138788536320

Names of 138788536320

• Cardinal: 138788536320 can be written as One hundred thirty-eight billion, seven hundred eighty-eight million, five hundred thirty-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3878853632 × 10¹¹

Factors of 138788536320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 100

Divisors of 138788536320

• Number of divisors d(n): 952
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 83 84 90 96 105 108 112 120 126 128 135 140 144 160 162 166 168 180 189 192 210 216 224 240 243 249 252 256 270 280 288 315 320 324 332 336 360 378 384 405 415 420 432 448 480 486 498 504 512 540 560 567 576 581 630 640 648 664 672 720 729 747 756 768 810 830 840 864 896 945 960 972 996 1008 1024 1080 1120 1134 1152 1162 1215 1245 1260 1280 1296 1328 1344 1440 1458 1494 1512 1536 1620 1660 1680 1701 1728 1743 1792 1890 1920 1944 1992 2016 2048 2160 2240 2241 2268 2304 2324 2430 2490 2520 2560 2592 2656 2688 2835 2880 2905 2916 2988 3024 3072 3240 3320 3360 3402 3456 3486 3584 3645 3735 3780 3840 3888 3984 4032 4096 4320 4480 4482 4536 4608 4648 4860 4980 5040 5103 5120 5184 5229 5312 5376 5670 5760 5810 5832 5976 6048 6144 6480 6640 6720 6723 6804 6912 6972 7168 7290 7470 7560 7680 7776 7968 8064 8192 8505 8640 8715 8960 8964 9072 9216 9296 9720 9960 10080 10206 10240 10368 10458 10624 10752 11205 11340 11520 11620 11664 11952 12096 12288 12960 13280 13440 13446 13608 13824 13944 14336 14580 14940 15120 15360 15552 15687 15936 16128 16384 17010 17280 17430 17920 17928 18144 18432 18592 19440 19920 20160 20169 20412 20480 20736 20916 21248 21504 22410 22680 23040 23240 23328 23904 24192 24576 25515 25920 26145 26560 26880 26892 27216 27648 27888 28672 29160 29880 30240 30720 31104 31374 31872 32256 32768 33615 34020 34560 34860 35840 35856 36288 36864 37184 38880 39840 40320 40338 40824 40960 41472 41832 42496 43008 44820 45360 46080 46480 46656 47061 47808 48384 49152 51030 51840 52290 53120 53760 53784 54432 55296 55776 57344 58320 59760 60480 60507 61440 62208 62748 63744 64512 65536 67230 68040 69120 69720 71680 71712 72576 73728 74368 77760 78435 79680 80640 80676 81648 81920 82944 83664 84992 86016 89640 90720 92160 92960 93312 94122 95616 96768 98304 100845 102060 103680 104580 106240 107520 107568 108864 110592 111552 114688 116640 119520 120960 121014 122880 124416 125496 127488 129024 134460 136080 138240 139440 141183 143360 143424 145152 147456 148736 155520 156870 159360 161280 161352 163296 163840 165888 167328 169984 172032 179280 181440 184320 185920 186624 188244 191232 193536 196608 201690 204120 207360 209160 212480 215040 215136 217728 221184 223104 229376 233280 235305 239040 241920 242028 245760 248832 250992 254976 258048 268920 272160 276480 278880 282366 286720 286848 290304 294912 297472 302535 311040 313740 318720 322560 322704 326592 327680 331776 334656 339968 344064 358560 362880 368640 371840 373248 376488 382464 387072 403380 408240 414720 418320 423549 424960 430080 430272 435456 442368 446208 458752 466560 470610 478080 483840 484056 491520 497664 501984 509952 516096 537840 544320 552960 557760 564732 573440 573696 580608 589824 594944 605070 622080 627480 637440 645120 645408 653184 663552 669312 679936 688128 705915 717120 725760 737280 743680 746496 752976 764928 774144 806760 816480 829440 836640 847098 849920 860160 860544 870912 884736 892416 933120 941220 956160 967680 968112 983040 995328 1003968 1019904 1032192 1075680 1088640 1105920 1115520 1129464 1146880 1147392 1161216 1189888 1210140 1244160 1254960 1274880 1290240 1290816 1306368 1327104 1338624 1359872 1376256 1411830 1434240 1451520 1474560 1487360 1492992 1505952 1529856 1548288 1613520 1632960 1658880 1673280 1694196 1699840 1720320 1721088 1741824 1769472 1784832 1866240 1882440 1912320 1935360 1936224 1990656 2007936 2039808 2064384 2117745 2151360 2177280 2211840 2231040 2258928 2293760 2294784 2322432 2379776 2420280 2488320 2509920 2549760 2580480 2581632 2612736 2654208 2677248 2719744 2823660 2868480 2903040 2949120 2974720 2985984 3011904 3059712 3096576 3227040 3265920 3317760 3346560 3388392 3399680 3440640 3442176 3483648 3569664 3732480 3764880 3824640 3870720 3872448 3981312 4015872 4079616 4128768 4235490 4302720 4354560 4423680 4462080 4517856 4589568 4644864 4759552 4840560 4976640 5019840 5099520 5160960 5163264 5225472 5308416 5354496 5439488 5647320 5736960 5806080 5949440 5971968 6023808 6119424 6193152 6454080 6531840 6635520 6693120 6776784 6799360 6881280 6884352 6967296 7139328 7464960 7529760 7649280 7741440 7744896 7962624 8031744 8159232 8470980 8605440 8709120 8847360 8924160 9035712 9179136 9289728 9519104 9681120 9953280 10039680 10199040 10321920 10326528 10450944 10708992 11294640 11473920 11612160 11898880 11943936 12047616 12238848 12386304 12908160 13063680 13271040 13386240 13553568 13598720 13768704 13934592 14278656 14929920 15059520 15298560 15482880 15489792 15925248 16063488 16318464 16941960 17210880 17418240 17848320 18071424 18358272 18579456 19038208 19362240 19906560 20079360 20398080 20643840 20653056 20901888 21417984 22589280 22947840 23224320 23797760 23887872 24095232 24477696 25816320 26127360 26542080 26772480 27107136 27197440 27537408 27869184 28557312 29859840 30119040 30597120 30965760 30979584 32126976 33883920 34421760 34836480 35696640 36142848 36716544 37158912 38076416 38724480 39813120 40158720 40796160 41306112 41803776 42835968 45178560 45895680 46448640 47595520 47775744 48190464 48955392 51632640 52254720 53544960 54214272 55074816 55738368 57114624 59719680 60238080 61194240 61931520 61959168 64253952 67767840 68843520 69672960 71393280 72285696 73433088 77448960 79626240 80317440 81592320 82612224 83607552 85671936 90357120 91791360 92897280 95191040 96380928 103265280 104509440 107089920 108428544 110149632 111476736 114229248 119439360 120476160 122388480 123918336 128507904 135535680 137687040 139345920 142786560 144571392 146866176 154897920 160634880 165224448 167215104 171343872 180714240 183582720 185794560 190382080 192761856 206530560 209018880 214179840 216857088 220299264 238878720 240952320 244776960 247836672 257015808 271071360 275374080 278691840 285573120 289142784 309795840 321269760 330448896 334430208 342687744 361428480 367165440 385523712 413061120 418037760 428359680 433714176 440598528 481904640 495673344 514031616 542142720 550748160 557383680 571146240 578285568 619591680 642539520 660897792 722856960 734330880 771047424 826122240 836075520 856719360 867428352 963809280 991346688 1028063232 1084285440 1101496320 1156571136 1239183360 1285079040 1321795584 1445713920 1542094848 1652244480 1672151040 1713438720 1734856704 1927618560 1982693376 2168570880 2202992640 2313142272 2478366720 2570158080 2891427840 3084189696 3304488960 3469713408 3855237120 3965386752 4337141760 4626284544 4956733440 5140316160 5782855680 6608977920 6939426816 7710474240 8674283520 9252569088 9913466880 11565711360 13878853632 15420948480 17348567040 19826933760 23131422720 27757707264 34697134080 46262845440 69394268160 138788536320
• Sum of all divisors σ(n): 577626751296
• Sum of proper divisors (its aliquot sum) s(n): 438838214976
• 138788536320 is an abundant number, because the sum of its proper divisors (438838214976) is greater than itself. Its abundance is 300049678656

Bases of 138788536320

• Binary: 10000001010000011100010000000000000000₂
• Hexadecimal: 0x2050710000
• Base-36: 1RRB4000

Squares and roots of 138788536320

• 138788536320 squared (138788536320²) is 19262257813847959142400
• 138788536320 cubed (138788536320³) is 2673380568202441276392858451968000
• The square root of 138788536320 is 372543.3348216017
• The cube root of 138788536320 is 5177.4732676779

Scales and comparisons

• 138,788,536,320 seconds is equal to 4,413 years, 2 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 138,788,536,320 would take you about eight thousand, eight hundred twenty-six 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 138788536320 cubic inches would be around 431.5 feet tall.

Recreational maths with 138788536320

• 138788536320 backwards is 023635887831
• 138788536320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138788536320's digits is 54
• More coming soon!