138331749600

Names of 138331749600

• Cardinal: 138331749600 can be written as One hundred thirty-eight billion, three hundred thirty-one million, seven hundred forty-nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.383317496 × 10¹¹

Factors of 138331749600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 238

Divisors of 138331749600

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 61 66 72 75 76 80 88 90 95 96 99 100 110 114 120 121 122 132 137 144 150 152 160 165 171 176 180 183 190 198 200 209 220 225 228 240 242 244 264 274 275 285 288 300 304 305 330 342 352 360 363 366 380 396 400 411 418 440 450 456 475 480 484 488 495 528 548 549 550 570 600 605 608 610 627 660 671 684 685 720 726 732 760 792 800 822 825 836 855 880 900 912 915 950 968 976 990 1045 1056 1089 1096 1098 1100 1140 1159 1200 1210 1220 1233 1254 1320 1342 1368 1370 1425 1440 1452 1464 1507 1520 1525 1584 1644 1650 1672 1710 1760 1800 1815 1824 1830 1881 1900 1936 1952 1980 2013 2055 2090 2178 2192 2196 2200 2280 2299 2318 2400 2420 2440 2466 2475 2508 2603 2640 2684 2736 2740 2745 2850 2904 2928 3014 3025 3040 3050 3135 3168 3288 3300 3344 3355 3420 3425 3477 3600 3630 3660 3762 3800 3872 3960 4026 4110 4180 4275 4356 4384 4392 4400 4521 4560 4575 4598 4636 4840 4880 4932 4950 5016 5206 5225 5280 5368 5445 5472 5480 5490 5700 5795 5808 5856 6028 6039 6050 6100 6165 6270 6576 6600 6688 6710 6840 6850 6897 6954 7200 7260 7320 7381 7524 7535 7600 7809 7920 8052 8220 8357 8360 8550 8712 8784 8800 9042 9075 9120 9150 9196 9272 9405 9680 9760 9864 9900 10032 10065 10275 10412 10431 10450 10736 10890 10960 10980 11400 11495 11590 11616 12056 12078 12100 12200 12330 12540 12749 13015 13152 13200 13420 13563 13680 13700 13725 13794 13908 14520 14640 14762 15048 15070 15200 15618 15675 15840 16104 16440 16577 16714 16720 16775 17100 17385 17424 17568 18084 18150 18300 18392 18544 18810 19360 19728 19800 20064 20130 20550 20691 20824 20862 20900 21472 21780 21920 21960 22143 22605 22800 22990 23180 23427 24112 24156 24200 24400 24660 25071 25080 25498 26030 26400 26840 27126 27225 27360 27400 27450 27588 27816 28633 28975 29040 29280 29524 30096 30140 30195 30825 31236 31350 32208 32880 33154 33428 33440 33550 34200 34485 34770 34848 36168 36300 36600 36784 36905 37088 37620 37675 38247 39045 39456 39600 40260 41100 41382 41648 41724 41785 41800 43560 43920 44286 45210 45600 45980 46360 46854 47025 48224 48312 48400 48800 49320 49731 50142 50160 50325 50996 52060 52155 53680 54252 54450 54800 54900 55176 55632 57266 57475 57950 58080 59048 60192 60280 60390 61650 62472 62700 63745 64416 65075 65760 66308 66429 66856 67100 67815 68400 68970 69540 72336 72600 73200 73568 73810 75213 75240 75350 76494 78090 79200 80520 82200 82764 82885 83296 83448 83570 83600 85899 86925 87120 87840 88572 90420 91927 91960 92720 93708 94050 96624 96800 98640 99462 100284 100320 100650 101992 103455 104120 104310 107360 108504 108900 109600 109800 110352 110715 111264 113025 114532 114741 114950 115900 117135 118096 120560 120780 123300 124944 125355 125400 127490 130150 132616 132858 133712 134200 135630 136800 137940 139080 140239 143165 144672 145200 146400 147620 149193 150426 150480 150700 150975 152988 156180 158783 161040 164400 165528 165770 166896 167140 167200 171798 172425 173850 174240 177144 180840 183854 183920 184525 185440 187416 188100 191235 193248 195225 197280 198924 200568 201300 203984 206910 208240 208620 208925 217008 217800 219600 220704 221430 226050 229064 229482 229900 231800 234270 236192 241120 241560 246600 248655 249888 250710 250800 254980 257697 260300 260775 265232 265716 267424 268400 271260 275781 275880 278160 280478 286330 290400 295240 298386 300852 300960 301400 301950 305976 312360 314963 317566 318725 322080 328800 331056 331540 332145 333792 334280 339075 343596 344850 347700 354288 361680 367708 367840 369050 374832 376065 376200 382470 390450 397848 401136 402600 407968 413820 414425 416480 417240 417850 420717 429495 434016 435600 439200 442860 452100 458128 458964 459635 459800 463600 468540 476349 483120 493200 497310 501420 501600 509960 515394 517275 520600 521550 530464 531432 536800 542520 551562 551760 553575 556320 560956 572660 573705 585675 590480 596772 601704 602800 603900 611952 624720 626775 629926 635132 637450 662112 663080 664290 668560 678150 687192 689700 695400 701195 708576 715825 723360 735416 738100 745965 749664 752130 752400 764940 780900 793915 795696 802272 805200 827343 827640 828850 834480 835700 841434 858990 871200 885720 904200 916256 917928 919270 919600 927200 937080 944889 952698 956175 966240 986400 994620 1002840 1011197 1019920 1030788 1034550 1041200 1043100 1062864 1085040 1103124 1103520 1107150 1121912 1145320 1147410 1171350 1180960 1193544 1203408 1205600 1207800 1223904 1243275 1249440 1253550 1259852 1262151 1270264 1274900 1288485 1326160 1328580 1337120 1356300 1374384 1378905 1379400 1390800 1402390 1429047 1431650 1470832 1476200 1491930 1504260 1504800 1529880 1561800 1574815 1587830 1591392 1610400 1654686 1655280 1657700 1660725 1668960 1671400 1682868 1717980 1746613 1771440 1808400 1835856 1838540 1839200 1874160 1880325 1889778 1905396 1912350 1989240 2005680 2022394 2039840 2061576 2069100 2082400 2086200 2103585 2125728 2147475 2170080 2206248 2214300 2243824 2290640 2294820 2298175 2342700 2381745 2387088 2406816 2415600 2486550 2507100 2519704 2524302 2540528 2549800 2576970 2652320 2657160 2712600 2748768 2757810 2758800 2781600 2804780 2834667 2858094 2863300 2868525 2941664 2952400 2983860 3008520 3033591 3059760 3123600 3149630 3175660 3309372 3310560 3315400 3321450 3342800 3365736 3435960 3493226 3505975 3542880 3616800 3671712 3677080 3729825 3748320 3760650 3779556 3810792 3824700 3969575 3978480 4011360 4044788 4123152 4136715 4138200 4172400 4207170 4294950 4412496 4428600 4487648 4581280 4589640 4596350 4685400 4724445 4763490 4774176 4831200 4973100 5014200 5039408 5048604 5055985 5081056 5099600 5153940 5239839 5314320 5425200 5515620 5517600 5609560 5669334 5716188 5726600 5737050 5904800 5967720 6017040 6067182 6119520 6247200 6299260 6310755 6351320 6442425 6618744 6630800 6642900 6685600 6731472 6871920 6894525 6986452 7011950 7145235 7354160 7459650 7521300 7559112 7621584 7649400 7874075 7939150 7956960 8089576 8246304 8273430 8276400 8344800 8414340 8589900 8733065 8824992 8857200 9100773 9179280 9192700 9370800 9448890 9526980 9946200 10028400 10078816 10097208 10111970 10199200 10307880 10479678 10517925 10628640 10850400 11031240 11219120 11338668 11432376 11453200 11474100 11908725 11935440 12034080 12134364 12598520 12621510 12702640 12884850 13237488 13261600 13285800 13462944 13743840 13789050 13972904 14023900 14173335 14290470 14708320 14919300 15042600 15118224 15167955 15243168 15298800 15719517 15748150 15878300 16179152 16546860 16552800 16828680 17179800 17466130 17714400 18201546 18358560 18385400 18741600 18897780 19053960 19212743 19892400 20056800 20194416 20223940 20615760 20683575 20959356 21035850 22062480 22438240 22677336 22864752 22906400 22948200 23622225 23817450 23870880 24268728 25197040 25243020 25279925 25405280 25769700 26199195 26474976 26571600 27578100 27945808 28047800 28346670 28580940 29838600 30085200 30236448 30335910 30597600 31439034 31496300 31553775 31756600 32358304 33093720 33657360 34359600 34932260 35726175 36403092 36770800 37795560 38107920 38425486 39784800 40388832 40447880 41231520 41367150 41918712 42071700 43665325 44124960 45354672 45503865 45729504 45896400 47244450 47634900 48537456 50394080 50486040 50559850 51539400 52398390 53143200 55156200 55891616 56095600 56693340 57161880 57638229 59677200 60170400 60671820 62878068 62992600 63107550 63513200 66187440 67314720 68719200 69864520 70866675 71452350 72806184 73541600 75591120 75839775 76215840 76850972 78597585 80895760 82734300 83837424 84143400 87330650 90709344 91007730 91792800 94488900 95269800 96063715 97074912 100972080 101119700 103078800 104796780 110312400 112191200 113386680 114323760 115276458 119354400 121343640 125756136 125985200 126215100 127026400 130995975 132374880 139729040 141733350 142904700 145612368 151182240 151679550 153701944 157195170 161791520 165468600 167674848 168286800 172914687 174661300 182015460 188977800 190539600 192127430 201944160 202239400 206157600 209593560 220624800 226773360 227519325 228647520 230552916 242687280 251512272 251970400 252430200 261991950 279458080 283466700 285809400 288191145 291224736 303359100 307403888 314390340 330937200 336573600 345829374 349322600 364030920 377955600 381079200 384254860 392987925 404478800 419187120 453546720 455038650 461105832 480318575 485374560 503024544 504860400 523983900 566933400 571618800 576382290 606718200 614807776 628780680 661874400 691658748 698645200 728061840 755911200 768509720 785975850 808957600 838374240 864573435 910077300 922211664 960637150 1009720800 1047967800 1133866800 1143237600 1152764580 1213436400 1257561360 1383317496 1397290400 1440955725 1456123680 1537019440 1571951700 1729146870 1820154600 1844423328 1921274300 2095935600 2267733600 2305529160 2426872800 2515122720 2766634992 2881911450 3074038880 3143903400 3458293740 3640309200 3842548600 4191871200 4322867175 4611058320 5533269984 5763822900 6287806800 6916587480 7280618400 7685097200 8645734350 9222116640 11527645800 12575613600 13833174960 15370194400 17291468700 23055291600 27666349920 34582937400 46110583200 69165874800 138331749600
• Sum of all divisors σ(n): 577827235440
• Sum of proper divisors (its aliquot sum) s(n): 439495485840
• 138331749600 is an abundant number, because the sum of its proper divisors (439495485840) is greater than itself. Its abundance is 301163736240

Bases of 138331749600

• Binary: 10000000110101001101101111110011100000₂
• Hexadecimal: 0x203536FCE0
• Base-36: 1RJR5H40

Squares and roots of 138331749600

• 138331749600 squared (138331749600²) is 19135672947397100160000
• 138331749600 cubed (138331749600³) is 2647071118586829631099239936000000
• The square root of 138331749600 is 371929.7643373007
• The cube root of 138331749600 is 5171.7869181507

Scales and comparisons

• 138,331,749,600 seconds is equal to 4,398 years, 27 weeks, 22 hours.
• To count from 1 to 138,331,749,600 would take you about eight thousand, seven hundred ninety-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 138331749600 cubic inches would be around 431 feet tall.

Recreational maths with 138331749600

• 138331749600 backwards is 006947133831
• 138331749600 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138331749600's digits is 45
• More coming soon!