137268934400
137,268,934,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137268934400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
137268934400 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 137268934400:
28 × 52 × 13 × 17 × 37 × 43 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 37 × 43 × 61)See below for interesting mathematical facts about the number 137268934400 from the Numbermatics database.
Names of 137268934400
- Cardinal: 137268934400 can be written as One hundred thirty-seven billion, two hundred sixty-eight million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.372689344 × 1011
Factors of 137268934400
Divisors of 137268934400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 43 50 52 61 64 65 68 74 80 85 86 100 104 122 128 130 136 148 160 170 172 185 200 208 215 221 244 256 260 272 296 305 320 325 340 344 370 400 416 425 430 442 481 488 520 544 559 592 610 629 640 650 680 688 731 740 793 800 832 850 860 884 925 962 976 1037 1040 1075 1088 1105 1118 1184 1220 1258 1280 1300 1360 1376 1462 1480 1525 1586 1591 1600 1664 1700 1720 1768 1850 1924 1952 2074 2080 2150 2176 2210 2236 2257 2368 2405 2440 2516 2600 2623 2720 2752 2795 2924 2960 3050 3145 3172 3182 3200 3328 3400 3440 3536 3655 3700 3848 3904 3965 4148 4160 4300 4352 4420 4472 4514 4736 4810 4880 5032 5185 5200 5246 5440 5504 5525 5590 5848 5920 6100 6290 6344 6364 6400 6800 6880 7072 7310 7400 7696 7808 7930 7955 8177 8296 8320 8600 8840 8944 9028 9472 9503 9620 9760 10064 10370 10400 10492 10880 11008 11050 11180 11285 11696 11840 12025 12200 12580 12688 12728 13115 13481 13600 13760 13975 14144 14620 14800 15392 15616 15725 15860 15910 16354 16592 16640 17200 17680 17888 18056 18275 19006 19240 19520 19825 20128 20683 20740 20800 20984 21760 22100 22360 22570 23392 23680 24050 24400 25160 25376 25456 25925 26230 26962 27047 27200 27520 27950 28288 29240 29341 29600 30784 31450 31720 31820 32708 33184 34099 34400 35360 35776 36112 36550 38012 38369 38480 39040 39650 39775 40256 40885 41366 41480 41600 41968 44200 44591 44720 45140 46784 47360 47515 48100 48800 50320 50752 50912 51850 52460 53924 54094 54400 55040 55900 56425 56576 58480 58682 59200 61568 62900 63440 63640 65416 65575 66368 67405 68198 68800 70720 71552 72224 73100 76024 76738 76960 78080 79300 79550 80512 81770 82732 82960 83200 83936 88400 89182 89440 90280 93568 95030 96200 97051 97600 100640 101504 101824 103415 103700 104920 107848 108188 108800 111800 112850 116960 117364 118400 123136 125800 126880 127280 130832 131150 132736 134810 135235 136396 137600 141440 143104 144448 146200 146705 152048 153476 153920 158600 159100 161024 163540 165464 165920 167872 170495 176800 178364 178880 180560 187136 190060 191845 192400 194102 195200 201280 203008 203648 204425 206830 207400 209840 215696 216376 222955 223600 225700 233920 234728 236800 237575 251600 253760 254560 261664 262300 265472 269620 270470 272792 275200 282880 288896 292400 293410 304096 306952 307840 317200 318200 327080 330928 331840 335744 337025 340990 351611 353600 356728 357760 361120 380120 383690 384800 388204 390400 402560 407296 408850 413660 414800 419680 431392 432752 445910 447200 451400 467840 469456 475150 485255 498797 503200 507520 509120 517075 523328 524600 539240 540940 545584 577792 579683 584800 586820 608192 613904 615680 634400 636400 654160 661856 663680 671488 674050 676175 681980 703222 707200 713456 715520 722240 733525 760240 767380 769600 776408 805120 817700 827320 829600 839360 852475 862784 865504 891820 894400 902800 935680 938912 950300 959225 970510 997594 1006400 1015040 1018240 1034150 1046656 1049200 1078480 1081880 1091168 1114775 1159366 1169600 1173640 1216384 1227808 1261663 1268800 1272800 1308320 1323712 1327360 1348100 1352350 1363960 1406444 1414400 1426912 1444480 1467050 1520480 1534760 1539200 1552816 1635400 1649867 1654640 1659200 1678720 1704950 1725568 1731008 1758055 1783640 1788800 1805600 1877824 1900600 1918450 1941020 1995188 2012800 2036480 2068300 2093312 2098400 2156960 2163760 2182336 2229550 2318732 2339200 2347280 2426275 2432768 2455616 2493985 2523326 2537600 2545600 2616640 2647424 2696200 2704700 2727920 2812888 2853824 2888960 2898415 2934100 3040960 3069520 3078400 3105632 3270800 3299734 3309280 3318400 3357440 3409900 3451136 3462016 3516110 3567280 3577600 3611200 3755648 3801200 3836900 3882040 3990376 4025600 4136600 4196800 4313920 4327520 4364672 4459100 4637464 4678400 4694560 4852550 4911232 4987970 5046652 5075200 5091200 5233280 5294848 5392400 5409400 5455840 5625776 5707648 5796830 5868200 6081920 6139040 6211264 6308315 6541600 6599468 6618560 6636800 6819800 6924032 7032220 7134560 7222400 7511296 7602400 7673800 7764080 7980752 8249335 8273200 8393600 8627840 8655040 8729344 8790275 8918200 9274928 9389120 9705100 9822464 9975940 10093304 10182400 10466560 10784800 10818800 10911680 11251552 11415296 11593660 11736400 12163840 12278080 12422528 12469925 12616630 13083200 13198936 13237120 13639600 14064440 14269120 14444800 14492075 15204800 15347600 15528160 15961504 16498670 16546400 16787200 17255680 17310080 17580550 17836400 18549856 18778240 19410200 19951880 20186608 21448271 21569600 21637600 21823360 22503104 23187320 23472800 24556160 24845056 24939850 25233260 26166400 26397872 26474240 27279200 28128880 28538240 28984150 30409600 30695200 31056320 31541575 31923008 32997340 33092800 34620160 35161100 35672800 37099712 37556480 38820400 39903760 40373216 41246675 42896542 43139200 43275200 43646720 45006208 46374640 46945600 49112320 49879700 50466520 52332800 52795744 54558400 56257760 57076480 57968300 60819200 61390400 62112640 63083150 63846016 65994680 66185600 70322200 71345600 74199424 77640800 79807520 80746432 82493350 85793084 86278400 86550400 90012416 92749280 93891200 99759400 100933040 105591488 107241355 109116800 112515520 115936600 122780800 124225280 126166300 127692032 131989360 132371200 140644400 142691200 148398848 155281600 159615040 161492864 164986700 171586168 173100800 185498560 187782400 199518800 201866080 211182976 214482710 218233600 225031040 231873200 245561600 252332600 263978720 281288800 285382400 310563200 319230080 322985728 329973400 343172336 370997120 399037600 403732160 422365952 428965420 450062080 463746400 504665200 527957440 536206775 562577600 621126400 638460160 659946800 686344672 741994240 798075200 807464320 857930840 927492800 1009330400 1055914880 1072413550 1125155200 1319893600 1372689344 1596150400 1614928640 1715861680 1854985600 2018660800 2111829760 2144827100 2250310400 2639787200 2745378688 3192300800 3431723360 3709971200 4037321600 4289654200 5279574400 5490757376 6863446720 8074643200 8579308400 10559148800 13726893440 17158616800 27453786880 34317233600 68634467200 137268934400
- Sum of all divisors σ(n): 413819638848
- Sum of proper divisors (its aliquot sum) s(n): 276550704448
- 137268934400 is an abundant number, because the sum of its proper divisors (276550704448) is greater than itself. Its abundance is 139281770048
Bases of 137268934400
- Binary: 11111111101011101110110110111000000002
- Hexadecimal: 0x1FF5DDB700
- Base-36: 1R26DNNK
Squares and roots of 137268934400
- 137268934400 squared (1372689344002) is 18842760351311503360000
- 137268934400 cubed (1372689344003) is 2586525634579099708689219584000000
-
The
square root of 137268934400 is 370498.2245571495 -
The
cube root of 137268934400 is 5158.5077510911
Scales and comparisons
How big is 137268934400?- 137,268,934,400 seconds is equal to 4,364 years, 37 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,268,934,400 would take you about eight thousand, seven hundred twenty-nine 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 137268934400 cubic inches would be around 429.9 feet tall.
Recreational maths with 137268934400
- 137268934400 backwards is 004439862731
- The number of decimal digits it has is: 12
- The sum of 137268934400's digits is 47
- More coming soon!
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