137401684000
137,401,684,000 is an even composite number composed of six prime numbers multiplied together.
137401684000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137401684000:
25 × 53 × 73 × 17 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 43 × 137)See below for interesting mathematical facts about the number 137401684000 from the Numbermatics database.
Names of 137401684000
- Cardinal: 137401684000 can be written as One hundred thirty-seven billion, four hundred one million, six hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.37401684 × 1011
Factors of 137401684000
Divisors of 137401684000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 43 49 50 56 68 70 80 85 86 98 100 112 119 125 136 137 140 160 170 172 175 196 200 215 224 238 245 250 272 274 280 301 340 343 344 350 392 400 425 430 476 490 500 544 548 560 595 602 680 685 686 688 700 731 784 800 833 850 860 875 952 959 980 1000 1075 1096 1120 1190 1204 1225 1360 1370 1372 1376 1400 1462 1505 1568 1666 1700 1715 1720 1750 1904 1918 1960 2000 2107 2125 2150 2192 2329 2380 2408 2450 2720 2740 2744 2800 2924 2975 3010 3332 3400 3425 3430 3440 3500 3655 3808 3836 3920 4000 4165 4214 4250 4300 4384 4658 4760 4795 4816 4900 5117 5375 5480 5488 5600 5831 5848 5891 5950 6020 6125 6664 6713 6800 6850 6860 6880 7000 7310 7525 7672 7840 8330 8428 8500 8575 8600 9316 9520 9590 9632 9800 10234 10535 10750 10960 10976 11645 11662 11696 11782 11900 12040 12250 13328 13426 13600 13700 13720 14000 14620 14749 14875 15050 15344 16303 16660 16856 17000 17125 17150 17200 18275 18632 19040 19180 19600 20468 20825 21070 21500 21920 23290 23324 23392 23564 23800 23975 24080 24500 25585 26656 26852 27400 27440 28000 29155 29240 29455 29498 29750 30100 30688 32606 33320 33565 33712 34000 34250 34300 34400 35819 36550 37264 37625 38360 39200 40936 41237 41650 42140 42875 43000 46580 46648 46991 47128 47600 47950 48160 49000 51170 52675 53704 54800 54880 58225 58310 58480 58910 58996 59500 60200 65212 66640 67130 67424 68000 68500 68600 71638 73100 73745 74528 75250 76720 81515 81872 82474 83300 84280 85750 86000 91375 93160 93296 93982 94256 95200 95900 98000 100147 102340 104125 105350 107408 109600 114121 116450 116620 116960 117820 117992 119000 119875 120400 127925 130424 133280 134260 137000 137200 143276 145775 146200 147275 147490 150500 153440 163030 163744 164948 166600 167825 168560 171500 172000 179095 182750 186320 186592 187964 188512 191800 196000 200294 204680 206185 208250 210700 214816 228242 232900 233240 234955 235640 235984 238000 239750 240800 250733 255850 260848 263375 268520 274000 274400 286552 288659 291125 291550 292400 294550 294980 301000 326060 329896 333200 335650 337120 343000 358190 365500 368725 372640 375928 383600 400588 407575 409360 412370 416500 421400 456484 465800 466480 469910 471280 471968 476000 479500 500735 501466 511700 521696 526750 537040 548000 570605 573104 577318 582250 583100 584800 589100 589960 602000 639625 652120 659792 666400 671300 686000 701029 716380 728875 731000 736375 737450 751856 767200 798847 801176 815150 818720 824740 833000 839125 842800 895475 912968 931600 932960 939820 942560 959000 1001470 1002932 1023400 1030925 1053500 1074080 1141210 1146208 1154636 1164500 1166200 1174775 1178200 1179920 1204000 1253665 1279250 1304240 1319584 1342600 1372000 1402058 1432760 1443295 1457750 1462000 1472750 1474900 1503712 1597694 1602352 1630300 1649480 1666000 1678250 1685600 1790950 1825936 1843625 1863200 1879640 1918000 2002940 2005864 2020613 2037875 2046800 2061850 2107000 2282420 2309272 2329000 2332400 2349550 2356400 2359840 2503675 2507330 2558500 2608480 2685200 2804116 2853025 2865520 2886590 2915500 2924000 2945500 2949800 3195388 3204704 3260600 3298960 3332000 3356500 3505145 3581900 3651872 3687250 3759280 3836000 3994235 4005880 4011728 4041226 4075750 4093600 4123700 4214000 4477375 4564840 4618544 4658000 4664800 4699100 4712800 4907203 5007350 5014660 5117000 5154625 5370400 5608232 5706050 5731040 5773180 5831000 5873875 5891000 5899600 6268325 6390776 6521200 6597920 6713000 7010290 7163800 7216475 7374500 7518560 7988470 8011760 8023456 8082452 8151500 8247400 8428000 8954750 9129680 9237088 9316000 9398200 9814406 10014700 10029320 10103065 10234000 10309250 11216464 11412100 11546360 11662000 11747750 11782000 11799200 12518375 12536650 12781552 13042400 13426000 14020580 14265125 14327600 14432950 14749000 15976940 16023520 16164904 16303000 16494800 17525725 17909500 18259360 18796400 19628812 19971175 20029400 20058640 20206130 20468000 20618500 22432928 22824200 23092720 23324000 23495500 23564000 24536015 25036750 25073300 25563104 26852000 28041160 28530250 28655200 28865900 29498000 31341625 31953880 32329808 32606000 32989600 34350421 35051450 35819000 36082375 37592800 39257624 39942350 40058800 40117280 40412260 41237000 45648400 46185440 46991000 49072030 50073500 50146600 50515325 56082320 57060500 57731800 58996000 62683250 63907760 64659616 65212000 68700842 70102900 71638000 72164750 78515248 79884700 80117600 80824520 82474000 87628625 91296800 93982000 98144060 99855875 100147000 100293200 101030650 112164640 114121000 115463600 122680075 125366500 127815520 137401684 140205800 143276000 144329500 157030496 159769400 161649040 164948000 171752105 175257250 187964000 196288120 199711750 200294000 200586400 202061300 228242000 230927200 245360150 250733000 252576625 274803368 280411600 288659000 319538800 323298080 343504210 350514500 392576240 399423500 400588000 404122600 456484000 490720300 501466000 505153250 549606736 560823200 577318000 613400375 639077600 687008420 701029000 785152480 798847000 808245200 858760525 981440600 1002932000 1010306500 1099213472 1154636000 1226800750 1374016840 1402058000 1597694000 1616490400 1717521050 1962881200 2020613000 2453601500 2748033680 2804116000 3195388000 3435042100 3925762400 4041226000 4293802625 4907203000 5496067360 6870084200 8082452000 8587605250 9814406000 13740168400 17175210500 19628812000 27480336800 34350421000 68700842000 137401684000
- Sum of all divisors σ(n): 429664435200
- Sum of proper divisors (its aliquot sum) s(n): 292262751200
- 137401684000 is an abundant number, because the sum of its proper divisors (292262751200) is greater than itself. Its abundance is 154861067200
Bases of 137401684000
- Binary: 11111111111011100011101010000001000002
- Hexadecimal: 0x1FFDC75020
- Base-36: 1R4DEXWG
Squares and roots of 137401684000
- 137401684000 squared (1374016840002) is 18879222766035856000000
- 137401684000 cubed (1374016840003) is 2594037000664464618781504000000000
-
The
square root of 137401684000 is 370677.3313813511 -
The
cube root of 137401684000 is 5160.1701063645
Scales and comparisons
How big is 137401684000?- 137,401,684,000 seconds is equal to 4,368 years, 49 weeks, 2 days, 6 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,401,684,000 would take you about eight thousand, seven hundred thirty-seven 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 137401684000 cubic inches would be around 430 feet tall.
Recreational maths with 137401684000
- 137401684000 backwards is 000486104731
- 137401684000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137401684000's digits is 34
- More coming soon!
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The information we have on file for 137401684000 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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