138046000680
138,046,000,680 is an even composite number composed of seven prime numbers multiplied together.
138046000680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138046000680:
23 × 33 × 5 × 72 × 29 × 293 × 307
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 29 × 293 × 307)See below for interesting mathematical facts about the number 138046000680 from the Numbermatics database.
Names of 138046000680
- Cardinal: 138046000680 can be written as One hundred thirty-eight billion, forty-six million, six hundred eighty.
Scientific notation
- Scientific notation: 1.3804600068 × 1011
Factors of 138046000680
Divisors of 138046000680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 29 30 35 36 40 42 45 49 54 56 58 60 63 70 72 84 87 90 98 105 108 116 120 126 135 140 145 147 168 174 180 189 196 203 210 216 232 245 252 261 270 280 290 293 294 307 315 348 360 378 392 406 420 435 441 490 504 522 540 580 586 588 609 614 630 696 735 756 783 812 840 870 879 882 921 945 980 1015 1044 1080 1160 1172 1176 1218 1228 1260 1305 1323 1421 1465 1470 1512 1535 1566 1624 1740 1758 1764 1827 1842 1890 1960 2030 2051 2088 2149 2205 2344 2436 2456 2520 2610 2637 2646 2763 2842 2930 2940 3045 3070 3132 3480 3516 3528 3654 3684 3780 3915 4060 4102 4263 4298 4395 4410 4605 4872 5220 5274 5292 5481 5526 5684 5860 5880 6090 6140 6153 6264 6447 6615 7032 7105 7308 7368 7560 7830 7911 8120 8204 8289 8497 8526 8596 8790 8820 8903 9135 9210 10255 10440 10548 10584 10745 10962 11052 11368 11720 12180 12280 12306 12789 12894 13185 13230 13815 14210 14357 14616 15043 15660 15822 16408 16578 16994 17052 17192 17580 17640 17806 18270 18420 18459 19341 20510 21096 21315 21490 21924 22104 24360 24612 25491 25578 25788 26370 26460 26709 27405 27630 28420 28714 30086 30765 31320 31644 32235 33156 33988 34104 35160 35612 36540 36840 36918 38367 38682 39555 41020 41445 42485 42630 42980 43071 43848 44515 45129 49224 50982 51156 51576 52740 52920 53418 54810 55260 55377 56840 57428 58023 59479 60172 61530 62321 63288 63945 64470 66312 67976 71224 71785 73080 73836 75215 76473 76734 77364 79110 80127 82040 82890 84970 85260 85960 86142 89030 89951 90258 92295 96705 101964 102312 105480 106836 109620 110520 110754 114856 116046 118958 120344 123060 124642 127455 127890 128940 129213 133545 135387 143570 147672 150430 152946 153468 154728 158220 160254 165780 169940 170520 172284 178060 178437 179902 180516 184590 186963 191835 193410 203928 213672 215355 219240 221508 225645 229419 232092 237916 240381 246120 249284 254910 255780 257880 258426 267090 269853 270774 276885 287140 290115 297395 300860 305892 306936 311605 316440 320508 331560 339880 344568 356120 356874 359804 361032 369180 373926 382365 383670 386820 387639 400635 406161 416353 430710 436247 443016 449755 451290 458838 464184 475832 480762 498568 509820 511560 516852 534180 535311 539706 541548 553770 560889 574280 580230 594790 601720 611784 623210 629657 641016 646065 676935 713748 719608 738360 747852 764730 767340 773640 775278 801270 809559 812322 832706 861420 872494 892185 899510 902580 917676 934815 961524 1019640 1033704 1068360 1070622 1079412 1083096 1107540 1121778 1147095 1160460 1189580 1201905 1246420 1249059 1259314 1292130 1308741 1349265 1353870 1427496 1495704 1529460 1534680 1550556 1602540 1605933 1619118 1624644 1665412 1682667 1722840 1744988 1784370 1799020 1805160 1835352 1869630 1888971 1923048 1938195 2030805 2081765 2141244 2158824 2181235 2215080 2243556 2294190 2320920 2379160 2403810 2428677 2492840 2498118 2518628 2584260 2608579 2617482 2676555 2698530 2707740 2804445 3058920 3101112 3148285 3205080 3211866 3238236 3249288 3330824 3365334 3489976 3568740 3598040 3739260 3747177 3777942 3876390 3926223 4047795 4061610 4163530 4282488 4362470 4407599 4487112 4588380 4807620 4857354 4996236 5037256 5168520 5217158 5234964 5353110 5397060 5415480 5608890 5666913 6245295 6296570 6423732 6476472 6543705 6730668 7137480 7478520 7494354 7555884 7752780 7825737 7852446 8029665 8095590 8123220 8327060 8413335 8724940 8815198 9176760 9444855 9615240 9714708 9992472 10434316 10469928 10706220 10794120 11217780 11241531 11333826 11778669 12143385 12490590 12593140 12847464 13042895 13087410 13222797 13461336 14988708 15111768 15505560 15651474 15704892 16059330 16191180 16246440 16654120 16826670 17000739 17449880 17630396 18260053 18735885 18889710 19429416 19631115 20868632 21412440 22037995 22435560 22483062 22667652 23477211 23557338 24286770 24981180 25186280 26085790 26174820 26445594 28334565 29977416 31302948 31409784 32118660 32382360 33653340 34001478 35260792 36520106 37471770 37779420 39128685 39262230 39668391 44075990 44966124 45335304 46954422 47114676 48573540 49962360 52171580 52349640 52891188 54780159 56207655 56669130 58893345 62605896 64237320 66113985 67306680 68002956 70431633 73040212 74943540 75558840 78257370 78524460 79336782 85003695 88151980 89932248 91300265 93908844 94229352 97147080 104343160 105782376 109560318 112415310 113338260 117386055 117786690 119005173 127820371 132227970 136005912 140863266 146080424 149887080 156514740 157048920 158673564 164340477 170007390 176303960 182600530 187817688 198341955 219120636 224830620 226676520 234772110 235573380 238010346 255640742 264455940 273900795 281726532 313029480 317347128 328680954 340014780 352158165 365201060 383461113 396683910 438241272 449661240 469544220 471146760 476020692 493021431 511281484 528911880 547801590 563453064 595025865 639101855 657361908 680029560 704316330 730402120 766922226 793367820 821702385 939088440 952041384 986042862 1022562968 1095603180 1150383339 1190051730 1278203710 1314723816 1408632660 1533844452 1586735640 1643404770 1917305565 1972085724 2191206360 2300766678 2380103460 2465107155 2556407420 2817265320 3067688904 3286809540 3451150017 3834611130 3944171448 4601533356 4760206920 4930214310 5112814840 5751916695 6573619080 6902300034 7669222260 9203066712 9860428620 11503833390 13804600068 15338444520 17255750085 19720857240 23007666780 27609200136 34511500170 46015333560 69023000340 138046000680
- Sum of all divisors σ(n): 557438112000
- Sum of proper divisors (its aliquot sum) s(n): 419392111320
- 138046000680 is an abundant number, because the sum of its proper divisors (419392111320) is greater than itself. Its abundance is 281346110640
Bases of 138046000680
- Binary: 100000001001000010111011001110001010002
- Hexadecimal: 0x20242ECE28
- Base-36: 1RF10VU0
Squares and roots of 138046000680
- 138046000680 squared (1380460006802) is 19056698303742560462400
- 138046000680 cubed (1380460006803) is 2630700986997000348137411514432000
-
The
square root of 138046000680 is 371545.4220953343 -
The
cube root of 138046000680 is 5168.2233803135
Scales and comparisons
How big is 138046000680?- 138,046,000,680 seconds is equal to 4,389 years, 22 weeks, 4 days, 15 hours, 18 minutes.
-
To count from 1 to 138,046,000,680 would take you about eight thousand, seven hundred seventy-eight 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 138046000680 cubic inches would be around 430.7 feet tall.
Recreational maths with 138046000680
- 138046000680 backwards is 086000640831
- 138046000680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138046000680's digits is 36
- More coming soon!
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