137328130080

Names of 137328130080

• Cardinal: 137328130080 can be written as One hundred thirty-seven billion, three hundred twenty-eight million, one hundred thirty thousand and eighty.

Scientific notation

• Scientific notation: 1.3732813008 × 10¹¹

Factors of 137328130080

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1801

Divisors of 137328130080

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 31 32 36 38 40 45 48 54 57 60 62 72 76 80 90 93 95 96 108 114 120 124 135 144 152 155 160 171 180 186 190 216 228 240 248 270 279 285 288 304 310 342 360 372 380 432 456 465 480 496 513 540 558 570 589 608 620 684 720 744 760 837 855 864 912 930 961 992 1026 1080 1116 1140 1178 1240 1368 1395 1440 1488 1520 1674 1710 1741 1767 1824 1860 1922 2052 2160 2232 2280 2356 2480 2565 2736 2790 2883 2945 2976 3040 3348 3420 3482 3534 3720 3844 4104 4185 4320 4464 4560 4712 4805 4960 5130 5223 5301 5472 5580 5766 5890 6696 6840 6964 7068 7440 7688 8208 8370 8649 8705 8835 8928 9120 9424 9610 10260 10446 10602 11160 11532 11780 13392 13680 13928 14136 14415 14880 15376 15669 15903 16416 16740 17298 17410 17670 18259 18848 19220 20520 20892 21204 22320 23064 23560 25947 26115 26505 26784 27360 27856 28272 28830 30752 31338 31806 33079 33480 34596 34820 35340 36518 38440 41040 41784 42408 43245 44640 46128 47007 47120 51894 52230 53010 53971 54777 55712 56544 57660 62676 63612 66158 66960 69192 69640 70680 73036 76880 78345 79515 82080 83568 84816 86490 91295 92256 94014 94240 99237 103788 104460 106020 107942 109554 115320 125352 127224 129735 132316 133920 138384 139280 141360 146072 153760 156690 159030 161913 164331 165395 167136 169632 172980 182590 188028 198474 207576 208920 212040 215884 219108 230640 235035 250704 254448 259470 264632 269855 273885 276768 278560 282720 292144 297711 313380 318060 323826 328662 330790 345960 365180 376056 396948 415152 417840 424080 431768 438216 461280 470070 485739 492993 496185 501408 508896 518940 529264 539710 547770 584288 595422 626760 636120 647652 657324 661580 691920 730360 752112 793896 809565 821655 830304 835680 848160 863536 876432 893133 940140 971478 985986 992370 1025449 1037880 1058528 1079420 1095540 1190844 1253520 1272240 1295304 1314648 1323160 1383840 1457217 1460720 1488555 1504224 1587792 1619130 1643310 1673101 1727072 1752864 1786266 1880280 1942956 1971972 1984740 2050898 2075760 2158840 2191080 2381688 2428695 2464965 2507040 2544480 2590608 2629296 2646320 2914434 2921440 2977110 3076347 3175584 3238260 3286620 3346202 3572532 3760560 3885912 3943944 3969480 4101796 4151520 4317680 4382160 4465665 4763376 4857390 4929930 5019303 5127245 5181216 5258592 5292640 5828868 5954220 6152694 6476520 6573240 6692404 7145064 7286085 7521120 7771824 7887888 7938960 8203592 8365505 8635360 8764320 8931330 9229041 9526752 9714780 9859860 10038606 10254490 11657736 11908440 12305388 12953040 13146480 13384808 14290128 14572170 15057909 15381735 15543648 15775776 15877920 16407184 16731010 17862660 18458082 19429560 19719720 20077212 20508980 23315472 23816880 24610776 25096515 25906080 26292960 26769616 27687123 28580256 29144340 30115818 30763470 31788919 32814368 33462020 35725320 36916164 38859120 39439440 40154424 41017960 45173727 46145205 46630944 47633760 49221552 50193030 53539232 55374246 58288680 60231636 61526940 63577838 66924040 71450640 73832328 75289545 77718240 78878880 80308848 82035920 90347454 92290410 95366757 98443104 100386060 110748492 116577360 120463272 123053880 127155676 133848080 138435615 142901280 147664656 150579090 158944595 160617696 164071840 180694908 184580820 190733514 200772120 221496984 225868635 233154720 240926544 246107760 254311352 267696160 276871230 286100271 295329312 301158180 317889190 361389816 369161640 381467028 401544240 442993968 451737270 476833785 481853088 492215520 508622704 553742460 572200542 602316360 635778380 722779632 738323280 762934056 803088480 858300813 885987936 903474540 953667570 1017245408 1107484920 1144401084 1204632720 1271556760 1430501355 1445559264 1476646560 1525868112 1716601626 1806949080 1907335140 2214969840 2288802168 2409265440 2543113520 2861002710 3051736224 3433203252 3613898160 3814670280 4291504065 4429939680 4577604336 5086227040 5722005420 6866406504 7227796320 7629340560 8583008130 9155208672 11444010840 13732813008 15258681120 17166016260 22888021680 27465626016 34332032520 45776043360 68664065040 137328130080
• Sum of all divisors σ(n): 523093334400
• Sum of proper divisors (its aliquot sum) s(n): 385765204320
• 137328130080 is an abundant number, because the sum of its proper divisors (385765204320) is greater than itself. Its abundance is 248437074240

Bases of 137328130080

• Binary: 1111111111001011001001111100000100000₂
• Hexadecimal: 0x1FF964F820
• Base-36: 1R35MFC0

Squares and roots of 137328130080

• 137328130080 squared (137328130080²) is 18859015311269400806400
• 137328130080 cubed (137328130080³) is 2589873307846715963864956096512000
• The square root of 137328130080 is 370578.1025371035
• The cube root of 137328130080 is 5159.2491606253

Scales and comparisons

• 137,328,130,080 seconds is equal to 4,366 years, 31 weeks, 4 days, 22 hours, 48 minutes.
• To count from 1 to 137,328,130,080 would take you about eight thousand, seven hundred thirty-three 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 137328130080 cubic inches would be around 429.9 feet tall.

Recreational maths with 137328130080

• 137328130080 backwards is 080031823731
• 137328130080 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137328130080's digits is 36
• More coming soon!