138830098680
138,830,098,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138830098680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138830098680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138830098680:
23 × 32 × 5 × 72 × 13 × 31 × 59 × 331
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 31 × 59 × 331)See below for interesting mathematical facts about the number 138830098680 from the Numbermatics database.
Names of 138830098680
- Cardinal: 138830098680 can be written as One hundred thirty-eight billion, eight hundred thirty million, ninety-eight thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3883009868 × 1011
Factors of 138830098680
Divisors of 138830098680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 28 30 31 35 36 39 40 42 45 49 52 56 59 60 62 63 65 70 72 78 84 90 91 93 98 104 105 117 118 120 124 126 130 140 147 155 156 168 177 180 182 186 195 196 210 217 234 236 245 248 252 260 273 279 280 294 295 310 312 315 331 354 360 364 372 390 392 403 413 420 434 441 455 465 468 472 490 504 520 531 546 558 585 588 590 620 630 637 651 662 708 728 735 744 767 780 806 819 826 840 868 882 885 910 930 936 980 993 1062 1085 1092 1116 1170 1176 1180 1209 1239 1240 1260 1274 1302 1324 1365 1395 1416 1470 1519 1534 1560 1612 1638 1652 1655 1736 1764 1770 1820 1829 1860 1911 1953 1960 1986 2015 2065 2124 2170 2184 2205 2232 2301 2317 2340 2360 2418 2478 2520 2548 2604 2648 2655 2730 2790 2821 2891 2940 2979 3038 3068 3185 3224 3255 3276 3304 3310 3528 3540 3627 3640 3658 3717 3720 3822 3835 3906 3972 4030 4095 4130 4248 4303 4340 4410 4557 4602 4634 4680 4836 4956 4965 5096 5208 5310 5369 5460 5487 5580 5642 5733 5782 5880 5958 6045 6076 6136 6195 6370 6510 6552 6620 6903 6951 7080 7254 7316 7434 7595 7644 7670 7812 7944 8060 8190 8260 8463 8606 8673 8680 8820 9114 9145 9204 9268 9555 9672 9765 9912 9930 10261 10620 10738 10920 10974 11160 11284 11466 11505 11564 11585 11916 12090 12152 12390 12740 12803 12909 13020 13240 13671 13806 13902 14105 14455 14508 14632 14868 14895 15190 15288 15340 15624 16107 16120 16219 16380 16461 16520 16926 17212 17346 17640 18135 18228 18290 18408 18536 18585 19110 19529 19530 19747 19860 20522 20853 21240 21476 21515 21948 22568 22785 22932 23010 23128 23170 23777 23832 24180 24780 25389 25480 25606 25818 26019 26040 26845 27342 27435 27612 27804 28210 28665 28910 29016 29736 29790 30121 30380 30680 30783 32214 32438 32760 32922 33852 34424 34515 34692 34755 36270 36456 36580 37170 37583 38220 38409 38727 39058 39060 39494 39720 41044 41706 42315 42952 43030 43365 43896 45570 45864 46020 46340 47554 48321 48360 48657 49560 50778 51212 51305 51636 52038 53690 54684 54870 55224 55608 56420 57330 57820 58587 59241 59580 60242 60760 61566 64015 64428 64545 64876 65844 67704 68355 69030 69384 69510 71331 71827 72540 73160 74340 75166 76440 76818 77454 78116 78120 78988 80535 81095 82088 82305 83412 84630 86060 86730 89621 90363 91140 92040 92349 92680 95108 96642 97314 97645 98735 101556 102424 102610 103272 104076 104265 107380 109368 109740 112749 112840 114660 115227 115640 117174 118482 118885 119160 120484 123132 126945 128030 128856 129090 129752 130095 131688 133393 136703 136710 138060 139020 142662 143654 145080 145971 148680 150332 150605 153636 153915 154908 156232 157976 161070 162190 164610 166439 166824 169260 172120 173460 175761 177723 179242 180726 182280 184698 187915 190216 192045 193284 193635 194628 195290 197470 203112 205220 208152 208530 210847 213993 214760 215481 219480 225498 229320 230454 234348 236964 237770 240968 241605 243285 246264 253877 253890 256060 258180 260190 266786 268863 271089 273406 273420 276120 278040 285324 287308 291942 292935 296205 300664 301210 307272 307830 309816 322140 324380 329220 332878 338247 338520 346920 351522 355446 356655 358484 359135 361452 369396 375830 384090 386568 387270 389256 390580 394940 400179 410109 410440 417060 421694 427986 430962 448105 450996 451815 460908 461745 468696 473928 475540 483210 486570 499317 502789 507754 507780 512120 516360 520380 533572 537726 542178 546812 546840 563745 570648 574616 576135 583884 585870 592410 602420 605399 615660 632541 644280 646443 648760 658440 665756 666965 676494 683515 703044 710892 713310 716968 718270 722904 729855 738792 751660 761631 768180 774540 781160 789880 800358 806589 820218 832195 834120 843388 855972 861924 878805 888615 896210 901992 903630 921816 923490 933751 951080 956921 966420 973140 998634 1005578 1015508 1015560 1040760 1054235 1067144 1069965 1075452 1077405 1084356 1093624 1127490 1152270 1165073 1167768 1171740 1184820 1200537 1204840 1210798 1230327 1231320 1265082 1269385 1292886 1331512 1333930 1344315 1352988 1355445 1367030 1406088 1421784 1426620 1436540 1459710 1497951 1503320 1508367 1523262 1536360 1549080 1600716 1613178 1640436 1664390 1686776 1691235 1711944 1723848 1757610 1777139 1777230 1792420 1807260 1816197 1846980 1867502 1897623 1913842 1932840 1946280 1997268 2000895 2011156 2031016 2050545 2108470 2139930 2150904 2154810 2168712 2254980 2284893 2304540 2330146 2343480 2369640 2401074 2421596 2460654 2496585 2513945 2530164 2538770 2585772 2667860 2688630 2705976 2710890 2734060 2801253 2853240 2870763 2873080 2919420 2995902 3016734 3026995 3046524 3162705 3201432 3226356 3232215 3280872 3328780 3382470 3495219 3515220 3554278 3554460 3584840 3614520 3632394 3693960 3735004 3795246 3808155 3827684 3994536 4001790 4022312 4032945 4101090 4216940 4237793 4279860 4309620 4509960 4525101 4569786 4609080 4660292 4668755 4784605 4802148 4843192 4921308 4993170 5027890 5060328 5077540 5171544 5331417 5335720 5377260 5421780 5448591 5468120 5602506 5741526 5825365 5838840 5991804 6002685 6033468 6053990 6093048 6151635 6325410 6452712 6464430 6536257 6657560 6764940 6990438 7030440 7108556 7108920 7264788 7470008 7489755 7541835 7590492 7616310 7655368 7870187 8003580 8065890 8202180 8403759 8433880 8475586 8559720 8612289 8619240 8885695 9050202 9080985 9139572 9320584 9337510 9488115 9569210 9604296 9842616 9986340 10055780 10155080 10485657 10662834 10754520 10843560 10897182 11205012 11424465 11483052 11650730 11983608 12005370 12066936 12107980 12303270 12439973 12650820 12713379 12928860 13072514 13529880 13980876 14006265 14217112 14353815 14529576 14979510 15083670 15180984 15232620 15740374 15994251 16007160 16131780 16404360 16807518 16951172 17224578 17476095 17771390 18100404 18161970 18279144 18675020 18976230 19138420 19608771 19972680 20111560 20971314 21188965 21325668 21794364 22410024 22625505 22848930 22966104 23301460 23610561 24010740 24215960 24606540 24879946 25301640 25426758 25857720 26145028 26657085 27242955 27961752 28012530 28707630 29664551 29959020 30167340 30465240 31480748 31988502 32263560 32681285 33615036 33902344 34449156 34952190 35542780 36200808 36323940 37319919 37350040 37952460 38140137 38276840 39217542 39350935 41942628 42018795 42377930 42651336 43061445 43588728 45251010 45697860 46602920 47221122 48021480 49213080 49759892 50853516 52290056 52428285 53314170 54485910 55091309 56025060 57415260 58826313 59329102 59918040 60334680 62199865 62961496 63566895 63977004 65362570 67230072 68898312 69904380 70831683 71085560 72647880 74639838 75904920 76280274 78435084 78701870 79971255 83885256 84037590 84755860 86122890 88993653 90502020 91395720 94442244 98043855 99519784 101707032 104856570 106628340 108971820 110182618 111959757 112050120 114830520 117652626 118052805 118658204 124399730 127133790 127954008 130725140 139808760 141663366 148322755 149279676 152560548 156870168 157403740 159942510 165273927 168075180 169511720 172245780 177987306 181004040 186599595 188884488 190700685 196087710 209713140 213256680 217943640 220365236 223919514 235305252 236105610 237316408 248799460 254267580 261450280 266980959 275456545 283326732 294131565 296645510 298559352 305121096 314807480 319885020 330547854 336150360 344491560 354158415 355974612 373199190 381401370 385639163 392175420 419426280 440730472 444968265 447839028 470610504 472211220 495821781 497598920 508535160 533961918 550913090 559798785 566653464 588263130 593291020 639770040 661095708 708316830 711949224 746398380 762802740 771278326 784350840 826369635 889936530 895678056 944422440 991643562 1067923836 1101826180 1119597570 1156917489 1176526260 1186582040 1322191416 1334904795 1416633660 1492796760 1525605480 1542556652 1652739270 1779873060 1928195815 1983287124 2135847672 2203652360 2239195140 2313834978 2353052520 2479108905 2669809590 2833267320 3085113304 3305478540 3470752467 3559746120 3856391630 3966574248 4478390280 4627669956 4958217810 5339619180 5784587445 6610957080 6941504934 7712783260 9255339912 9916435620 10679238360 11569174890 13883009868 15425566520 17353762335 19832871240 23138349780 27766019736 34707524670 46276699560 69415049340 138830098680
- Sum of all divisors σ(n): 595152230400
- Sum of proper divisors (its aliquot sum) s(n): 456322131720
- 138830098680 is an abundant number, because the sum of its proper divisors (456322131720) is greater than itself. Its abundance is 317492033040
Bases of 138830098680
- Binary: 100000010100101110101100110000111110002
- Hexadecimal: 0x2052EB30F8
- Base-36: 1RRZUTQ0
Squares and roots of 138830098680
- 138830098680 squared (1388300986802) is 19273796299498537742400
- 138830098680 cubed (1388300986803) is 2675783042197600829293096420032000
-
The
square root of 138830098680 is 372599.1125593297 -
The
cube root of 138830098680 is 5177.9900407407
Scales and comparisons
How big is 138830098680?- 138,830,098,680 seconds is equal to 4,414 years, 19 weeks, 20 hours, 18 minutes.
-
To count from 1 to 138,830,098,680 would take you about eight thousand, eight hundred twenty-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 138830098680 cubic inches would be around 431.5 feet tall.
Recreational maths with 138830098680
- 138830098680 backwards is 086890038831
- The number of decimal digits it has is: 12
- The sum of 138830098680's digits is 54
- More coming soon!
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The information we have on file for 138830098680 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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