40688137728

Names of 40688137728

• Cardinal: 40688137728 can be written as Forty billion, six hundred eighty-eight million, one hundred thirty-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0688137728 × 10¹⁰

Factors of 40688137728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 220

Divisors of 40688137728

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 54 56 58 63 64 72 81 84 87 96 108 112 116 126 128 144 162 168 174 179 189 192 203 216 224 232 243 252 256 261 288 324 336 348 358 378 384 406 432 448 464 486 504 512 522 537 567 576 609 648 672 696 716 729 756 768 783 812 864 896 928 972 1008 1044 1074 1134 1152 1218 1253 1296 1344 1392 1432 1458 1512 1536 1566 1611 1624 1701 1728 1792 1827 1856 1944 2016 2088 2148 2187 2268 2304 2349 2436 2506 2592 2688 2784 2864 2916 3024 3132 3222 3248 3402 3456 3584 3654 3712 3759 3888 4032 4176 4296 4374 4536 4608 4698 4833 4872 5012 5103 5184 5191 5376 5481 5568 5728 5832 6048 6264 6444 6496 6804 6912 7047 7308 7424 7518 7776 8064 8352 8592 8748 9072 9396 9666 9744 10024 10206 10368 10382 10752 10962 11136 11277 11456 11664 12096 12528 12888 12992 13608 13824 14094 14499 14616 14848 15036 15309 15552 15573 16128 16443 16704 17184 17496 18144 18792 19332 19488 20048 20412 20736 20764 21141 21924 22272 22554 22912 23328 24192 25056 25776 25984 27216 28188 28998 29232 30072 30618 31104 31146 32256 32886 33408 33831 34368 34992 36288 36337 37584 38664 38976 40096 40824 41472 41528 42282 43497 43848 44544 45108 45824 46656 46719 48384 49329 50112 51552 51968 54432 56376 57996 58464 60144 61236 62208 62292 63423 65772 66816 67662 68736 69984 72576 72674 75168 77328 77952 80192 81648 83056 84564 86994 87696 90216 91648 93312 93438 96768 98658 100224 101493 103104 103936 108864 109011 112752 115992 116928 120288 122472 124416 124584 126846 130491 131544 133632 135324 137472 139968 140157 145152 145348 147987 150336 154656 155904 160384 163296 166112 169128 173988 175392 180432 186624 186876 197316 200448 202986 206208 217728 218022 225504 231984 233856 240576 244944 249168 253692 260982 263088 270648 274944 279936 280314 290304 290696 295974 300672 304479 309312 311808 320768 326592 327033 332224 338256 347976 350784 360864 373248 373752 391473 394632 400896 405972 412416 420471 435456 436044 443961 451008 463968 467712 481152 489888 498336 507384 521964 526176 541296 559872 560628 581392 591948 601344 608958 618624 641536 653184 654066 664448 676512 695952 701568 721728 747504 782946 789264 811944 824832 840942 870912 872088 887922 902016 913437 927936 935424 962304 979776 981099 996672 1014768 1043928 1052352 1082592 1119744 1121256 1162784 1183896 1202688 1217916 1237248 1261413 1306368 1308132 1328896 1353024 1391904 1403136 1443456 1495008 1565892 1578528 1623888 1681884 1744176 1775844 1804032 1826874 1855872 1924608 1959552 1962198 1993344 2029536 2087856 2104704 2165184 2242512 2325568 2367792 2435832 2474496 2522826 2612736 2616264 2657792 2706048 2740311 2783808 2806272 2886912 2943297 2990016 3131784 3157056 3247776 3363768 3488352 3551688 3608064 3653748 3711744 3784239 3919104 3924396 3986688 4059072 4175712 4209408 4330368 4485024 4651136 4735584 4871664 5045652 5232528 5412096 5480622 5567616 5773824 5886594 5980032 6263568 6314112 6495552 6727536 6976704 7103376 7307496 7423488 7568478 7838208 7848792 7973376 8118144 8351424 8418816 8660736 8829891 8970048 9302272 9471168 9743328 10091304 10465056 10824192 10961244 11135232 11352717 11773188 11960064 12527136 12628224 12991104 13455072 13953408 14206752 14614992 15136956 15697584 16236288 16702848 17321472 17659782 17940096 18604544 18942336 19486656 20182608 20930112 21922488 22270464 22705434 23546376 23920128 25054272 25256448 25982208 26489673 26910144 27906816 28413504 29229984 30273912 31395168 32472576 33405696 35319564 35880192 37884672 38973312 40365216 41860224 43844976 45410868 47092752 50108544 51964416 52979346 53820288 55813632 56827008 58459968 60547824 62790336 66811392 70639128 71760384 75769344 77946624 79469019 80730432 83720448 87689952 90821736 94185504 100217088 105958692 107640576 113654016 116919936 121095648 125580672 141278256 155893248 158938038 161460864 167440896 175379904 181643472 188371008 200434176 211917384 215281152 227308032 233839872 242191296 251161344 282556512 317876076 322921728 350759808 363286944 376742016 423834768 467679744 484382592 502322688 565113024 635752152 645843456 701519616 726573888 753484032 847669536 968765184 1130226048 1271504304 1403039232 1453147776 1506968064 1695339072 1937530368 2260452096 2543008608 2906295552 3390678144 4520904192 5086017216 5812591104 6781356288 10172034432 13562712576 20344068864 40688137728
• Sum of all divisors σ(n): 144955008000
• Sum of proper divisors (its aliquot sum) s(n): 104266870272
• 40688137728 is an abundant number, because the sum of its proper divisors (104266870272) is greater than itself. Its abundance is 63578732544

Bases of 40688137728

• Binary: 100101111001001100111011011000000000₂
• Hexadecimal: 0x97933B600
• Base-36: IOWO000

Squares and roots of 40688137728

• 40688137728 squared (40688137728²) is 1655524551772697001984
• 40688137728 cubed (40688137728³) is 67360210974612962166737681252352
• The square root of 40688137728 is 201713.0083261861
• The cube root of 40688137728 is 3439.4521427867

Scales and comparisons

• 40,688,137,728 seconds is equal to 1,293 years, 39 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 40,688,137,728 would take you about two thousand, five hundred eighty-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 40688137728 cubic inches would be around 286.6 feet tall.

Recreational maths with 40688137728

• 40688137728 backwards is 82773188604
• 40688137728 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40688137728's digits is 54
• More coming soon!