065690880 4268975424 4322330880 4579612480 4808593104 4878829056 5094818884 5336219280 5495534976 5691967232 5763107840 6010741380 6098536320 6368523605 6411457472 6869418720 7114959040 7327379968 7642228326 8014321840 8131381760 8537950848 8644661760 8915933047 9159224960 9617186208 9757658112 10189637768 10672438560 10991069952 11383934464 12021482760 12197072640 12737047210 12822914944 13738837440 14229918080 14654759936 15284456652 16028643680 16262763520 17075901696 17289323520 17831866094 18318449920 19105570815 19234372416 20379275536 21344877120 21982139904 22767868928 24042965520 24394145280 25474094420 25645829888 26747799141 27477674880 28459836160 30568913304 32057287360 34151803392 35663732188 36636899840 38211141630 38468744832 40758551072 42689754240 43964279808 44579665235 48085931040 48788290560 50948188840 51291659776 53495598282 54955349760 56919672320 61137826608 64114574720 68303606784 71327464376 73273799680 76422283260 76937489664 81517102144 85379508480 89159330470 96171862080 101896377680 102583319552 106991196564 109910699520 113839344640 122275653216 128229149440 133738995705 142654928752 152844566520 153874979328 163034204288 170759016960 178318660940 192343724160 203792755360 213982393128 219821399040 244551306432 256458298880 267477991410 285309857504 305689133040 307749958656 326068408576 341518033920 356637321880 384687448320 407585510720 427964786256 489102612864 512916597760 534955982820 570619715008 611378266080 652136817152 713274643760 769374896640 815171021440 855929572512 978205225728 1069911965640 1141239430016 1222756532160 1304273634304 1426549287520 1538749793280 1630342042880 1711859145024 1956410451456 2139823931280 2282478860032 2445513064320 2853098575040 3260684085760 3423718290048 3912820902912 4279647862560 4564957720064 4891026128640 5706197150080 6521368171520 6847436580096 8559295725120 9129915440128 9782052257280 11412394300160 13694873160192 17118591450240 19564104514560 22824788600320 27389746320384 34237182900480 45649577200640 68474365800960 136948731601920
- Sum of all divisors σ(n): 507550106102592
- Sum of proper divisors (its aliquot sum) s(n): 370601374500672
- 136948731601920 is an abundant number, because the sum of its proper divisors (370601374500672) is greater than itself. Its abundance is 233652642898752
Bases of 136948731601920
- Binary: 111110010001101110111000111111111100100000000002
- Hexadecimal: 0x7C8DDC7FE400
- Base-36: 1CJLDMVU2O
Squares and roots of 136948731601920
- 136948731601920 squared (1369487316019202) is 18754955087374721689347686400
- 136948731601920 cubed (1369487316019203) is 2568467310466944823026934349518117797888000
-
The
square root of 136948731601920 is 11702509.6283626275 -
The
cube root of 136948731601920 is 51544.9360025055
Scales and comparisons
How big is 136948731601920?- 136,948,731,601,920 seconds is equal to 4,354,546 years, 2 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 136,948,731,601,920 would take you about ten million, eight hundred eighty-six thousand, three 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 136948731601920 cubic inches would be around 4295.4 feet tall.
Recreational maths with 136948731601920
- 136948731601920 backwards is 029106137849631
- 136948731601920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 136948731601920's digits is 60
- More coming soon!
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The information we have on file for 136948731601920 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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