146428871680
146,428,871,680 is an even composite number composed of seven prime numbers multiplied together.
146428871680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 146428871680:
210 × 5 × 72 × 13 × 17 × 19 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 17 × 19 × 139)See below for interesting mathematical facts about the number 146428871680 from the Numbermatics database.
Names of 146428871680
- Cardinal: 146428871680 can be written as One hundred forty-six billion, four hundred twenty-eight million, eight hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.4642887168 × 1011
Factors of 146428871680
Divisors of 146428871680
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 19 20 26 28 32 34 35 38 40 49 52 56 64 65 68 70 76 80 85 91 95 98 104 112 119 128 130 133 136 139 140 152 160 170 182 190 196 208 221 224 238 245 247 256 260 266 272 278 280 304 320 323 340 364 380 392 416 442 448 455 476 490 494 512 520 532 544 556 560 595 608 637 640 646 665 680 695 728 760 784 832 833 884 896 910 931 952 973 980 988 1024 1040 1064 1088 1105 1112 1120 1190 1216 1235 1274 1280 1292 1330 1360 1390 1456 1520 1547 1568 1615 1664 1666 1729 1768 1792 1807 1820 1862 1904 1946 1960 1976 2080 2128 2176 2210 2224 2240 2261 2363 2380 2432 2470 2548 2560 2584 2641 2660 2720 2780 2912 3040 3094 3136 3185 3230 3328 3332 3458 3536 3584 3614 3640 3724 3808 3892 3920 3952 4160 4165 4199 4256 4352 4420 4448 4480 4522 4655 4726 4760 4864 4865 4940 5096 5120 5168 5282 5320 5440 5560 5824 6080 6188 6272 6370 6460 6656 6664 6811 6916 7072 7168 7228 7280 7448 7616 7735 7784 7840 7904 8320 8330 8398 8512 8645 8704 8840 8896 8960 9035 9044 9310 9452 9520 9728 9730 9880 10192 10336 10564 10640 10829 10880 11120 11305 11648 11815 12103 12160 12376 12544 12649 12740 12920 13205 13312 13328 13622 13832 14144 14456 14560 14896 15232 15470 15568 15680 15808 15827 16541 16640 16660 16796 17024 17290 17408 17680 17792 17920 18070 18088 18487 18620 18904 19040 19456 19460 19760 20384 20672 20995 21128 21280 21658 21760 22240 22610 23296 23630 24206 24320 24752 25088 25298 25480 25840 26410 26656 27244 27664 28288 28912 29120 29393 29792 30464 30719 30940 31136 31360 31616 31654 33082 33280 33320 33592 34048 34055 34333 34580 35360 35584 35840 36140 36176 36974 37240 37808 38080 38920 39520 40768 41344 41990 42256 42560 43316 43520 44480 44897 45220 46592 47260 48412 48640 49504 50176 50596 50960 51680 52820 53312 54145 54488 55328 56576 57824 58240 58786 59584 60515 60928 61438 61880 62272 62720 63232 63245 63308 66164 66560 66640 67184 68096 68110 68666 69160 70720 71168 72280 72352 73948 74480 75616 76160 77840 79040 79135 81536 82688 82705 83980 84512 85120 86632 87040 88543 88960 89794 90440 92435 93184 94520 96824 97280 99008 101192 101920 103360 105640 106624 108290 108976 110656 113152 115648 115787 116480 117572 119168 121030 121856 122876 123760 124544 125440 126464 126490 126616 129409 132328 133280 134368 136192 136220 137332 138320 141440 142336 144560 144704 146965 147896 148960 151232 152320 153595 155680 158080 158270 163072 165376 165410 167960 169024 170240 171665 173264 177086 177920 179588 180880 184870 189040 193648 198016 202384 203840 205751 206720 211280 213248 215033 216580 217952 221312 224485 226304 231296 231574 232960 235144 238336 240331 242060 245752 247520 249088 250880 252928 252980 253232 258818 264656 266560 268736 272440 274664 276640 282880 289120 289408 293930 295792 297920 302464 304640 307190 311360 314279 316160 316540 326144 330752 330820 335920 338048 340480 343330 346528 354172 355840 359176 361760 369740 378080 387296 396032 404768 407680 411502 413440 422560 426496 430066 433160 435904 442624 442715 448970 462592 463148 465920 470288 476672 480662 484120 491504 495040 498176 505960 506464 517636 529312 533120 537472 544880 549328 553280 565760 578240 578816 578935 583661 587860 591584 595840 604928 609280 614380 622720 628558 632320 633080 647045 652288 661640 671840 676096 680960 686660 693056 708344 711680 718352 723520 739480 756160 774592 792064 809536 815360 823004 826880 845120 852992 860132 866320 871808 885248 885430 897940 925184 926296 940576 953344 961324 968240 983008 990080 996352 1011920 1012928 1028755 1035272 1058624 1066240 1074944 1075165 1089760 1098656 1106560 1131520 1156480 1157632 1157870 1167322 1175720 1183168 1191680 1201655 1209856 1228760 1245440 1257116 1264640 1266160 1294090 1323280 1343680 1352192 1373320 1386112 1416688 1436704 1447040 1478960 1505231 1512320 1549184 1571395 1584128 1619072 1630720 1646008 1653760 1682317 1690240 1720264 1732640 1743616 1770496 1770860 1795880 1850368 1852592 1881152 1922648 1936480 1966016 1980160 2023840 2025856 2057510 2070544 2117248 2132480 2149888 2150330 2179520 2197312 2199953 2213120 2312960 2315264 2315740 2334644 2351440 2366336 2383360 2403310 2419712 2457520 2490880 2514232 2532320 2588180 2646560 2687360 2704384 2746640 2772224 2833376 2873408 2894080 2918305 2957920 3010462 3024640 3098368 3142790 3238144 3261440 3292016 3364634 3380480 3440528 3465280 3487232 3541720 3591760 3705184 3762304 3845296 3872960 3932032 3960320 4047680 4051712 4085627 4115020 4141088 4234496 4264960 4299776 4300660 4359040 4394624 4399906 4426240 4625920 4631480 4669288 4702880 4732672 4766720 4806620 4915040 4981760 5028464 5064640 5176360 5293120 5374720 5493280 5544448 5666752 5746816 5788160 5836610 5915840 6020924 6049280 6196736 6285580 6476288 6584032 6729268 6760960 6881056 6930560 6974464 7083440 7183520 7410368 7524608 7526155 7690592 7745920 7864064 7920640 8095360 8103424 8171254 8230040 8282176 8411585 8468992 8601320 8718080 8789248 8799812 8852480 9251840 9262960 9338576 9405760 9465344 9613240 9830080 10056928 10129280 10352720 10586240 10749440 10986560 10999765 11088896 11333504 11493632 11576320 11673220 11831680 12041848 12098560 12393472 12571160 12952576 13168064 13458536 13521920 13762112 13861120 14166880 14367040 14820736 15049216 15052310 15381184 15491840 15728128 16190720 16206848 16342508 16460080 16564352 16823170 16937984 17202640 17436160 17578496 17599624 18525920 18677152 18811520 18930688 19226480 19660160 20113856 20258560 20428135 20705440 21172480 21498880 21973120 21999530 22667008 22987264 23346440 23663360 24083696 25142320 26336128 26917072 27524224 27722240 28333760 28599389 28734080 29641472 30098432 30104620 30762368 30983680 31456256 32381440 32685016 32920160 33128704 33646340 34405280 34872320 35156992 35199248 37051840 37354304 37623040 38452960 39320320 40227712 40517120 40856270 41410880 42344960 43946240 43999060 45334016 45974528 46692880 47326720 48167392 50284640 52672256 53834144 55048448 55444480 56667520 57198778 57468160 59282944 60209240 61524736 61967360 64762880 65370032 65840320 66257408 67292680 68810560 70398496 74103680 74708608 75246080 76905920 78640640 80455424 81034240 81712540 82821760 84689920 87892480 87998120 90668032 93385760 94653440 96334784 100569280 105344512 107668288 110096896 113335040 114397556 114936320 118565888 120418480 123049472 130740064 131680640 132514816 134585360 137621120 140796992 142996945 148207360 149417216 150492160 153811840 157281280 160910848 163425080 165643520 175784960 175996240 186771520 192669568 201138560 210689024 215336576 220193792 226670080 228795112 229872640 240836960 246098944 261480128 263361280 269170720 275242240 281593984 285993890 296414720 298834432 307623680 321821696 326850160 331287040 351992480 373543040 385339136 402277120 430673152 453340160 457590224 481673920 522960256 526722560 538341440 550484480 563187968 571987780 592829440 597668864 615247360 653700320 662574080 703984960 747086080 770678272 804554240 861346304 915180448 963347840 1045920512 1053445120 1076682880 1100968960 1126375936 1143975560 1230494720 1307400640 1407969920 1494172160 1541356544 1609108480 1722692608 1830360896 1926695680 2091841024 2153365760 2252751872 2287951120 2614801280 2815939840 2988344320 3660721792 3853391360 4183682048 4306731520 4575902240 5229602560 5631879680 7321443584 7706782720 8613463040 9151804480 10459205120 11263759360 14642887168 18303608960 20918410240 29285774336 36607217920 73214435840 146428871680
- Sum of all divisors σ(n): 493972214400
- Sum of proper divisors (its aliquot sum) s(n): 347543342720
- 146428871680 is an abundant number, because the sum of its proper divisors (347543342720) is greater than itself. Its abundance is 201114471040
Bases of 146428871680
- Binary: 100010000101111101011101000100000000002
- Hexadecimal: 0x2217D74400
- Base-36: 1V9NYWHS
Squares and roots of 146428871680
- 146428871680 squared (1464288716802) is 21441414461477906022400
- 146428871680 cubed (1464288716803) is 3139642126817444604109108805632000
-
The
square root of 146428871680 is 382660.2562064683 -
The
cube root of 146428871680 is 5270.7882846863
Scales and comparisons
How big is 146428871680?- 146,428,871,680 seconds is equal to 4,655 years, 51 weeks, 1 day, 14 hours, 34 minutes, 40 seconds.
-
To count from 1 to 146,428,871,680 would take you about nine thousand, three hundred eleven 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 146428871680 cubic inches would be around 439.2 feet tall.
Recreational maths with 146428871680
- 146428871680 backwards is 086178824641
- The number of decimal digits it has is: 12
- The sum of 146428871680's digits is 55
- More coming soon!
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The information we have on file for 146428871680 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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