137898528768

Names of 137898528768

• Cardinal: 137898528768 can be written as One hundred thirty-seven billion, eight hundred ninety-eight million, five hundred twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37898528768 × 10¹¹

Factors of 137898528768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 174

Divisors of 137898528768

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 37 39 42 44 48 52 56 63 64 66 72 74 77 78 84 88 91 96 99 101 104 111 112 117 126 128 132 143 144 148 154 156 168 176 182 192 198 202 208 222 224 231 234 252 256 259 264 273 286 288 296 303 308 312 333 336 352 364 384 396 404 407 416 429 444 448 462 468 481 504 512 518 528 546 572 576 592 606 616 624 666 672 693 704 707 728 768 777 792 808 814 819 832 858 888 896 909 924 936 962 1001 1008 1024 1036 1056 1092 1111 1144 1152 1184 1212 1221 1232 1248 1287 1313 1332 1344 1386 1408 1414 1443 1456 1536 1554 1584 1616 1628 1638 1664 1716 1776 1792 1818 1848 1872 1924 2002 2016 2048 2072 2112 2121 2184 2222 2288 2304 2331 2368 2424 2442 2464 2496 2574 2626 2664 2688 2772 2816 2828 2849 2886 2912 3003 3072 3108 3168 3232 3256 3276 3328 3333 3367 3432 3552 3584 3636 3663 3696 3737 3744 3848 3939 4004 4032 4096 4144 4224 4242 4329 4368 4444 4576 4608 4662 4736 4848 4884 4928 4992 5148 5252 5291 5328 5376 5544 5632 5656 5698 5772 5824 6006 6144 6216 6336 6363 6464 6512 6552 6656 6666 6734 6864 7104 7168 7272 7326 7392 7474 7488 7696 7777 7878 8008 8064 8288 8448 8484 8547 8658 8736 8888 9009 9152 9191 9216 9324 9472 9696 9768 9856 9984 9999 10101 10296 10504 10582 10656 10752 11088 11211 11264 11312 11396 11544 11648 11817 12012 12288 12432 12672 12726 12928 13024 13104 13312 13332 13468 13728 14208 14336 14443 14544 14652 14784 14948 14976 15392 15554 15756 15873 16016 16128 16576 16896 16968 17094 17316 17472 17776 18018 18304 18382 18432 18648 18944 19392 19536 19712 19968 19998 20202 20592 21008 21164 21312 21504 22176 22422 22528 22624 22792 23088 23296 23331 23634 24024 24864 25344 25452 25641 25856 26048 26159 26208 26624 26664 26936 27456 27573 28416 28672 28886 29088 29304 29568 29896 29952 30303 30784 31108 31512 31746 32032 32256 33152 33633 33792 33936 34188 34632 34944 35552 36036 36608 36764 36864 37037 37296 37888 38784 39072 39424 39936 39996 40404 41107 41184 42016 42328 42624 43008 43329 44352 44844 45056 45248 45584 46176 46592 46662 47268 47619 48048 48581 49728 50688 50904 51282 51712 52096 52318 52416 53248 53328 53872 54912 55146 56832 57772 58176 58608 59136 59792 59904 60606 61568 62216 63024 63492 64064 64512 66304 67266 67584 67872 68376 69264 69888 69993 71104 72072 73216 73528 74074 74592 75776 77568 78144 78477 78848 79872 79992 80808 82214 82368 82719 84032 84656 85248 86016 86658 88704 89688 90496 91168 92352 93184 93324 94536 95238 96096 97162 99456 101101 101376 101808 102564 103424 104192 104636 104832 106656 107744 109824 110292 111111 113664 115544 116352 117216 118272 119584 119808 121212 123136 123321 124432 126048 126984 128128 129024 129987 132608 134532 135168 135744 136752 138528 139776 139986 142208 144144 145743 146432 147056 148148 149184 151552 155136 156288 156954 157696 159744 159984 161616 164428 164736 165438 168064 169312 170496 173316 177408 179376 180992 182336 184704 186368 186648 189072 190476 192192 194324 198912 202202 202752 203616 205128 206848 208384 209272 209664 213312 215488 219648 220584 222222 227328 231088 232704 234432 235431 236544 239168 239616 242424 246272 246642 248864 252096 253968 256256 258048 259974 265216 269064 271488 273504 277056 279552 279972 284416 287749 288288 291486 292864 294112 296296 298368 303303 310272 312576 313908 315392 319968 323232 328856 329472 330876 333333 336128 338624 340067 340992 346632 354816 358752 361984 364672 369408 369963 372736 373296 378144 380952 384384 388648 397824 404404 405504 407232 410256 413696 416768 418544 419328 426624 430976 437229 439296 441168 444444 454656 462176 465408 468864 470862 473088 478336 479232 484848 492544 493284 497728 504192 507936 512512 519948 530432 534391 538128 542976 547008 554112 559104 559944 568832 575498 576576 582972 585728 588224 592592 596736 606606 620544 625152 627816 639936 646464 657712 658944 661752 666666 672256 677248 680134 681984 693264 709632 717504 723968 729344 738816 739926 746592 756288 761904 768768 777296 795648 808808 814464 820512 833536 837088 838656 853248 861952 863247 874458 878592 882336 888888 909909 924352 930816 937728 941724 946176 956672 969696 985088 986568 995456 1008384 1015872 1020201 1025024 1039896 1060864 1068782 1076256 1085952 1094016 1108224 1118208 1119888 1137664 1150996 1153152 1165944 1176448 1185184 1193472 1213212 1241088 1250304 1255632 1279872 1292928 1315424 1317888 1323504 1333332 1344512 1354496 1360268 1363968 1386528 1419264 1435008 1447936 1458688 1477632 1479852 1493184 1512576 1523808 1537536 1554592 1591296 1603173 1617616 1628928 1641024 1667072 1674176 1677312 1706496 1723904 1726494 1748916 1757184 1764672 1777776 1819818 1848704 1861632 1875456 1883448 1913344 1939392 1970176 1973136 1990912 2016768 2031744 2040402 2050048 2079792 2137564 2152512 2171904 2188032 2216448 2239776 2275328 2301992 2306304 2331888 2352896 2370368 2386944 2426424 2500608 2511264 2559744 2585856 2589741 2630848 2635776 2647008 2666664 2689024 2708992 2720536 2773056 2838528 2870016 2895872 2917376 2955264 2959704 2986368 3025152 3047616 3060603 3075072 3109184 3182592 3206346 3235232 3257856 3282048 3348352 3354624 3412992 3447808 3452988 3497832 3529344 3555552 3639636 3697408 3723264 3740737 3750912 3766896 3826688 3878784 3946272 3981824 4033536 4063488 4080804 4100096 4159584 4275128 4305024 4343808 4376064 4432896 4479552 4550656 4603984 4612608 4663776 4705792 4740736 4773888 4809519 4852848 5001216 5022528 5119488 5171712 5179482 5261696 5271552 5294016 5333328 5378048 5417984 5441072 5546112 5740032 5834752 5910528 5919408 5972736 6050304 6095232 6121206 6150144 6218368 6412692 6470464 6515712 6564096 6696704 6825984 6895616 6905976 6995664 7058688 7111104 7279272 7394816 7481474 7501824 7533792 7653376 7757568 7892544 7963648 8067072 8126976 8161608 8319168 8550256 8610048 8687616 8752128 8865792 8959104 9207968 9225216 9327552 9411584 9481472 9547776 9619038 9705696 10045056 10238976 10343424 10358964 10523392 10588032 10666656 10835968 10882144 11092224 11222211 11480064 11669504 11838816 11945472 12100608 12190464 12242412 12300288 12436736 12825384 12940928 13031424 13128192 13393408 13651968 13791232 13811952 13991328 14117376 14222208 14558544 14789632 14962948 15003648 15067584 15306752 15515136 15785088 15927296 16134144 16253952 16323216 16638336 17100512 17220096 17504256 17731584 17918208 18415936 18450432 18655104 18823168 18962944 19238076 19411392 20090112 20477952 20686848 20717928 21046784 21176064 21333312 21671936 21764288 22184448 22444422 22960128 23677632 23890944 24201216 24380928 24484824 24873472 25650768 25881856 26062848 26256384 26786816 27623904 27982656 28234752 28444416 29117088 29579264 29925896 30135168 31030272 31570176 31854592 32507904 32646432 33276672 33666633 34201024 34440192 35008512 35836416 36831872 36900864 37310208 37646336 37925888 38476152 38822784 40180224 40955904 41373696 41435856 42093568 42352128 42666624 43528576 44368896 44888844 45920256 47355264 47781888 48402432 48761856 48969648 49746944 51301536 51763712 52512768 53573632 55247808 55965312 56469504 56888832 58234176 59158528 59851792 60270336 62060544 63140352 65015808 65292864 66553344 67333266 68402048 68880384 71672832 73663744 74620416 75851776 76952304 77645568 80360448 82871712 84187136 84704256 85333248 87057152 88737792 89777688 94710528 95563776 97523712 97939296 99493888 102603072 103527424 105025536 107147264 110495616 111930624 112939008 113777664 116468352 119703584 120540672 124121088 126280704 130585728 133106688 134666532 136804096 137760768 143345664 147327488 149240832 151703552 153904608 155291136 160720896 165743424 168374272 169408512 170666496 174114304 177475584 179555376 189421056 195047424 195878592 198987776 205206144 207054848 220991232 223861248 227555328 232936704 239407168 241081344 252561408 261171456 266213376 269333064 273608192 286691328 294654976 298481664 307809216 310582272 321441792 331486848 338817024 341332992 348228608 359110752 378842112 391757184 410412288 414109696 441982464 447722496 455110656 465873408 478814336 482162688 505122816 522342912 532426752 538666128 547216384 589309952 596963328 615618432 621164544 662973696 682665984 696457216 718221504 757684224 783514368 820824576 883964928 895444992 931746816 957628672 964325376 1044685824 1077332256 1094432768 1178619904 1231236864 1242329088 1325947392 1365331968 1392914432 1436443008 1515368448 1567028736 1641649152 1767929856 1790889984 1863493632 1915257344 2089371648 2154664512 2188865536 2462473728 2651894784 2872886016 3134057472 3283298304 3535859712 3726987264 3830514688 4178743296 4309329024 4924947456 5303789568 5745772032 6268114944 6566596608 7661029376 8618658048 9849894912 10607579136 11491544064 12536229888 15322058752 17237316096 19699789824 22983088128 34474632192 45966176256 68949264384 137898528768
• Sum of all divisors σ(n): 554706577152
• Sum of proper divisors (its aliquot sum) s(n): 416808048384
• 137898528768 is an abundant number, because the sum of its proper divisors (416808048384) is greater than itself. Its abundance is 278909519616

Bases of 137898528768

• Binary: 10000000011011011001001001000000000000₂
• Hexadecimal: 0x201B649000
• Base-36: 1RCL81S0

Squares and roots of 137898528768

• 137898528768 squared (137898528768²) is 19016004236378923597824
• 137898528768 cubed (137898528768³) is 2622279007242708867903406926200832
• The square root of 137898528768 is 371346.9116176947
• The cube root of 137898528768 is 5166.3823530615

Scales and comparisons

• 137,898,528,768 seconds is equal to 4,384 years, 38 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,898,528,768 would take you about eight thousand, seven hundred sixty-nine 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 137898528768 cubic inches would be around 430.5 feet tall.

Recreational maths with 137898528768

• 137898528768 backwards is 867825898731
• 137898528768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137898528768's digits is 72
• More coming soon!