213323120640
213,323,120,640 is an even composite number composed of five prime numbers multiplied together.
213323120640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 213323120640:
215 × 33 × 5 × 7 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 83 × 83)See below for interesting mathematical facts about the number 213323120640 from the Numbermatics database.
Names of 213323120640
- Cardinal: 213323120640 can be written as Two hundred thirteen billion, three hundred twenty-three million, one hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.1332312064 × 1011
Factors of 213323120640
Divisors of 213323120640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 83 84 90 96 105 108 112 120 126 128 135 140 144 160 166 168 180 189 192 210 216 224 240 249 252 256 270 280 288 315 320 332 336 360 378 384 415 420 432 448 480 498 504 512 540 560 576 581 630 640 664 672 720 747 756 768 830 840 864 896 945 960 996 1008 1024 1080 1120 1152 1162 1245 1260 1280 1328 1344 1440 1494 1512 1536 1660 1680 1728 1743 1792 1890 1920 1992 2016 2048 2160 2240 2241 2304 2324 2490 2520 2560 2656 2688 2880 2905 2988 3024 3072 3320 3360 3456 3486 3584 3735 3780 3840 3984 4032 4096 4320 4480 4482 4608 4648 4980 5040 5120 5229 5312 5376 5760 5810 5976 6048 6144 6640 6720 6889 6912 6972 7168 7470 7560 7680 7968 8064 8192 8640 8715 8960 8964 9216 9296 9960 10080 10240 10458 10624 10752 11205 11520 11620 11952 12096 12288 13280 13440 13778 13824 13944 14336 14940 15120 15360 15687 15936 16128 16384 17280 17430 17920 17928 18432 18592 19920 20160 20480 20667 20916 21248 21504 22410 23040 23240 23904 24192 24576 26145 26560 26880 27556 27648 27888 28672 29880 30240 30720 31374 31872 32256 32768 34445 34560 34860 35840 35856 36864 37184 39840 40320 40960 41334 41832 42496 43008 44820 46080 46480 47808 48223 48384 49152 52290 53120 53760 55112 55296 55776 57344 59760 60480 61440 62001 62748 63744 64512 68890 69120 69720 71680 71712 73728 74368 78435 79680 80640 81920 82668 83664 84992 86016 89640 92160 92960 95616 96446 96768 98304 103335 104580 106240 107520 110224 110592 111552 114688 119520 120960 122880 124002 125496 127488 129024 137780 138240 139440 143360 143424 144669 147456 148736 156870 159360 161280 163840 165336 167328 169984 172032 179280 184320 185920 186003 191232 192892 193536 206670 209160 212480 215040 220448 221184 223104 229376 239040 241115 241920 245760 248004 250992 254976 258048 275560 276480 278880 286720 286848 289338 294912 297472 310005 313740 318720 322560 330672 334656 339968 344064 358560 368640 371840 372006 382464 385784 387072 413340 418320 424960 430080 434007 440896 442368 446208 478080 482230 483840 491520 496008 501984 509952 516096 551120 552960 557760 573440 573696 578676 594944 620010 627480 637440 645120 661344 669312 679936 688128 717120 723345 737280 743680 744012 764928 771568 774144 826680 836640 849920 860160 868014 881792 884736 892416 930015 956160 964460 967680 992016 1003968 1019904 1032192 1102240 1105920 1115520 1146880 1147392 1157352 1189888 1240020 1254960 1274880 1290240 1302021 1322688 1338624 1359872 1434240 1446690 1474560 1487360 1488024 1529856 1543136 1548288 1653360 1673280 1699840 1720320 1736028 1763584 1784832 1860030 1912320 1928920 1935360 1984032 2007936 2039808 2064384 2170035 2204480 2211840 2231040 2294784 2314704 2379776 2480040 2509920 2549760 2580480 2604042 2645376 2677248 2719744 2868480 2893380 2974720 2976048 3059712 3086272 3096576 3306720 3346560 3399680 3440640 3472056 3527168 3569664 3720060 3824640 3857840 3870720 3968064 4015872 4079616 4340070 4408960 4423680 4462080 4589568 4629408 4759552 4960080 5019840 5099520 5160960 5208084 5290752 5354496 5736960 5786760 5949440 5952096 6119424 6172544 6193152 6510105 6613440 6693120 6799360 6944112 7054336 7139328 7440120 7649280 7715680 7741440 7936128 8031744 8159232 8680140 8817920 8924160 9179136 9258816 9519104 9920160 10039680 10199040 10321920 10416168 10581504 10708992 11473920 11573520 11898880 11904192 12238848 12345088 13020210 13226880 13386240 13598720 13888224 14108672 14278656 14880240 15298560 15431360 15482880 15872256 16063488 17360280 17635840 17848320 18358272 18517632 19038208 19840320 20079360 20398080 20832336 21163008 21417984 22947840 23147040 23797760 23808384 24477696 24690176 26040420 26453760 26772480 27776448 28217344 28557312 29760480 30597120 30862720 30965760 31744512 32126976 34720560 35271680 35696640 36716544 37035264 39680640 40158720 40796160 41664672 42326016 42835968 45895680 46294080 47595520 47616768 49380352 52080840 52907520 53544960 55552896 56434688 57114624 59520960 61194240 61725440 63489024 64253952 69441120 70543360 71393280 73433088 74070528 79361280 80317440 83329344 84652032 85671936 91791360 92588160 95191040 95233536 98760704 104161680 105815040 107089920 111105792 112869376 119041920 122388480 123450880 126978048 128507904 138882240 141086720 142786560 148141056 158722560 160634880 166658688 169304064 171343872 183582720 185176320 190467072 197521408 208323360 211630080 214179840 222211584 225738752 238083840 246901760 253956096 257015808 277764480 282173440 285573120 296282112 317445120 321269760 333317376 338608128 367165440 370352640 380934144 395042816 416646720 423260160 428359680 444423168 476167680 493803520 507912192 514031616 555528960 564346880 592564224 634890240 642539520 666634752 677216256 740705280 761868288 790085632 833293440 846520320 856719360 888846336 952335360 987607040 1015824384 1111057920 1128693760 1185128448 1269780480 1285079040 1333269504 1481410560 1523736576 1580171264 1666586880 1693040640 1777692672 1904670720 1975214080 2031648768 2222115840 2370256896 2539560960 2570158080 2666539008 2962821120 3047473152 3333173760 3386081280 3555385344 3809341440 3950428160 4444231680 4740513792 5079121920 5333078016 5925642240 6094946304 6666347520 7110770688 7618682880 7900856320 8888463360 10158243840 10666156032 11851284480 13332695040 14221541376 15237365760 17776926720 21332312064 23702568960 26665390080 30474731520 35553853440 42664624128 53330780160 71107706880 106661560320 213323120640
- Sum of all divisors σ(n): 877393065600
- Sum of proper divisors (its aliquot sum) s(n): 664069944960
- 213323120640 is an abundant number, because the sum of its proper divisors (664069944960) is greater than itself. Its abundance is 450746824320
Bases of 213323120640
- Binary: 110001101010110000110010000000000000002
- Hexadecimal: 0x31AB0C8000
- Base-36: 2PZZ2TC0
Squares and roots of 213323120640
- 213323120640 squared (2133231206402) is 45506753799587994009600
- 213323120640 cubed (2133231206403) is 9707642730724288028405498118144000
-
The
square root of 213323120640 is 461869.1596545497 -
The
cube root of 213323120640 is 5975.1109788621
Scales and comparisons
How big is 213323120640?- 213,323,120,640 seconds is equal to 6,783 years, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 213,323,120,640 would take you about thirteen thousand, five hundred sixty-six 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 213323120640 cubic inches would be around 497.9 feet tall.
Recreational maths with 213323120640
- 213323120640 backwards is 046021323312
- 213323120640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213323120640's digits is 27
- More coming soon!
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