1057098311680
1,057,098,311,680 is an even composite number composed of seven prime numbers multiplied together.
1057098311680 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 1057098311680:
211 × 5 × 23 × 29 × 37 × 47 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 29 × 37 × 47 × 89)See below for interesting mathematical facts about the number 1057098311680 from the Numbermatics database.
Names of 1057098311680
- Cardinal: 1057098311680 can be written as One trillion, fifty-seven billion, ninety-eight million, three hundred eleven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.05709831168 × 1012
Factors of 1057098311680
Divisors of 1057098311680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 29 32 37 40 46 47 58 64 74 80 89 92 94 115 116 128 145 148 160 178 184 185 188 230 232 235 256 290 296 320 356 368 370 376 445 460 464 470 512 580 592 640 667 712 736 740 752 851 890 920 928 940 1024 1073 1081 1160 1184 1280 1334 1363 1424 1472 1480 1504 1702 1739 1780 1840 1856 1880 2047 2048 2146 2162 2320 2368 2560 2581 2668 2726 2848 2944 2960 3008 3293 3335 3404 3478 3560 3680 3712 3760 4094 4183 4255 4292 4324 4640 4736 5120 5162 5336 5365 5405 5452 5696 5888 5920 6016 6586 6670 6808 6815 6956 7120 7360 7424 7520 8188 8366 8510 8584 8648 8695 9280 9472 10235 10240 10324 10672 10730 10810 10904 11392 11776 11840 12032 12905 13172 13340 13616 13630 13912 14240 14720 14848 15040 16376 16465 16732 17020 17168 17296 17390 18560 18944 20470 20648 20915 21344 21460 21620 21808 22784 23552 23680 24064 24679 25810 26344 26680 27232 27260 27824 28480 29440 29696 30080 31349 32752 32930 33464 34040 34336 34592 34780 37120 37888 39997 40940 41296 41830 42688 42920 43240 43616 45568 47104 47360 48128 49358 50431 51620 52688 53360 54464 54520 55648 56960 58880 59363 59392 60160 62698 65504 65860 66928 68080 68672 69184 69560 74240 75739 75776 79994 81880 82592 83660 85376 85840 86480 87232 91136 94720 95497 96209 96256 98716 100862 103240 105376 106720 108928 109040 111296 113920 117760 118726 120320 121307 123395 125396 131008 131720 133856 136160 137344 138368 139120 148480 151478 154771 156745 159988 163760 165184 167320 170752 171680 172960 174464 182272 189440 190994 192418 197432 199985 201724 206480 210752 213440 217856 218080 222592 227840 235520 237452 240640 242614 246790 250792 252155 262016 263440 267712 272320 274688 276736 278240 296815 296960 302956 309542 313490 319976 327520 330368 334640 341504 343360 345920 348928 378695 378880 381988 384836 394864 399970 403448 412960 421504 426880 435712 436160 445184 455680 474904 477485 481045 481280 485228 493580 501584 504310 524032 526880 535424 544640 549376 553472 556480 593630 605912 606535 619084 626980 639952 655040 660736 669280 683008 686720 691840 697856 757390 763976 769672 773855 789728 799940 806896 825920 843008 853760 871424 872320 890368 911360 949808 954970 962090 970456 987160 1003168 1008620 1048064 1053760 1070848 1089280 1098752 1106944 1112960 1159913 1187260 1211824 1213070 1238168 1253960 1279904 1310080 1321472 1338560 1366016 1373440 1383680 1395712 1514780 1527952 1539344 1547710 1579456 1599880 1613792 1651840 1686016 1707520 1742848 1744640 1780736 1899616 1909940 1924180 1940912 1974320 2006336 2017240 2096128 2107520 2141696 2178560 2196431 2197504 2213888 2225920 2319826 2374520 2423648 2426140 2476336 2507920 2559808 2620160 2642944 2677120 2746880 2767360 2790061 2791424 3029560 3055904 3078688 3095420 3158912 3199760 3227584 3303680 3372032 3415040 3489280 3559733 3561472 3799232 3819880 3848360 3881824 3948640 4012672 4034480 4192256 4215040 4283392 4357120 4392862 4451840 4488359 4639652 4749040 4847296 4852280 4952672 5015840 5119616 5240320 5285888 5354240 5493760 5534720 5580122 5799565 6059120 6111808 6157376 6190840 6317824 6399520 6455168 6607360 6744064 6830080 6978560 7119466 7598464 7639760 7696720 7763648 7897280 8025344 8068960 8430080 8566784 8714240 8785724 8903680 8976718 9279304 9498080 9694592 9704560 9905344 10031680 10239232 10480640 10708480 10982155 10987520 11069440 11160244 11599130 12118240 12223616 12314752 12381680 12635648 12799040 12910336 13214720 13950305 13957120 14238932 15196928 15279520 15393440 15527296 15794560 16050688 16137920 16860160 17571448 17798665 17807360 17953436 18558608 18996160 19389184 19409120 19810688 20063360 20478464 20961280 21416960 21964310 22320488 22441795 23198260 24236480 24447232 24629504 24763360 25271296 25598080 25820672 26429440 27900610 28477864 30393856 30559040 30786880 31054592 31589120 32101376 32275840 33720320 35142896 35597330 35906872 37117216 37992320 38778368 38818240 39621376 40126720 40956928 42833920 43928620 44640976 44883590 46396520 48472960 48894464 49259008 49526720 50542592 51196160 51641344 55801220 56955728 60787712 61118080 61573760 62109184 63178240 64202752 64551680 70285792 71194660 71813744 74234432 75984640 77556736 77636480 79242752 80253440 81913856 87857240 89281952 89767180 92793040 96945920 97788928 98518016 99053440 102392320 103232257 103282688 111602440 113911456 121575424 122236160 123147520 124218368 126356480 129103360 140571584 142389320 143627488 148468864 151969280 155113472 155272960 158485504 160506880 175714480 178563904 179534360 185586080 193891840 195577856 197036032 198106880 204784640 206464514 223204880 227822912 244472320 246295040 248436736 252712960 258206720 281143168 284778640 287254976 296937728 303938560 310545920 316971008 321013760 351428960 357127808 359068720 371172160 387783680 396213760 409569280 412929028 446409760 455645824 488944640 492590080 516161285 516413440 562286336 569557280 574509952 593875456 607877120 621091840 702857920 714255616 718137440 742344320 775567360 792427520 825858056 892819520 911291648 977889280 985180160 1032322570 1124572672 1139114560 1149019904 1187750912 1242183680 1405715840 1428511232 1436274880 1484688640 1584855040 1651716112 1785639040 1822583296 2064645140 2249145344 2278229120 2298039808 2375501824 2811431680 2857022464 2872549760 2969377280 3303432224 3571278080 3645166592 4129290280 4498290688 4556458240 4596079616 5622863360 5714044928 5745099520 5938754560 6606864448 7142556160 7290333184 8258580560 9112916480 9192159232 11245726720 11490199040 11877509120 13213728896 14285112320 16517161120 18225832960 22491453440 22980398080 26427457792 28570224640 33034322240 36451665920 45960796160 52854915584 66068644480 105709831168 132137288960 211419662336 264274577920 528549155840 1057098311680
- Sum of all divisors σ(n): 2904056064000
- Sum of proper divisors (its aliquot sum) s(n): 1846957752320
- 1057098311680 is an abundant number, because the sum of its proper divisors (1846957752320) is greater than itself. Its abundance is 789859440640
Bases of 1057098311680
- Binary: 11110110000111111111100000101000000000002
- Hexadecimal: 0xF61FF82800
- Base-36: DHMH1HJ4
Squares and roots of 1057098311680
- 1057098311680 squared (10570983116802) is 1117456840556706424422400
- 1057098311680 cubed (10570983116803) is 1181261739527761312558328559173632000
-
The
square root of 1057098311680 is 1028152.8639652763 -
The
cube root of 1057098311680 is 10186.8159525405
Scales and comparisons
How big is 1057098311680?- 1,057,098,311,680 seconds is equal to 33,612 years, 23 weeks, 5 days, 3 hours, 54 minutes, 40 seconds.
-
To count from 1 to 1,057,098,311,680 would take you about eighty-four thousand and thirty-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 1057098311680 cubic inches would be around 848.9 feet tall.
Recreational maths with 1057098311680
- 1057098311680 backwards is 0861138907501
- The number of decimal digits it has is: 13
- The sum of 1057098311680's digits is 49
- More coming soon!
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