1314117220320
1,314,117,220,320 is an even composite number composed of seven prime numbers multiplied together.
1314117220320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1314117220320:
25 × 33 × 5 × 17 × 41 × 607 × 719
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 41 × 607 × 719)See below for interesting mathematical facts about the number 1314117220320 from the Numbermatics database.
Names of 1314117220320
- Cardinal: 1314117220320 can be written as One trillion, three hundred fourteen billion, one hundred seventeen million, two hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.31411722032 × 1012
Factors of 1314117220320
Divisors of 1314117220320
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 41 45 48 51 54 60 68 72 80 82 85 90 96 102 108 120 123 135 136 144 153 160 164 170 180 204 205 216 240 246 255 270 272 288 306 328 340 360 369 408 410 432 459 480 492 510 540 544 607 612 615 656 680 697 719 720 738 765 816 820 864 918 984 1020 1080 1107 1214 1224 1230 1312 1360 1394 1438 1440 1476 1530 1632 1640 1821 1836 1845 1968 2040 2091 2157 2160 2214 2295 2428 2448 2460 2720 2788 2876 2952 3035 3060 3280 3485 3595 3642 3672 3690 3936 4080 4182 4314 4320 4428 4590 4856 4896 4920 5463 5535 5576 5752 5904 6070 6120 6273 6471 6560 6970 7190 7284 7344 7380 8160 8364 8628 8856 9105 9180 9712 9840 10319 10455 10785 10926 11070 11152 11504 11808 12140 12223 12240 12546 12942 13940 14380 14568 14688 14760 16389 16728 17256 17712 18210 18360 18819 19413 19424 19680 20638 20910 21570 21852 22140 22304 23008 24280 24446 24480 24887 25092 25884 27315 27880 28760 29136 29479 29520 30957 31365 32355 32778 33456 34512 35424 36420 36669 36720 37638 38826 41276 41820 43140 43704 44280 48560 48892 49774 50184 51595 51768 54630 55760 57520 58272 58958 59040 61115 61914 62730 64710 65556 66912 69024 72840 73338 73440 74661 75276 77652 81945 82552 83640 86280 87408 88437 88560 92871 94095 97065 97120 97784 99548 100368 103190 103536 109260 110007 111520 115040 117916 122230 123828 124435 125460 129420 131112 145680 146676 147395 149322 150552 154785 155304 163890 165104 167280 172560 174816 176874 177120 183345 185742 188190 194130 195568 199096 200736 206380 207072 218520 220014 223983 235832 244460 247656 248870 250920 258840 262224 265311 278613 291360 293352 294790 298644 301104 309570 310608 327780 330021 330208 334560 345120 353748 366690 371484 373305 376380 388260 391136 398192 412760 423079 436433 437040 440028 442185 447966 464355 471664 488920 495312 497740 501143 501840 517680 524448 530622 550035 557226 586704 589580 597288 602208 619140 621216 655560 660042 671949 707496 733380 742968 746610 752760 776520 795933 796384 825520 846158 872866 874080 880056 884370 895932 928710 943328 977840 990624 995480 1002286 1003680 1035360 1061244 1100070 1114452 1119915 1173408 1179160 1194576 1238280 1269237 1309299 1311120 1320084 1326555 1343898 1393065 1414992 1466760 1485936 1493220 1503429 1505520 1553040 1591866 1650105 1651040 1692316 1745732 1760112 1768740 1791864 1857420 1955680 1990960 2004572 2115395 2122488 2182165 2200140 2228904 2239830 2358320 2389152 2476560 2505715 2538474 2618598 2622240 2640168 2653110 2687796 2786130 2829984 2933520 2971872 2986440 3006858 3011040 3106080 3183732 3300210 3359745 3384632 3491464 3520224 3537480 3583728 3714840 3807711 3927897 3979665 3981920 4009144 4230790 4244976 4364330 4400280 4457808 4479660 4510287 4716640 4953120 5011430 5076948 5237196 5280336 5306220 5375592 5572260 5867040 5972880 6013716 6346185 6367464 6546495 6600420 6719490 6769264 6982928 7074960 7167456 7419361 7429680 7517145 7615422 7855794 7959330 8018288 8461580 8489952 8728660 8800560 8915616 8959320 9020574 10022860 10153896 10474392 10560672 10612440 10751184 11144520 11423133 11783691 11945760 12027432 12692370 12734928 13092990 13200840 13438980 13530861 13538528 13965856 14149920 14838722 14859360 15034290 15230844 15711588 15918660 16036576 16923160 17457320 17601120 17893753 17918640 18041148 19038555 19639485 20045720 20307792 20948784 21224880 21502368 22258083 22289040 22551435 22846266 23567382 24054864 25384740 25469856 26185980 26401680 26877960 27061722 29677444 30068580 30461688 31423176 31837320 33846320 34914640 35787506 35837280 36082296 37096805 38077110 39278970 40091440 40615584 41897568 42449760 44516166 44578080 45102870 45692532 47134764 48109728 50769480 52371960 52803360 53681259 53755920 54123444 57115665 58918455 59354888 60137160 60923376 62846352 63674640 66774249 67654305 67692640 69829280 71575012 72164592 74193610 76154220 78557940 80182880 89032332 89468765 90205740 91385064 94269528 101538960 104743920 107362518 107511840 108246888 111290415 114231330 117836910 118709776 120274320 121846752 125692704 127349280 133548498 135308610 143150024 144329184 148387220 152308440 157115880 161043777 178064664 178937530 180411480 182770128 188539056 200322747 203077920 209487840 214725036 216493776 222580830 228462660 235673820 237419552 240548640 267096996 268406295 270617220 286300048 296774440 304193801 304616880 314231760 322087554 333871245 356129328 357875060 360822960 365540256 377078112 400645494 429450072 432987552 445161660 456925320 471347640 483131331 534193992 536812590 541234440 572600096 593548880 608387602 609233760 628463520 644175108 667742490 712258656 715750120 721645920 801290988 805218885 858900144 890323320 912581403 913850640 942695280 966262662 1001613735 1068387984 1073625180 1082468880 1187097760 1216775204 1288350216 1335484980 1431500240 1520969005 1602581976 1610437770 1717800288 1780646640 1825162806 1827701280 1885390560 1932525324 2003227470 2136775968 2147250360 2164937760 2415656655 2433550408 2576700432 2670969960 2737744209 2863000480 3041938010 3205163952 3220875540 3561293280 3650325612 3865050648 4006454940 4294500720 4562907015 4831313310 4867100816 5153400864 5341939920 5475488418 6083876020 6410327904 6441751080 7300651224 7730101296 8012909880 8213232627 8589001440 9125814030 9662626620 9734201632 10683879840 10950976836 12167752040 12883502160 13688721045 14601302448 15460202592 16025819760 16426465254 18251628060 19325253240 21901953672 24335504080 25767004320 27377442090 29202604896 32051639520 32852930508 36503256120 38650506480 41066163135 43803907344 48671008160 54754884180 65705861016 73006512240 77301012960 82132326270 87607814688 109509768360 131411722032 146013024480 164264652540 219019536720 262823444064 328529305080 438039073440 657058610160 1314117220320
- Sum of all divisors σ(n): 5003911987200
- Sum of proper divisors (its aliquot sum) s(n): 3689794766880
- 1314117220320 is an abundant number, because the sum of its proper divisors (3689794766880) is greater than itself. Its abundance is 2375677546560
Bases of 1314117220320
- Binary: 100110001111101110111110101110111111000002
- Hexadecimal: 0x131F77D77E0
- Base-36: GRP3GOO0
Squares and roots of 1314117220320
- 1314117220320 squared (13141172203202) is 1726904068741563420902400
- 1314117220320 cubed (13141172203203) is 2269354374573961523127252074016768000
-
The
square root of 1314117220320 is 1146349.5192653941 -
The
cube root of 1314117220320 is 10953.2929229457
Scales and comparisons
How big is 1314117220320?- 1,314,117,220,320 seconds is equal to 41,784 years, 44 weeks, 6 days, 1 hour, 12 minutes.
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To count from 1 to 1,314,117,220,320 would take you about one hundred four thousand, four hundred sixty-two 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 1314117220320 cubic inches would be around 912.8 feet tall.
Recreational maths with 1314117220320
- 1314117220320 backwards is 0230227114131
- 1314117220320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1314117220320's digits is 27
- More coming soon!
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The information we have on file for 1314117220320 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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