137931816960
137,931,816,960 is an even composite number composed of six prime numbers multiplied together.
137931816960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137931816960:
215 × 32 × 5 × 72 × 23 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 23 × 83)See below for interesting mathematical facts about the number 137931816960 from the Numbermatics database.
Names of 137931816960
- Cardinal: 137931816960 can be written as One hundred thirty-seven billion, nine hundred thirty-one million, eight hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3793181696 × 1011
Factors of 137931816960
Divisors of 137931816960
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 28 30 32 35 36 40 42 45 46 48 49 56 60 63 64 69 70 72 80 83 84 90 92 96 98 105 112 115 120 126 128 138 140 144 147 160 161 166 168 180 184 192 196 207 210 224 230 240 245 249 252 256 276 280 288 294 315 320 322 332 336 345 360 368 384 392 414 415 420 441 448 460 480 483 490 498 504 512 552 560 576 581 588 630 640 644 664 672 690 720 735 736 747 768 784 805 828 830 840 882 896 920 960 966 980 996 1008 1024 1035 1104 1120 1127 1152 1162 1176 1245 1260 1280 1288 1328 1344 1380 1440 1449 1470 1472 1494 1536 1568 1610 1656 1660 1680 1743 1764 1792 1840 1909 1920 1932 1960 1992 2016 2048 2070 2205 2208 2240 2254 2304 2324 2352 2415 2490 2520 2560 2576 2656 2688 2760 2880 2898 2905 2940 2944 2988 3072 3136 3220 3312 3320 3360 3381 3486 3528 3584 3680 3735 3818 3840 3864 3920 3984 4032 4067 4096 4140 4410 4416 4480 4508 4608 4648 4704 4830 4980 5040 5120 5152 5229 5312 5376 5520 5635 5727 5760 5796 5810 5880 5888 5976 6144 6272 6440 6624 6640 6720 6762 6972 7056 7168 7245 7360 7470 7636 7680 7728 7840 7968 8064 8134 8192 8280 8715 8820 8832 8960 9016 9216 9296 9408 9545 9660 9960 10080 10143 10240 10304 10458 10624 10752 11040 11270 11454 11520 11592 11620 11760 11776 11952 12201 12288 12544 12880 13248 13280 13363 13440 13524 13944 14112 14336 14490 14720 14940 15272 15360 15456 15680 15936 16128 16268 16384 16560 16905 17181 17430 17640 17664 17920 18032 18432 18592 18816 19090 19320 19920 20160 20286 20335 20480 20608 20916 21248 21504 22080 22540 22908 23040 23184 23240 23520 23552 23904 24402 24576 25088 25760 26145 26496 26560 26726 26880 27048 27888 28224 28635 28672 28980 29440 29880 30544 30720 30912 31360 31872 32256 32536 32768 33120 33810 34362 34860 35280 35328 35840 36064 36603 36864 37184 37632 38180 38640 39840 40089 40320 40572 40670 40960 41216 41832 42496 43008 44160 45080 45816 46080 46368 46480 47040 47104 47808 48804 49152 50176 50715 51520 52290 52992 53120 53452 53760 54096 55776 56448 57270 57344 57960 58880 59760 61005 61088 61440 61824 62720 63744 64512 65072 66240 66815 67620 68724 69720 70560 70656 71680 72128 73206 73728 74368 75264 76360 77280 79680 80178 80640 81144 81340 81920 82432 83664 84992 85905 86016 88320 90160 91632 92160 92736 92960 93541 94080 94208 95616 97608 98304 100352 101430 103040 104580 105984 106240 106904 107520 108192 111552 112896 114540 114688 115920 117760 119520 120267 122010 122176 122880 123648 125440 127488 129024 130144 132480 133630 135240 137448 139440 141120 141312 143360 144256 146412 147456 148736 150528 152720 154560 159360 160356 161280 162288 162680 163840 164864 167328 169984 171810 172032 176640 180320 183015 183264 184320 185472 185920 187082 188160 188416 191232 195216 200445 200704 202860 206080 209160 211968 212480 213808 215040 216384 223104 225792 229080 229376 231840 235520 239040 240534 244020 244352 245760 247296 250880 254976 258048 260288 264960 267260 270480 274896 278880 280623 282240 282624 286720 288512 292824 294912 297472 301056 305440 309120 318720 320712 322560 324576 325360 329728 334656 339968 343620 344064 353280 360640 366030 366528 368640 370944 371840 374164 376320 376832 382464 390432 400890 401408 405720 412160 418320 423936 424960 427616 430080 432768 446208 451584 458160 463680 467705 471040 478080 481068 488040 488704 491520 494592 501760 509952 516096 520576 529920 534520 540960 549792 557760 561246 564480 565248 573440 577024 585648 594944 601335 602112 610880 618240 637440 641424 645120 649152 650720 659456 669312 679936 687240 688128 706560 721280 732060 733056 737280 741888 743680 748328 752640 753664 764928 780864 801780 802816 811440 824320 836640 841869 847872 849920 855232 860160 865536 892416 903168 916320 927360 935410 942080 956160 962136 976080 977408 989184 1003520 1019904 1032192 1041152 1059840 1069040 1081920 1099584 1115520 1122492 1128960 1130496 1146880 1154048 1171296 1189888 1202670 1204224 1221760 1236480 1274880 1282848 1290240 1298304 1301440 1318912 1338624 1359872 1374480 1403115 1413120 1442560 1464120 1466112 1474560 1483776 1487360 1496656 1505280 1529856 1561728 1603560 1605632 1622880 1648640 1673280 1683738 1695744 1699840 1710464 1720320 1731072 1784832 1806336 1832640 1854720 1870820 1884160 1912320 1924272 1952160 1954816 1978368 2007040 2039808 2064384 2082304 2119680 2138080 2163840 2199168 2231040 2244984 2257920 2260992 2308096 2342592 2379776 2405340 2408448 2443520 2472960 2549760 2565696 2580480 2596608 2602880 2637824 2677248 2719744 2748960 2806230 2826240 2885120 2928240 2932224 2967552 2974720 2993312 3010560 3059712 3123456 3207120 3245760 3297280 3346560 3367476 3391488 3399680 3420928 3440640 3462144 3569664 3612672 3665280 3709440 3741640 3768320 3824640 3848544 3904320 3909632 3956736 4014080 4079616 4164608 4209345 4239360 4276160 4327680 4398336 4462080 4489968 4515840 4616192 4685184 4759552 4810680 4816896 4887040 4945920 5099520 5131392 5160960 5193216 5205760 5275648 5354496 5497920 5612460 5652480 5770240 5856480 5864448 5935104 5949440 5986624 6021120 6119424 6246912 6414240 6491520 6594560 6693120 6734952 6782976 6799360 6841856 6924288 7139328 7225344 7330560 7418880 7483280 7649280 7697088 7808640 7819264 7913472 8028160 8159232 8329216 8418690 8478720 8552320 8655360 8796672 8924160 8979936 9031680 9232384 9370368 9519104 9621360 9774080 9891840 10199040 10262784 10321920 10386432 10411520 10708992 10995840 11224920 11304960 11540480 11712960 11728896 11870208 11898880 11973248 12042240 12238848 12493824 12828480 12983040 13189120 13386240 13469904 13598720 13683712 13848576 14278656 14450688 14661120 14837760 14966560 15298560 15394176 15617280 15638528 15826944 16658432 16837380 16957440 17104640 17310720 17593344 17848320 17959872 18063360 18464768 18740736 19038208 19242720 19548160 19783680 20398080 20525568 20772864 20823040 21417984 21991680 22449840 23080960 23425920 23457792 23740416 23797760 23946496 24084480 24477696 24987648 25656960 25966080 26378240 26772480 26939808 27367424 27697152 28557312 29322240 29675520 29933120 30597120 30788352 31234560 31277056 33316864 33674760 33914880 34209280 34621440 35186688 35696640 35919744 36126720 36929536 37481472 38485440 39096320 39567360 40796160 41051136 41545728 41646080 42835968 43983360 44899680 46161920 46851840 46915584 47480832 47595520 47892992 49975296 51313920 51932160 53544960 53879616 54734848 55394304 57114624 58644480 59351040 59866240 61194240 61576704 62469120 62554112 66633728 67349520 68418560 69242880 70373376 71393280 71839488 72253440 74962944 76970880 78192640 79134720 82102272 83091456 83292160 85671936 87966720 89799360 92323840 93703680 93831168 95191040 95785984 99950592 102627840 103864320 107089920 107759232 109469696 110788608 117288960 118702080 119732480 122388480 123153408 124938240 133267456 134699040 136837120 138485760 140746752 142786560 143678976 149925888 153941760 156385280 164204544 166182912 166584320 171343872 175933440 179598720 184647680 187407360 187662336 191571968 199901184 205255680 207728640 214179840 215518464 218939392 234577920 237404160 239464960 246306816 249876480 269398080 273674240 276971520 281493504 285573120 287357952 299851776 307883520 312770560 328409088 332365824 333168640 351866880 359197440 374814720 383143936 399802368 410511360 415457280 428359680 431036928 437878784 469155840 478929920 492613632 499752960 538796160 547348480 553943040 562987008 574715904 599703552 615767040 656818176 666337280 703733760 718394880 749629440 766287872 821022720 830914560 856719360 862073856 938311680 957859840 985227264 999505920 1077592320 1094696960 1149431808 1199407104 1231534080 1313636352 1407467520 1436789760 1499258880 1532575744 1642045440 1661829120 1724147712 1915719680 1970454528 1999011840 2155184640 2189393920 2298863616 2463068160 2814935040 2873579520 2998517760 3065151488 3284090880 3448295424 3831439360 3940909056 4310369280 4597727232 4926136320 5747159040 5997035520 6568181760 6896590848 7662878720 8620738560 9195454464 9852272640 11494318080 13793181696 15325757440 17241477120 19704545280 22988636160 27586363392 34482954240 45977272320 68965908480 137931816960
- Sum of all divisors σ(n): 587399117760
- Sum of proper divisors (its aliquot sum) s(n): 449467300800
- 137931816960 is an abundant number, because the sum of its proper divisors (449467300800) is greater than itself. Its abundance is 311535483840
Bases of 137931816960
- Binary: 100000000111010110000010000000000000002
- Hexadecimal: 0x201D608000
- Base-36: 1RD51J40
Squares and roots of 137931816960
- 137931816960 squared (1379318169602) is 19025186129886943641600
- 137931816960 cubed (1379318169603) is 2624178490897496695867007041536000
-
The
square root of 137931816960 is 371391.7297948353 -
The
cube root of 137931816960 is 5166.7980347775
Scales and comparisons
How big is 137931816960?- 137,931,816,960 seconds is equal to 4,385 years, 41 weeks, 6 days, 1 hour, 36 minutes.
-
To count from 1 to 137,931,816,960 would take you about eight thousand, seven 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 137931816960 cubic inches would be around 430.6 feet tall.
Recreational maths with 137931816960
- 137931816960 backwards is 069618139731
- The number of decimal digits it has is: 12
- The sum of 137931816960's digits is 54
- More coming soon!
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The information we have on file for 137931816960 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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