137764391067648

Names of 137764391067648

• Cardinal: 137764391067648 can be written as One hundred thirty-seven trillion, seven hundred sixty-four billion, three hundred ninety-one million, sixty-seven thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.37764391067648 × 10¹⁴

Factors of 137764391067648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 406

Divisors of 137764391067648

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 64 69 72 87 92 96 116 128 138 144 174 184 192 207 232 256 261 276 288 348 349 368 384 414 464 512 522 529 552 576 667 696 698 736 768 828 928 1024 1044 1047 1058 1104 1152 1334 1392 1396 1472 1536 1587 1656 1856 2001 2048 2088 2094 2116 2208 2304 2668 2784 2792 2944 3072 3141 3174 3312 3712 4002 4096 4176 4188 4232 4416 4608 4761 5336 5568 5584 5888 6003 6144 6282 6348 6624 7424 8004 8027 8192 8352 8376 8464 8832 9216 9522 10121 10672 11136 11168 11776 12006 12288 12564 12696 13248 14848 15341 16008 16054 16704 16752 16928 17664 18432 19044 20242 21344 22272 22336 23552 24012 24081 24576 25128 25392 26496 29696 30363 30682 32016 32108 33408 33504 33856 35328 36864 38088 40484 42688 44544 44672 46023 47104 48024 48162 50256 50784 52992 59392 60726 61364 64032 64216 66816 67008 67712 70656 72243 73728 76176 80968 85376 89088 89344 91089 92046 94208 96048 96324 100512 101568 105984 118784 121452 121801 122728 128064 128432 133632 134016 135424 138069 141312 144486 152352 161936 170752 178176 178688 182178 184092 184621 188416 192096 192648 201024 203136 211968 232783 237568 242904 243602 245456 256128 256864 267264 268032 270848 276138 282624 288972 304704 323872 341504 356352 357376 364356 365403 368184 369242 384192 385296 402048 406272 423936 465566 485808 487204 490912 512256 513728 534528 536064 541696 552276 553863 565248 577944 609408 647744 683008 698349 712704 714752 728712 730806 736368 738484 768384 770592 804096 812544 847872 931132 971616 974408 981824 1024512 1027456 1069056 1072128 1083392 1096209 1104552 1107726 1155888 1218816 1295488 1366016 1396698 1429504 1457424 1461612 1472736 1476968 1536768 1541184 1608192 1625088 1661589 1695744 1862264 1943232 1948816 1963648 2049024 2054912 2095047 2138112 2144256 2166784 2192418 2209104 2215452 2311776 2437632 2590976 2732032 2793396 2801423 2859008 2914848 2923224 2945472 2953936 3073536 3082368 3216384 3250176 3323178 3532229 3724528 3886464 3897632 3927296 4098048 4109824 4190094 4288512 4333568 4384836 4418208 4430904 4623552 4875264 5181952 5354009 5464064 5586792 5602846 5829696 5846448 5890944 5907872 6147072 6164736 6432768 6500352 6646356 7064458 7449056 7772928 7795264 7854592 8196096 8219648 8380188 8404269 8577024 8769672 8836416 8861808 9247104 9750528 10363904 10596687 10708018 11173584 11205692 11659392 11692896 11781888 11815744 12294144 12329472 12865536 13000704 13292712 14128916 14898112 15545856 15590528 15709184 16062027 16392192 16439296 16760376 16808538 17539344 17672832 17723616 18494208 19501056 20727808 21193374 21416036 22347168 22411384 23318784 23385792 23563776 23631488 24588288 24658944 25212807 25731072 26585424 28257832 29796224 31091712 31181056 31418368 31790061 32124054 32878592 33520752 33617076 35078688 35345664 35447232 36988416 39002112 41455616 42386748 42832072 44694336 44822768 46637568 46771584 47127552 47262976 48186081 49176576 49317888 50425614 53170848 56515664 59592448 62183424 62362112 62836736 63580122 64248108 64432729 65757184 67041504 67234152 70157376 70691328 70894464 73976832 81241267 82911232 84773496 85664144 89388672 89645536 93275136 93543168 94255104 94525952 96372162 98635776 100851228 106341696 113031328 119184896 124366848 124724224 125673472 127160244 128496216 128865458 134083008 134468304 140314752 141382656 141788928 147953664 162482534 169546992 171328288 178777344 179291072 186550272 187086336 188510208 189051904 192744324 193298187 197271552 201702456 212683392 226062656 238369792 243723801 248733696 249448448 254320488 256992432 257730916 268166016 268936608 280629504 282765312 283577856 295907328 324965068 339093984 342656576 357554688 358582144 373100544 374172672 377020416 378103808 385488648 386596374 403404912 425366784 452125312 476739584 487447602 498896896 508640976 513984864 515461832 536332032 537873216 561259008 565530624 567155712 579894561 591814656 649930136 678187968 685313152 715109376 717164288 731171403 746201088 748345344 756207616 770977296 773192748 806809824 850733568 904250624 953479168 974895204 997793792 1017281952 1027969728 1030923664 1072664064 1075746432 1122518016 1131061248 1134311424 1159789122 1299860272 1356375936 1370626304 1430218752 1434328576 1462342806 1496690688 1512415232 1541954592 1546385496 1613619648 1701467136 1808501248 1868549141 1906958336 1949790408 2034563904 2055939456 2061847328 2145328128 2151492864 2245036032 2268622848 2319578244 2599720544 2712751872 2741252608 2860437504 2868657152 2924685612 2993381376 3083909184 3092770992 3227239296 3402934272 3617002496 3737098282 3899580816 4069127808 4111878912 4123694656 4290656256 4302985728 4490072064 4537245696 4639156488 5199441088 5425503744 5482505216 5605647423 5720875008 5737314304 5849371224 6167818368 6185541984 6454478592 6805868544 7234004992 7474196564 7799161632 8138255616 8223757824 8247389312 8581312512 8605971456 8980144128 9278312976 10398882176 10851007488 10965010432 11211294846 11474628608 11698742448 12335636736 12371083968 12908957184 13611737088 14468009984 14948393128 15598323264 16276511232 16447515648 16494778624 16816942269 17162625024 17211942912 18556625952 20797764352 21702014976 21930020864 22422589692 22949257216 23397484896 24671273472 24742167936 25817914368 28936019968 29896786256 31196646528 32553022464 32895031296 32989557248 33633884538 34423885824 37113251904 41595528704 43404029952 43860041728 44845179384 46794969792 49342546944 49484335872 51635828736 59793572512 62393293056 65106044928 65790062592 65979114496 67267769076 68847771648 74226503808 83191057408 86808059904 89690358768 93589939584 98685093888 98968671744 103271657472 119587145024 124786586112 130212089856 131580125184 131958228992 134535538152 148453007616 166382114816 179380717536 187179879168 197370187776 197937343488 206543314944 239174290048 249573172224 260424179712 263916457984 269071076304 296906015232 332764229632 358761435072 374359758336 394740375552 395874686976 478348580096 499146344448 527832915968 538142152608 593812030464 665528459264 717522870144 748719516672 791749373952 956697160192 998292688896 1076284305216 1187624060928 1435045740288 1497439033344 1583498747904 1913394320384 1996585377792 2152568610432 2375248121856 2870091480576 2994878066688 3826788640768 4305137220864 4750496243712 5740182961152 5989756133376 7653577281536 8610274441728 11480365922304 15307154563072 17220548883456 22960731844608 34441097766912 45921463689216 68882195533824 137764391067648
• Sum of all divisors σ(n): 431598767983110
• Sum of proper divisors (its aliquot sum) s(n): 293834376915462
• 137764391067648 is an abundant number, because the sum of its proper divisors (293834376915462) is greater than itself. Its abundance is 156069985847814

Bases of 137764391067648

• Binary: 11111010100101111000101100101111010000000000000₂
• Hexadecimal: 0x7D4BC597A000
• Base-36: 1CU035GXS0

Squares and roots of 137764391067648

• 137764391067648 squared (137764391067648²) is 18979027446239852049312251904
• 137764391067648 cubed (137764391067648³) is 2614634159187411706186837863825025680801792
• The square root of 137764391067648 is 11737307.6583877617
• The cube root of 137764391067648 is 51647.0664876439

Scales and comparisons

• 137,764,391,067,648 seconds is equal to 4,380,481 years, 26 weeks, 23 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,764,391,067,648 would take you about ten million, nine hundred fifty-one thousand, two hundred three 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 137764391067648 cubic inches would be around 4303.9 feet tall.

Recreational maths with 137764391067648

• 137764391067648 backwards is 846760193467731
• 137764391067648 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137764391067648's digits is 72
• More coming soon!