137009343744
137,009,343,744 is an even composite number composed of six prime numbers multiplied together.
What does the number 137009343744 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
137009343744 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137009343744:
28 × 32 × 72 × 132 × 43 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 43 × 167)See below for interesting mathematical facts about the number 137009343744 from the Numbermatics database.
Names of 137009343744
- Cardinal: 137009343744 can be written as One hundred thirty-seven billion, nine million, three hundred forty-three thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.37009343744 × 1011
Factors of 137009343744
Divisors of 137009343744
- Number of divisors d(n): 972
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 48 49 52 56 63 64 72 78 84 86 91 96 98 104 112 117 126 128 129 144 147 156 167 168 169 172 182 192 196 208 224 234 252 256 258 273 288 294 301 312 334 336 338 344 364 384 387 392 416 441 448 468 501 504 507 516 546 559 576 588 602 624 637 668 672 676 688 728 768 774 784 819 832 882 896 903 936 1002 1008 1014 1032 1092 1118 1152 1169 1176 1183 1204 1248 1274 1336 1344 1352 1376 1456 1503 1521 1548 1568 1638 1664 1677 1764 1792 1806 1872 1911 2004 2016 2028 2064 2107 2171 2184 2236 2304 2338 2352 2366 2408 2496 2548 2672 2688 2704 2709 2752 2912 3006 3042 3096 3136 3276 3328 3354 3507 3528 3549 3612 3744 3822 3913 4008 4032 4056 4128 4214 4342 4368 4472 4676 4704 4732 4816 4992 5031 5096 5344 5376 5408 5418 5504 5733 5824 6012 6084 6192 6272 6321 6513 6552 6708 7014 7056 7098 7181 7224 7267 7488 7644 7826 8016 8064 8112 8183 8256 8281 8428 8684 8736 8944 9352 9408 9464 9632 9984 10062 10192 10521 10647 10688 10816 10836 11008 11466 11648 11739 12024 12168 12384 12544 12642 13026 13104 13416 14028 14112 14196 14362 14448 14534 14976 15197 15288 15652 16032 16128 16224 16366 16512 16562 16856 17368 17472 17888 18704 18816 18928 18963 19264 19539 20124 20384 21042 21294 21376 21543 21632 21672 21801 22932 23296 23478 24048 24336 24549 24768 24843 25284 26052 26208 26832 27391 28056 28223 28224 28392 28724 28896 29068 29952 30394 30576 31304 32064 32448 32732 33024 33124 33712 34736 34944 35217 35776 37408 37632 37856 37926 38528 39078 40248 40768 42084 42588 42752 43086 43264 43344 43602 45591 45864 46956 48096 48672 49098 49536 49686 50267 50568 50869 52104 52416 53664 54782 56112 56446 56448 56784 57448 57792 58136 60788 61152 62608 64128 64629 64896 65403 65464 66248 67424 69472 69888 70434 71552 73647 74529 74816 75712 75852 77056 78156 80496 81536 82173 84168 84669 85176 86172 86688 87204 91182 91728 93353 93912 96192 97344 98196 99072 99372 100534 101136 101738 104208 104832 106379 107328 109564 112224 112892 112896 113568 114896 115584 116272 121576 122304 125216 128256 129258 129792 130806 130928 132496 134848 136773 138944 140868 143104 147294 149058 149632 150801 151424 151704 152607 156312 160992 163072 164346 168336 169338 170352 172344 173376 174408 182364 183456 186706 187824 192384 194688 196392 197561 198744 201068 202272 203476 208416 209664 212758 214656 219128 224448 225784 227136 229792 231168 232544 243152 244608 246519 250432 254007 258516 261612 261856 264992 269696 273546 277888 280059 281736 294588 298116 299264 301602 302848 303408 305214 312624 319137 321984 328692 336672 338676 340704 344688 346752 348816 351869 356083 364728 366912 373412 375648 384768 389376 392784 395122 397488 402136 404544 406952 416832 425516 429312 438256 448896 451568 452403 454272 457821 459584 465088 486304 489216 493038 500864 508014 517032 523224 523712 529984 539392 547092 555776 560118 563472 589176 592683 596232 603204 606816 610428 625248 638274 643968 653471 657384 673344 677352 681408 689376 693504 697632 703738 712166 729456 733824 746824 751296 785568 790244 794976 804272 809088 813904 833664 840177 851032 876512 897792 903136 904806 908544 915642 919168 930176 957411 972608 986076 1001728 1016028 1034064 1046448 1047424 1055607 1059968 1068249 1094184 1120236 1126944 1178352 1185366 1192464 1206408 1213589 1213632 1220856 1250496 1276548 1287936 1306942 1314768 1346688 1354704 1362816 1378752 1382927 1395264 1407476 1424332 1458912 1467648 1493648 1502592 1571136 1580488 1589952 1608544 1618176 1627808 1667328 1680354 1702064 1753024 1778049 1806272 1809612 1831284 1838336 1860352 1914822 1945216 1960413 1972152 2032056 2068128 2092896 2094848 2111214 2119936 2136498 2188368 2240472 2253888 2356704 2370732 2384928 2412816 2427178 2427264 2441712 2500992 2553096 2613884 2629536 2693376 2709408 2725632 2757504 2765854 2790528 2814952 2848664 2917824 2987296 3005184 3142272 3160976 3166821 3179904 3204747 3217088 3255616 3360708 3404128 3506048 3556098 3612544 3619224 3640767 3662568 3829644 3890432 3920826 3944304 4064112 4136256 4148781 4185792 4222428 4272996 4376736 4480944 4507776 4574297 4713408 4741464 4769856 4825632 4854356 4854528 4883424 5001984 5106192 5227768 5259072 5418816 5515008 5531708 5581056 5629904 5697328 5835648 5881239 5974592 6284544 6321952 6333642 6359808 6409494 6434176 6511232 6721416 6808256 7012096 7112196 7225088 7238448 7281534 7325136 7659288 7841652 7888608 8128224 8272512 8297562 8371584 8444856 8495123 8545992 8753472 8961888 9015552 9148594 9426816 9482928 9539712 9651264 9708712 9766848 10212384 10455536 10518144 10837632 10922301 11063416 11259808 11394656 11671296 11762478 11949184 12446343 12643904 12667284 12818988 12868352 13022464 13442832 13616512 13722891 14224392 14476896 14563068 14650272 15318576 15683304 15777216 16256448 16545024 16595124 16743168 16889712 16990246 17091984 17506944 17923776 18297188 18853632 18965856 19079424 19302528 19417424 19533696 20424768 20911072 21036288 21675264 21844602 22126832 22519616 22789312 23524956 23898368 24892686 25287808 25334568 25485369 25637976 26885664 27233024 27445782 28448784 28953792 29126136 29300544 30637152 31366608 31554432 32512896 33190248 33779424 33980492 34183968 35013888 35847552 36594376 37931712 38605056 38834848 39067392 40849536 41168673 41822144 43689204 44253664 45039232 45578624 47049912 49785372 50575616 50669136 50970738 51275952 53771328 54891564 56897568 57907584 58252272 58601088 59465861 61274304 62733216 63108864 65025792 66380496 67558848 67960984 68367936 71695104 73188752 75863424 76456107 77669696 81699072 82337346 83644288 87378408 88507328 90078464 91157248 94099824 99570744 101338272 101941476 102551904 107542656 109783128 113795136 115815168 116504544 117202176 118931722 122548608 125466432 132760992 135117696 135921968 136735872 146377504 151726848 152912214 155339392 164674692 167288576 174756816 177014656 178397583 188199648 199141488 202676544 203882952 205103808 215085312 219566256 227590272 233009088 237863444 245097216 250932864 265521984 270235392 271843936 273471744 292755008 305824428 310678784 329349384 349513632 354029312 356795166 376399296 398282976 405353088 407765904 410207616 439132512 455180544 466018176 475726888 501865728 531043968 535192749 543687872 585510016 611648856 658698768 699027264 713590332 752798592 796565952 810706176 815531808 820415232 878265024 932036352 951453776 1062087936 1070385498 1087375744 1171020032 1223297712 1317397536 1398054528 1427180664 1505597184 1593131904 1631063616 1756530048 1902907552 2140770996 2174751488 2446595424 2634795072 2796109056 2854361328 3186263808 3262127232 3513060096 3805815104 4281541992 4893190848 5269590144 5708722656 6524254464 7611630208 8563083984 9786381696 10539180288 11417445312 15223260416 17126167968 19572763392 22834890624 34252335936 45669781248 68504671872 137009343744
- Sum of all divisors σ(n): 512214839136
- Sum of proper divisors (its aliquot sum) s(n): 375205495392
- 137009343744 is an abundant number, because the sum of its proper divisors (375205495392) is greater than itself. Its abundance is 238196151648
Bases of 137009343744
- Binary: 11111111001100110010010101101000000002
- Hexadecimal: 0x1FE664AD00
- Base-36: 1QXVTQ80
Squares and roots of 137009343744
- 137009343744 squared (1370093437442) is 18771560273161551937536
- 137009343744 cubed (1370093437443) is 2571879154076805607054379040374784
-
The
square root of 137009343744 is 370147.7323231903 -
The
cube root of 137009343744 is 5155.2539305681
Scales and comparisons
How big is 137009343744?- 137,009,343,744 seconds is equal to 4,356 years, 24 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
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To count from 1 to 137,009,343,744 would take you about eight thousand, seven hundred twelve 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 137009343744 cubic inches would be around 429.6 feet tall.
Recreational maths with 137009343744
- 137009343744 backwards is 447343900731
- The number of decimal digits it has is: 12
- The sum of 137009343744's digits is 45
- More coming soon!
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The information we have on file for 137009343744 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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