138218252709888

Names of 138218252709888

• Cardinal: 138218252709888 can be written as One hundred thirty-eight trillion, two hundred eighteen billion, two hundred fifty-two million, seven hundred nine thousand, eight hundred eighty-eight.

Scientific notation

• Scientific notation: 1.38218252709888 × 10¹⁴

Factors of 138218252709888

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 141027

Divisors of 138218252709888

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 64 69 72 78 89 92 96 104 117 128 138 144 156 178 184 192 207 208 234 256 267 276 288 299 312 356 368 384 414 416 468 512 534 552 576 598 624 712 736 768 801 828 832 897 936 1024 1068 1104 1152 1157 1196 1248 1424 1472 1536 1602 1656 1664 1794 1872 2047 2048 2136 2208 2304 2314 2392 2496 2691 2848 2944 3072 3204 3312 3328 3471 3588 3744 4094 4096 4272 4416 4608 4628 4784 4992 5382 5696 5888 6141 6144 6408 6624 6656 6942 7176 7488 8188 8544 8832 9216 9256 9568 9984 10413 10764 11392 11776 12282 12288 12816 13248 13312 13884 14352 14976 16376 17088 17664 18423 18432 18512 19136 19968 20826 21528 22784 23552 24564 25632 26496 26611 26624 27768 28704 29952 32752 34176 35328 36846 36864 37024 38272 39936 41652 43056 45568 47104 49128 51264 52992 53222 53248 55536 57408 59904 65504 68352 70656 73692 74048 76544 79833 79872 83304 86112 91136 94208 98256 102528 105984 106444 111072 114816 119808 131008 136704 140897 141312 147384 148096 153088 159666 159744 166608 172224 182272 196512 205056 211968 212888 222144 229632 239499 239616 262016 273408 281794 282624 294768 296192 306176 319332 333216 344448 364544 393024 410112 422691 423936 425776 444288 459264 478998 479232 524032 546816 563588 589536 592384 612352 638664 666432 688896 786048 820224 845382 847872 851552 888576 918528 957996 1048064 1093632 1127176 1179072 1184768 1224704 1268073 1277328 1332864 1377792 1572096 1640448 1690764 1703104 1777152 1831661 1837056 1915992 2096128 2254352 2358144 2369536 2536146 2554656 2665728 2755584 3144192 3240631 3280896 3381528 3406208 3554304 3663322 3674112 3831984 4192256 4508704 4716288 4739072 5072292 5109312 5331456 5494983 5511168 6288384 6481262 6763056 6812416 7108608 7326644 7663968 8384512 9017408 9432576 9721893 10144584 10218624 10662912 10989966 11022336 12539833 12576768 12962524 13526112 13624832 14217216 14653288 15327936 16484949 18034816 18865152 19443786 20289168 20437248 21325824 21979932 25079666 25153536 25925048 27052224 27249664 29165679 29306576 30655872 32969898 36069632 37619499 37730304 38887572 40578336 40874496 42128203 42651648 43959864 50159332 51850096 54104448 54499328 58331358 58613152 61311744 65939796 72139264 75238998 75460608 77775144 81156672 81748992 84256406 87919728 100318664 103700192 108208896 108998656 112858497 116662716 117226304 122623488 126384609 131879592 144278528 150477996 155550288 162313344 163017829 163497984 168512812 175839456 200637328 207400384 216417792 225716994 233325432 234452608 245246976 252769218 263759184 288416159 288557056 300955992 311100576 324626688 326035658 326995968 337025624 351678912 379153827 401274656 414800768 432835584 451433988 466650864 468905216 489053487 490493952 505538436 527518368 576832318 577114112 601911984 622201152 649253376 652071316 674051248 703357824 758307654 802549312 829601536 865248477 865671168 902867976 933301728 937810432 978106974 980987904 1011076872 1055036736 1153664636 1203823968 1244402304 1298506752 1304142632 1348102496 1406715648 1467160461 1516615308 1605098624 1659203072 1730496954 1731342336 1805735952 1866603456 1875620864 1956213948 2022153744 2110073472 2307329272 2407647936 2488804608 2595745431 2597013504 2608285264 2696204992 2813431296 2934320922 3033230616 3210197248 3318406144 3460993908 3611471904 3733206912 3749410067 3751241728 3912427896 4044307488 4220146944 4614658544 4815295872 4977609216 5191490862 5194027008 5216570528 5392409984 5626862592 5868641844 6066461232 6420394496 6636812288 6921987816 7222943808 7466413824 7498820134 7502483456 7824855792 8088614976 8440293888 9229317088 9630591744 9955218432 10382981724 10433141056 10784819968 11248230201 11253725184 11737283688 12132922464 12840788992 13273624576 13843975632 14445887616 14932827648 14997640268 15649711584 16177229952 16880587776 18458634176 19261183488 19910436864 20765963448 20866282112 21569639936 22496460402 22507450368 23474567376 24265844928 25681577984 27687951264 28891775232 29865655296 29995280536 31299423168 32354459904 33744690603 33761175552 36917268352 38522366976 39820873728 41531926896 41732564224 43139279872 44992920804 46949134752 48531689856 51363155968 55375902528 57783550464 59731310592 59990561072 62598846336 64708919808 67489381206 67522351104 73834536704 77044733952 83063853792 83465128448 86278559744 89985841608 93898269504 97063379712 110751805056 115567100928 119462621184 119981122144 125197692672 129417839616 134978762412 147669073408 154089467904 166127707584 166930256896 172557119488 179971683216 187796539008 194126759424 221503610112 231134201856 239962244288 250395385344 258835679232 269957524824 295338146816 332255415168 333860513792 359943366432 375593078016 388253518848 443007220224 462268403712 479924488576 500790770688 517671358464 539915049648 590676293632 664510830336 667721027584 719886732864 751186156032 776507037696 886014440448 959848977152 1001581541376 1079830099296 1181352587264 1329021660672 1439773465728 1502372312064 1553014075392 1772028880896 1919697954304 2003163082752 2159660198592 2658043321344 2879546931456 3004744624128 3544057761792 3839395908608 4319320397184 5316086642688 5759093862912 6009489248256 7678791817216 8638640794368 10632173285376 11518187725824 15357583634432 17277281588736 23036375451648 34554563177472 46072750903296 69109126354944 138218252709888
• Sum of all divisors σ(n): 453698030036160
• Sum of proper divisors (its aliquot sum) s(n): 315479777326272
• 138218252709888 is an abundant number, because the sum of its proper divisors (315479777326272) is greater than itself. Its abundance is 177261524616384

Bases of 138218252709888

• Binary: 11111011011010101110001110110101011000000000000₂
• Hexadecimal: 0x7DB571DAB000
• Base-36: 1CZSL6Z280

Squares and roots of 138218252709888

• 138218252709888 squared (138218252709888²) is 19104285382174461455492972544
• 138218252709888 cubed (138218252709888³) is 2640560944795208962800678557032668381315072
• The square root of 138218252709888 is 11756625.9066914261
• The cube root of 138218252709888 is 51703.7210113813

Scales and comparisons

• 138,218,252,709,888 seconds is equal to 4,394,912 years, 46 weeks, 5 days, 6 hours, 4 minutes, 48 seconds.
• To count from 1 to 138,218,252,709,888 would take you about ten million, nine hundred eighty-seven thousand, two hundred eighty-two 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 138218252709888 cubic inches would be around 4308.6 feet tall.

Recreational maths with 138218252709888

• 138218252709888 backwards is 888907252812831
• 138218252709888 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138218252709888's digits is 72
• More coming soon!