137055409920

Names of 137055409920

• Cardinal: 137055409920 can be written as One hundred thirty-seven billion, fifty-five million, four hundred nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3705540992 × 10¹¹

Factors of 137055409920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 612

Divisors of 137055409920

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 64 65 66 72 78 80 88 90 96 99 104 110 117 120 128 130 132 143 144 156 160 165 176 180 192 195 198 208 220 234 240 256 260 264 271 286 288 307 312 320 330 352 360 384 390 396 416 429 440 468 480 495 520 528 542 572 576 585 614 624 640 660 704 715 720 768 780 792 813 832 858 880 921 936 960 990 1040 1056 1084 1144 1152 1170 1228 1248 1280 1287 1320 1355 1408 1430 1440 1535 1560 1584 1626 1664 1716 1760 1842 1872 1920 1980 2080 2112 2145 2168 2288 2304 2340 2439 2456 2496 2574 2640 2710 2763 2816 2860 2880 2981 3070 3120 3168 3252 3328 3377 3432 3520 3523 3684 3744 3840 3960 3991 4065 4160 4224 4290 4336 4576 4605 4680 4878 4912 4992 5148 5280 5420 5526 5720 5760 5962 6140 6240 6336 6435 6504 6754 6864 7040 7046 7368 7488 7920 7982 8130 8320 8448 8580 8672 8943 9152 9210 9360 9756 9824 9984 10131 10296 10560 10569 10840 11052 11440 11520 11924 11973 12195 12280 12480 12672 12870 13008 13508 13728 13815 14080 14092 14736 14905 14976 15840 15964 16260 16640 16885 17160 17344 17615 17886 18304 18420 18720 19512 19648 19955 20262 20592 21120 21138 21680 22104 22880 23848 23946 24390 24560 24960 25344 25740 26016 26829 27016 27456 27630 28184 29472 29810 29952 30393 31680 31707 31928 32520 33770 34320 34688 35230 35772 35919 36608 36840 37440 38753 39024 39296 39910 40524 41184 42240 42276 43360 43901 44208 44715 45760 47696 47892 48780 49120 49920 50655 51480 52032 52845 53658 54032 54912 55260 56368 58944 59620 59865 60786 63360 63414 63856 65040 67540 68640 69376 70460 71544 71838 73680 74880 77506 78048 78592 79820 81048 82368 83197 84552 86720 87802 88416 89430 91520 95392 95784 97560 98240 101310 102960 104064 105690 107316 108064 109824 110520 112736 116259 117888 119240 119730 121572 126720 126828 127712 130080 131703 134145 135080 137280 140920 143088 143676 147360 149760 151965 155012 156096 158535 159640 162096 164736 166394 169104 173440 175604 176832 178860 179595 183040 190784 191568 193765 195120 196480 202620 205920 208128 211380 214632 216128 219505 221040 225472 232518 235776 238480 239460 243144 249591 253656 255424 260160 263406 268290 270160 274560 281840 286176 287352 294720 303930 310024 312192 317070 319280 324192 329472 332788 338208 346880 348777 351208 353664 357720 359190 381568 383136 387530 390240 392960 395109 405240 411840 415985 422760 429264 432256 439010 442080 450944 465036 476960 478920 486288 499182 507312 510848 520320 526812 536580 540320 549120 563680 572352 574704 581295 589440 607860 620048 624384 634140 638560 648384 658515 665576 676416 697554 702416 707328 715440 718380 748773 763136 766272 775060 780480 790218 810480 823680 831970 845520 858528 864512 878020 884160 901888 915167 930072 953920 957840 972576 998364 1014624 1021696 1040640 1053624 1073160 1080640 1081561 1127360 1144704 1149408 1162590 1178880 1215720 1240096 1247955 1268280 1277120 1296768 1317030 1331152 1352832 1395108 1404832 1430880 1436760 1497546 1532544 1550120 1560960 1580436 1620960 1647360 1663940 1691040 1717056 1743885 1756040 1768320 1830334 1860144 1907840 1915680 1945152 1975545 1996728 2029248 2107248 2146320 2161280 2163122 2254720 2289408 2298816 2325180 2431440 2480192 2495910 2536560 2554240 2593536 2634060 2662304 2705664 2745501 2790216 2809664 2861760 2873520 2995092 3065088 3100240 3121920 3160872 3241920 3244683 3327880 3382080 3434112 3487770 3512080 3536640 3660668 3720288 3743865 3815680 3831360 3890304 3951090 3993456 4058496 4214496 4292640 4322560 4326244 4509440 4575835 4597632 4650360 4862880 4960384 4991820 5073120 5108480 5268120 5324608 5407805 5491002 5580432 5619328 5723520 5747040 5990184 6200480 6321744 6483840 6489366 6655760 6764160 6868224 6975540 7024160 7321336 7440576 7487730 7662720 7780608 7902180 7986912 8116992 8236503 8428992 8585280 8652488 9151670 9195264 9300720 9725760 9734049 9920768 9983640 10146240 10536240 10649216 10815610 10982004 11160864 11238656 11447040 11494080 11897171 11980368 12400960 12643488 12967680 12978732 13311520 13528320 13727505 13951080 14048320 14642672 14881152 14975460 15325440 15804360 15973824 16223415 16473006 16857984 17170560 17304976 18303340 18601440 19451520 19468098 19967280 20292480 21072480 21298432 21631220 21964008 22321728 22988160 23794342 23960736 24801920 25286976 25957464 26623040 27455010 27902160 28096640 29285344 29762304 29950920 31608720 31947648 32446830 32946012 33715968 34341120 34609952 35691513 36606680 37202880 38903040 38936196 39934560 40584960 41182515 42144960 43262440 43928016 44643456 45976320 47588684 47921472 48670245 49603840 50573952 51914928 53246080 54910020 55804320 56193280 58570688 59485855 59901840 63217440 63895296 64893660 65892024 69219904 71383026 73213360 74405760 77872392 79869120 82365030 84289920 86524880 87856032 89286912 95177368 95842944 97340490 101147904 103829856 106492160 107074539 109820040 111608640 117141376 118971710 119803680 126434880 129787320 131784048 138439808 142766052 146426720 148811520 155744784 159738240 164730060 168579840 173049760 175712064 178457565 190354736 191685888 194680980 207659712 214149078 219640080 223217280 234282752 237943420 239607360 252869760 259574640 263568096 276879616 285532104 292853440 311489568 319476480 329460120 346099520 351424128 356915130 380709472 389361960 415319424 428298156 439280160 446434560 475886840 479214720 505739520 519149280 527136192 535372695 571064208 585706880 622979136 658920240 692199040 702848256 713830260 761418944 778723920 830638848 856596312 878560320 951773680 958429440 1038298560 1054272384 1070745390 1142128416 1171413760 1245958272 1317840480 1384398080 1427660520 1522837888 1557447840 1713192624 1757120640 1903547360 2076597120 2108544768 2141490780 2284256832 2491916544 2635680960 2855321040 3045675776 3114895680 3426385248 3514241280 3807094720 4153194240 4282981560 4568513664 5271361920 5710642080 6229791360 6852770496 7614189440 8565963120 9137027328 10542723840 11421284160 12459582720 13705540992 15228378880 17131926240 22842568320 27411081984 34263852480 45685136640 68527704960 137055409920
• Sum of all divisors σ(n): 560976159744
• Sum of proper divisors (its aliquot sum) s(n): 423920749824
• 137055409920 is an abundant number, because the sum of its proper divisors (423920749824) is greater than itself. Its abundance is 286865339904

Bases of 137055409920

• Binary: 1111111101001001000111001011100000000₂
• Hexadecimal: 0x1FE9239700
• Base-36: 1QYN9340

Squares and roots of 137055409920

• 137055409920 squared (137055409920²) is 18784185388339234406400
• 137055409920 cubed (137055409920³) is 2574474228412108159588119871488000
• The square root of 137055409920 is 370209.9538370085
• The cube root of 137055409920 is 5155.8316435361

Scales and comparisons

• 137,055,409,920 seconds is equal to 4,357 years, 48 weeks, 5 days, 11 hours, 12 minutes.
• To count from 1 to 137,055,409,920 would take you about eight thousand, seven hundred fifteen 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 137055409920 cubic inches would be around 429.7 feet tall.

Recreational maths with 137055409920

• 137055409920 backwards is 029904550731
• 137055409920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137055409920's digits is 45
• More coming soon!