157013528006400
157,013,528,006,400 is an even composite number composed of seven prime numbers multiplied together.
157013528006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 157013528006400:
28 × 3 × 52 × 13 × 61 × 1259 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 61 × 1259 × 8191)See below for interesting mathematical facts about the number 157013528006400 from the Numbermatics database.
Names of 157013528006400
- Cardinal: 157013528006400 can be written as One hundred fifty-seven trillion, thirteen billion, five hundred twenty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.570135280064 × 1014
Factors of 157013528006400
Divisors of 157013528006400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 75 78 80 96 100 104 120 122 128 130 150 156 160 183 192 195 200 208 240 244 256 260 300 305 312 320 325 366 384 390 400 416 480 488 520 600 610 624 640 650 732 768 780 793 800 832 915 960 975 976 1040 1200 1220 1248 1259 1280 1300 1464 1525 1560 1586 1600 1664 1830 1920 1950 1952 2080 2379 2400 2440 2496 2518 2600 2928 3050 3120 3172 3200 3328 3660 3777 3840 3900 3904 3965 4160 4575 4758 4800 4880 4992 5036 5200 5856 6100 6240 6295 6344 6400 7320 7554 7800 7808 7930 8191 8320 9150 9516 9600 9760 9984 10072 10400 11712 11895 12200 12480 12590 12688 14640 15108 15600 15616 15860 16367 16382 16640 18300 18885 19032 19200 19520 19825 20144 20800 23424 23790 24400 24573 24960 25180 25376 29280 30216 31200 31475 31720 32734 32764 36600 37770 38064 39040 39650 40288 40955 41600 46848 47580 48800 49101 49146 49920 50360 50752 58560 59475 60432 62400 62950 63440 65468 65528 73200 75540 76128 76799 78080 79300 80576 81835 81910 83200 94425 95160 97600 98202 98292 100720 101504 106483 117120 118950 120864 122865 124800 125900 126880 130936 131056 146400 151080 152256 153598 158600 161152 163670 163820 188850 190320 195200 196404 196584 201440 203008 204775 212966 230397 234240 237900 241728 245505 245730 249600 251800 253760 261872 262112 292800 302160 304512 307196 317200 319449 322304 327340 327640 377700 380640 383995 390400 392808 393168 402880 409175 409550 425932 460794 475800 483456 491010 491460 499651 503600 507520 523744 524224 532415 585600 604320 609024 614325 614392 634400 638898 654680 655280 755400 761280 767990 785616 786336 805760 818350 819100 851864 921588 951600 966912 982020 982920 998387 999302 1007200 1015040 1047488 1048448 1064830 1151985 1171200 1208640 1227525 1228650 1228784 1268800 1277796 1309360 1310560 1498953 1510800 1522560 1535980 1571232 1572672 1597245 1611520 1636700 1638200 1703728 1843176 1903200 1919975 1964040 1965840 1996774 1998604 2014400 2094976 2096896 2129660 2303970 2417280 2455050 2457300 2457568 2498255 2537600 2555592 2618720 2621120 2662075 2995161 2997906 3021600 3045120 3071960 3142464 3145344 3194490 3273400 3276400 3407456 3686352 3806400 3839950 3928080 3931680 3993548 3997208 4028800 4189952 4259320 4607940 4834560 4910100 4914600 4915136 4991935 4996510 5075200 5111184 5237440 5242240 5324150 5759925 5990322 5995812 6043200 6143920 6284928 6290688 6388980 6495463 6546800 6552800 6814912 7372704 7494765 7612800 7679900 7856160 7863360 7986225 7987096 7994416 8057600 8518640 9215880 9820200 9829200 9830272 9983870 9993020 10222368 10312469 10474880 10484480 10648300 11519850 11980644 11991624 12086400 12287840 12491275 12569856 12777960 12990926 13093600 13105600 13629824 14745408 14975805 14989530 15225600 15359800 15712320 15726720 15972450 15974192 15988832 17037280 18431760 19486389 19640400 19658400 19660544 19967740 19986040 20444736 20624938 20949760 21296600 23039700 23961288 23983248 24172800 24575680 24959675 24982550 25555920 25981852 26187200 26211200 27259648 29490816 29951610 29979060 30719600 30937407 31424640 31453440 31944900 31948384 31977664 32477315 34074560 36863520 37473825 38972778 39280800 39316800 39935480 39972080 40889472 41249876 42593200 46079400 47922576 47966496 49151360 49919350 49965100 51111840 51562345 51963704 52374400 52422400 58981632 59903220 59958120 61439200 61874814 62849280 63889800 63896768 63955328 64954630 68149120 73727040 74879025 74947650 77945556 78561600 78633600 79870960 79944160 81778944 82499752 85186400 92158800 95845152 95932992 97431945 98302720 99838700 99930200 102223680 103124690 103927408 104748800 119806440 119916240 122878400 123749628 127779600 127793536 127910656 129909260 134062097 136298240 147454080 149758050 149895300 154687035 155891112 157123200 157267200 159741920 159888320 162386575 164999504 170372800 184317600 191690304 191865984 194863890 199677400 199860400 204447360 206249380 207854816 239612880 239832480 245756800 247499256 255559200 255587072 257811725 259818520 268124194 294908160 299516100 299790600 309374070 311782224 314246400 319483840 319776640 324773150 329999008 340745600 368635200 383380608 383731968 389727780 399354800 399720800 402186291 408894720 412498760 415709632 479225760 479664960 487159725 491513600 494998512 511118400 515623450 519637040 536248388 599032200 599581200 618748140 623564448 629060609 638967680 639553280 649546300 659998016 670310485 681491200 737270400 766761216 773435175 779455560 798709600 799441600 804372582 824997520 831419264 958451520 959329920 974319450 989997024 1022236800 1031246900 1039274080 1072496776 1198064400 1199162400 1237496280 1247128896 1258121218 1277935360 1299092600 1319996032 1340620970 1474540800 1546870350 1558911120 1597419200 1598883200 1608745164 1649995040 1662838528 1887181827 1916903040 1918659840 1948638900 1979994048 2010931455 2044473600 2062493800 2078548160 2144993552 2396128800 2398324800 2474992560 2494257792 2516242436 2598185200 2639992064 2681241940 3093740700 3117822240 3145303045 3194838400 3197766400 3217490328 3299990080 3351552425 3774363654 3833806080 3897277800 3959988096 4021862910 4124987600 4157096320 4289987104 4792257600 4796649600 4949985120 4988515584 5032484872 5196370400 5362483880 6187481400 6235644480 6290606090 6389676800 6434980656 6599980160 6703104850 7548727308 7794555600 7919976192 8043725820 8177787917 8249975200 8314192640 8579974208 9435909135 9584515200 9593299200 9899970240 10054657275 10064969744 10392740800 10724967760 12374962800 12471288960 12581212180 12869961312 13199960320 13406209700 15097454616 15589111200 15726515225 16087451640 16355575834 16499950400 17159948416 18871818270 19169030400 19799940480 20109314550 20129939488 20785481600 21449935520 24533363751 24749925600 24942577920 25162424360 25739922624 26812419400 30194909232 31178222400 31453030450 32174903280 32711151668 32999900800 34319896832 37743636540 39599880960 40218629100 40259878976 40888939585 41570963200 42899871040 47179545675 49066727502 49499851200 50324848720 51479845248 53624838800 60389818464 62356444800 62906060900 64349806560 65422303336 65999801600 75487273080 80437258200 80519757952 81777879170 85799742080 94359091350 98133455004 98999702400 100649697440 102959690496 107249677600 120779636928 122666818755 124712889600 125812121800 128699613120 130844606672 150974546160 160874516400 161039515904 163555758340 171599484160 188718182700 196266910008 197999404800 201299394880 204444697925 214499355200 241559273856 245333637510 251624243600 257399226240 261689213344 301949092320 321749032800 327111516680 377436365400 392533820016 402598789760 408889395850 428998710400 483118547712 490667275020 503248487200 514798452480 523378426688 603898184640 613334093775 643498065600 654223033360 754872730800 785067640032 805197579520 817778791700 857997420800 981334550040 1006496974400 1046756853376 1207796369280 1226668187550 1286996131200 1308446066720 1509745461600 1570135280064 1635557583400 1962669100080 2012993948800 2093513706752 2415592738560 2453336375100 2573992262400 2616892133440 3019490923200 3140270560128 3271115166800 3925338200160 4025987897600 4906672750200 5233784266880 6038981846400 6280541120256 6542230333600 7850676400320 9813345500400 10467568533760 12077963692800 13084460667200 15701352800640 19626691000800 26168921334400 31402705601280 39253382001600 52337842668800 78506764003200 157013528006400
- Sum of all divisors σ(n): 567705104547840
- Sum of proper divisors (its aliquot sum) s(n): 410691576541440
- 157013528006400 is an abundant number, because the sum of its proper divisors (410691576541440) is greater than itself. Its abundance is 253678048535040
Bases of 157013528006400
- Binary: 1000111011001101100011111000111111001111000000002
- Hexadecimal: 0x8ECD8F8FCF00
- Base-36: 1JNN0OLT6O
Squares and roots of 157013528006400
- 157013528006400 squared (1570135280064002) is 24653247977016557158440960000
- 157013528006400 cubed (1570135280064003) is 3870893441688013340913376075120902144000000
-
The
square root of 157013528006400 is 12530503.9007375917 -
The
cube root of 157013528006400 is 53948.4565332929
Scales and comparisons
How big is 157013528006400?- 157,013,528,006,400 seconds is equal to 4,992,544 years, 26 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 157,013,528,006,400 would take you about twelve million, four hundred eighty-one thousand, three hundred sixty-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 157013528006400 cubic inches would be around 4495.7 feet tall.
Recreational maths with 157013528006400
- 157013528006400 backwards is 004600825310751
- The number of decimal digits it has is: 15
- The sum of 157013528006400's digits is 42
- More coming soon!
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The information we have on file for 157013528006400 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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