138917680128

Names of 138917680128

• Cardinal: 138917680128 can be written as One hundred thirty-eight billion, nine hundred seventeen million, six hundred eighty thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38917680128 × 10¹¹

Factors of 138917680128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 88

Divisors of 138917680128

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 29 31 32 36 46 48 54 58 62 64 69 72 81 87 92 93 96 108 116 124 128 138 144 162 174 184 186 192 207 216 232 243 248 256 261 276 279 288 324 348 368 372 384 414 432 464 486 496 512 522 552 558 576 621 648 667 696 713 729 736 744 768 783 828 837 864 899 928 972 992 1024 1044 1104 1116 1152 1242 1296 1334 1392 1426 1458 1472 1488 1536 1566 1656 1674 1728 1798 1856 1863 1944 1984 2001 2088 2139 2187 2208 2232 2304 2349 2484 2511 2592 2668 2697 2784 2852 2916 2944 2976 3072 3132 3312 3348 3456 3596 3712 3726 3888 3968 4002 4176 4278 4374 4416 4464 4608 4698 4968 5022 5184 5336 5394 5568 5589 5704 5832 5888 5952 6003 6264 6417 6561 6624 6696 6912 7047 7192 7424 7452 7533 7776 7936 8004 8091 8352 8556 8748 8832 8928 9216 9396 9936 10044 10368 10672 10788 11136 11178 11408 11664 11776 11904 12006 12528 12834 13122 13248 13392 13824 14094 14384 14848 14904 15066 15552 15872 16008 16182 16704 16767 17112 17496 17664 17856 18009 18792 19251 19872 20088 20677 20736 21141 21344 21576 22272 22356 22599 22816 23328 23552 23808 24012 24273 25056 25668 26244 26496 26784 27648 28188 28768 29696 29808 30132 31104 31744 32016 32364 33408 33534 34224 34992 35328 35712 36018 37584 38502 39744 40176 41354 41472 42282 42688 43152 44544 44712 45198 45632 46656 47616 48024 48546 50112 50301 51336 52488 52992 53568 54027 56376 57536 57753 59616 60264 62031 62208 63423 64032 64728 66816 67068 67797 68448 69984 70656 71424 72036 72819 75168 77004 79488 80352 82708 82944 84564 85376 86304 89088 89424 90396 91264 93312 95232 96048 97092 100224 100602 102672 104976 105984 107136 108054 112752 115072 115506 119232 120528 124062 124416 126846 128064 129456 133632 134136 135594 136896 139968 142848 144072 145638 150336 150903 154008 158976 160704 162081 165416 169128 170752 172608 173259 178848 180792 182528 186093 186624 190269 192096 194184 200448 201204 203391 205344 209952 211968 214272 216108 218457 225504 230144 231012 238464 241056 248124 248832 253692 256128 258912 267264 268272 271188 273792 279936 285696 288144 291276 300672 301806 308016 317952 321408 324162 330832 338256 341504 345216 346518 357696 361584 365056 372186 373248 380538 384192 388368 400896 402408 406782 410688 419904 428544 432216 436914 451008 460288 462024 476928 482112 486243 496248 507384 512256 517824 519777 536544 542376 547584 558279 559872 576288 582552 601344 603612 616032 635904 642816 648324 655371 661664 676512 683008 690432 693036 715392 723168 730112 744372 746496 761076 768384 776736 801792 804816 813564 821376 839808 857088 864432 873828 902016 920576 924048 953856 964224 972486 992496 1014768 1024512 1035648 1039554 1073088 1084752 1095168 1116558 1119744 1152576 1165104 1202688 1207224 1232064 1285632 1296648 1310742 1323328 1353024 1380864 1386072 1430784 1446336 1458729 1488744 1522152 1536768 1553472 1559331 1609632 1627128 1642752 1674837 1679616 1728864 1747656 1804032 1848096 1907712 1928448 1944972 1966113 1984992 2029536 2049024 2071296 2079108 2146176 2169504 2190336 2233116 2239488 2305152 2330208 2405376 2414448 2464128 2571264 2593296 2621484 2646656 2706048 2761728 2772144 2861568 2892672 2917458 2977488 3044304 3073536 3106944 3118662 3219264 3254256 3285504 3349674 3359232 3457728 3495312 3608064 3696192 3856896 3889944 3932226 3969984 4059072 4142592 4158216 4292352 4339008 4376187 4466232 4610304 4660416 4677993 4828896 4928256 5024511 5186592 5242968 5293312 5412096 5544288 5723136 5785344 5834916 5898339 5954976 6088608 6147072 6213888 6237324 6438528 6508512 6571008 6699348 6718464 6915456 6990624 7216128 7392384 7713792 7779888 7864452 7939968 8118144 8285184 8316432 8584704 8678016 8752374 8932464 9220608 9320832 9355986 9657792 9856512 10049022 10373184 10485936 10586624 10824192 11088576 11570688 11669832 11796678 11909952 12177216 12427776 12474648 12877056 13017024 13398696 13830912 13981248 14784768 15073533 15559776 15728904 15879936 16236288 16632864 17169408 17356032 17504748 17864928 18441216 18641664 18711972 19315584 19713024 20098044 20746368 20971872 21173248 21648384 22177152 23141376 23339664 23593356 23819904 24354432 24855552 24949296 25754112 26034048 26797392 27661824 27962496 29569536 30147066 31119552 31457808 31759872 32472576 33265728 34712064 35009496 35729856 37283328 37423944 38631168 40196088 41492736 41943744 44354304 45220599 46679328 47186712 47639808 48708864 49898592 51508224 52068096 53594784 55323648 55924992 59139072 60294132 62239104 62915616 63519744 64945152 66531456 69424128 70018992 71459712 74566656 74847888 77262336 80392176 82985472 83887488 88708608 90441198 93358656 94373424 95279616 97417728 99797184 104136192 107189568 111849984 120588264 124478208 125831232 133062912 135661797 140037984 142919424 149695776 154524672 160784352 165970944 167774976 177417216 180882396 186717312 188746848 190559232 194835456 199594368 208272384 214379136 223699968 241176528 248956416 251662464 266125824 271323594 280075968 285838848 299391552 321568704 335549952 361764792 373434624 377493696 399188736 428758272 482353056 497912832 503324928 532251648 542647188 560151936 571677696 598783104 643137408 671099904 723529584 746869248 754987392 798377472 857516544 964706112 1006649856 1085294376 1120303872 1197566208 1286274816 1447059168 1493738496 1509974784 1596754944 1715033088 1929412224 2013299712 2170588752 2240607744 2395132416 2572549632 2894118336 3019949568 3858824448 4341177504 4481215488 4790264832 5145099264 5788236672 6039899136 7717648896 8682355008 11576473344 15435297792 17364710016 23152946688 34729420032 46305893376 69458840064 138917680128
• Sum of all divisors σ(n): 464129902080
• Sum of proper divisors (its aliquot sum) s(n): 325212221952
• 138917680128 is an abundant number, because the sum of its proper divisors (325212221952) is greater than itself. Its abundance is 186294541824

Bases of 138917680128

• Binary: 10000001011000001000111001010000000000₂
• Hexadecimal: 0x2058239400
• Base-36: 1RTG0000

Squares and roots of 138917680128

• 138917680128 squared (138917680128²) is 19298121852145326096384
• 138917680128 cubed (138917680128³) is 2680850318527491321227723409457152
• The square root of 138917680128 is 372716.6217490171
• The cube root of 138917680128 is 5179.0786628289

Scales and comparisons

• 138,917,680,128 seconds is equal to 4,417 years, 7 weeks, 6 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,917,680,128 would take you about eight thousand, eight hundred thirty-four 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 138917680128 cubic inches would be around 431.6 feet tall.

Recreational maths with 138917680128

• 138917680128 backwards is 821086719831
• 138917680128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138917680128's digits is 54
• More coming soon!