138021721600

Names of 138021721600

• Cardinal: 138021721600 can be written as One hundred thirty-eight billion, twenty-one million, seven hundred twenty-one thousand, six hundred.

Scientific notation

• Scientific notation: 1.380217216 × 10¹¹

Factors of 138021721600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 178

Divisors of 138021721600

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 37 40 50 56 62 64 68 70 74 79 80 85 100 112 119 124 128 136 140 148 155 158 160 170 175 185 200 217 224 238 248 256 259 272 280 296 310 316 320 340 350 370 395 400 425 434 448 476 496 512 518 527 544 553 560 592 595 620 629 632 640 680 700 740 775 790 800 850 868 896 925 952 992 1036 1054 1085 1088 1106 1120 1147 1184 1190 1240 1258 1264 1280 1295 1343 1360 1400 1480 1550 1580 1600 1700 1736 1792 1850 1904 1975 1984 2072 2108 2170 2176 2212 2240 2294 2368 2380 2449 2480 2516 2528 2560 2590 2635 2686 2720 2765 2800 2923 2960 2975 3100 3145 3160 3200 3400 3472 3584 3689 3700 3808 3950 3968 4144 4216 4340 4352 4403 4424 4480 4588 4736 4760 4898 4960 5032 5056 5180 5270 5372 5425 5440 5530 5600 5735 5846 5920 5950 6200 6290 6320 6400 6475 6715 6800 6944 7378 7400 7616 7900 7936 8029 8288 8432 8680 8704 8806 8848 8960 9176 9401 9472 9520 9796 9920 10064 10112 10360 10540 10744 10850 10880 11060 11200 11470 11692 11840 11900 12245 12400 12580 12640 12800 12950 13175 13430 13600 13825 13888 14615 14756 14800 15232 15725 15800 15872 16058 16576 16864 17143 17360 17612 17696 17920 18352 18445 18802 18944 19040 19499 19592 19840 20128 20224 20461 20720 21080 21488 21700 21760 22015 22120 22400 22940 23384 23680 23800 24490 24800 25160 25280 25900 26350 26860 27200 27650 27776 28675 29230 29512 29600 30464 31450 31600 32116 33152 33575 33728 34286 34720 35224 35392 36704 36890 37604 38080 38998 39184 39680 40145 40256 40448 40922 41440 41633 42160 42976 43400 43520 44030 44240 44800 45880 46768 47005 47360 47600 48980 49600 49691 50320 50560 51800 52700 53720 54400 55300 55552 57350 58460 59024 59200 60928 61225 62900 63200 64232 66304 67150 67456 68572 69440 70448 70784 73075 73408 73780 75208 76160 77996 78368 79360 80290 80512 81844 82880 83266 84320 85715 85952 86800 88060 88480 89600 90613 91760 92225 93536 94010 94720 95200 97495 97960 99200 99382 100640 101120 102305 103600 105400 107440 108800 110075 110600 111104 114700 116920 118048 118400 122450 125800 126400 128464 132608 134300 134912 136493 137144 138880 140896 141568 146150 146816 147560 150416 152320 155992 156736 160580 161024 163688 165760 166532 168640 171430 171904 173600 176120 176960 181226 183520 184450 187072 188020 190400 194990 195920 198400 198764 200725 201280 202240 204610 207200 208165 210800 214880 217600 220150 221200 229400 233840 235025 236096 236800 244900 248455 251600 252800 256928 268600 269824 272986 274288 277760 281792 283136 291431 292300 293632 295120 300832 304640 311984 313472 321160 322048 327376 331520 333064 337280 342860 343808 347200 347837 352240 353920 362452 367040 368900 374144 376040 380800 389980 391840 396800 397528 401450 402560 409220 414400 416330 421600 428575 429760 440300 442400 453065 458800 467680 470050 472192 473600 487475 489800 496910 503200 505600 511525 513856 537200 545972 548576 555520 563584 582862 584600 587264 590240 601664 623968 626944 634291 642320 654752 663040 666128 674560 682465 685720 687616 694400 695674 704480 707840 724904 734080 737800 748288 752080 761600 779960 783680 795056 802900 805120 818440 828800 832660 843200 857150 859520 880600 884800 906130 917600 935360 940100 944384 974950 979600 993820 1006400 1011200 1023050 1027712 1040825 1074400 1091944 1097152 1127168 1165724 1169200 1180480 1203328 1242275 1247936 1253888 1268582 1284640 1309504 1332256 1349120 1364930 1371440 1388800 1391348 1408960 1415680 1449808 1457155 1468160 1475600 1496576 1504160 1523200 1540421 1559920 1567360 1590112 1605800 1610240 1636880 1657600 1665320 1686400 1714300 1719040 1739185 1761200 1769600 1812260 1835200 1870720 1880200 1888768 1949900 1959200 1987640 2012800 2046100 2055424 2081650 2148800 2183888 2194304 2254336 2265325 2331448 2338400 2360960 2406656 2484550 2495872 2537164 2569280 2619008 2664512 2729860 2742880 2777600 2782696 2817920 2899616 2914310 2936320 2951200 3008320 3080842 3119840 3134720 3171455 3180224 3211600 3273760 3315200 3330640 3372800 3412325 3428600 3438080 3478370 3522400 3539200 3624520 3670400 3741440 3760400 3899800 3918400 3975280 4025600 4092200 4110848 4163300 4297600 4367776 4388608 4530650 4662896 4676800 4721920 4813312 4969100 4991744 5074328 5138560 5238016 5329024 5459720 5485760 5565392 5635840 5799232 5828620 5902400 6016640 6161684 6239680 6269440 6342910 6360448 6423200 6547520 6661280 6745600 6824650 6857200 6956740 7044800 7078400 7249040 7285775 7340800 7482880 7520800 7702105 7799600 7836800 7950560 8051200 8184400 8326600 8595200 8695925 8735552 8777216 9061300 9325792 9353600 9443840 9938200 9983488 10148656 10277120 10476032 10658048 10782947 10919440 10971520 11130784 11271680 11598464 11657240 11804800 12033280 12323368 12479360 12685820 12720896 12846400 13095040 13322560 13649300 13714400 13913480 14089600 14498080 14571550 14681600 15041600 15404210 15599200 15673600 15857275 15901120 16368800 16653200 17190400 17391850 17471104 18122600 18651584 18707200 19876400 20297312 20554240 21316096 21565894 21838880 21943040 22261568 23196928 23314480 23609600 24066560 24646736 24958720 25371640 25441792 25692800 26190080 26645120 27298600 27428800 27826960 28179200 28996160 29143100 30083200 30808420 31198400 31347200 31714550 31802240 32737600 33306400 34783700 34942208 36245200 37303168 37414400 38510525 39752800 40594624 43131788 43677760 43886080 44523136 46393856 46628960 47219200 49293472 49917440 50743280 51385600 52380160 53290240 53914735 54597200 54857600 55653920 56358400 57992320 58286200 60166400 61616840 62396800 63429100 63604480 65475200 66612800 69567400 69884416 72490400 74606336 77021050 79505600 81189248 86263576 87355520 89046272 93257920 98586944 101486560 102771200 106580480 107829470 109194400 109715200 111307840 115984640 116572400 120332800 123233680 124793600 126858200 127208960 130950400 133225600 139134800 144980800 149212672 154042100 159011200 162378496 172527152 174711040 178092544 186515840 197173888 202973120 215658940 218388800 219430400 222615680 231969280 233144800 246467360 249587200 253716400 261900800 266451200 269573675 278269600 289961600 308084200 318022400 324756992 345054304 349422080 373031680 394347776 405946240 431317880 436777600 445231360 466289600 492934720 507432800 532902400 539147350 556539200 579923200 616168400 636044800 690108608 746063360 788695552 811892480 862635760 873555200 890462720 932579200 985869440 1014865600 1078294700 1113078400 1159846400 1232336800 1380217216 1623784960 1725271520 1747110400 1865158400 1971738880 2029731200 2156589400 2226156800 2464673600 2760434432 3450543040 3730316800 3943477760 4059462400 4313178800 4452313600 4929347200 5520868864 6901086080 8118924800 8626357600 9858694400 13802172160 17252715200 19717388800 27604344320 34505430400 69010860800 138021721600
• Sum of all divisors σ(n): 444245852160
• Sum of proper divisors (its aliquot sum) s(n): 306224130560
• 138021721600 is an abundant number, because the sum of its proper divisors (306224130560) is greater than itself. Its abundance is 168202408960

Bases of 138021721600

• Binary: 10000000100010101111000101011000000000₂
• Hexadecimal: 0x2022BC5600
• Base-36: 1REMKHZ4

Squares and roots of 138021721600

• 138021721600 squared (138021721600²) is 19049995633427906560000
• 138021721600 cubed (138021721600³) is 2629313193798202172895133696000000
• The square root of 138021721600 is 371512.7475605647
• The cube root of 138021721600 is 5167.9203724627

Scales and comparisons

• 138,021,721,600 seconds is equal to 4,388 years, 34 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 138,021,721,600 would take you about eight thousand, seven hundred seventy-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 138021721600 cubic inches would be around 430.7 feet tall.

Recreational maths with 138021721600

• 138021721600 backwards is 006127120831
• 138021721600 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138021721600's digits is 31
• More coming soon!