138127867184101392

Names of 138127867184101392

• Cardinal: 138127867184101392 can be written as One hundred thirty-eight quadrillion, one hundred twenty-seven trillion, eight hundred sixty-seven billion, one hundred eighty-four million, one hundred one thousand, three hundred ninety-two.

Scientific notation

• Scientific notation: 1.38127867184101392 × 10¹⁷

Factors of 138127867184101392

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 531748

Divisors of 138127867184101392

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 81 87 104 108 116 117 144 156 162 174 208 216 232 234 261 312 324 348 351 377 432 464 468 522 624 648 696 702 754 783 936 1044 1053 1131 1296 1392 1404 1508 1566 1872 2088 2106 2262 2349 2808 3016 3132 3393 4176 4212 4524 4698 5616 6032 6264 6786 8424 9048 9396 10179 12528 13572 16848 18096 18792 20358 27144 30537 37584 40716 54288 61074 81432 122148 162864 244296 488592 531701 1063402 1595103 2126804 3190206 4253608 4785309 6380412 6912113 8507216 9570618 12760824 13824226 14355927 15419329 19141236 20736339 25521648 27648452 28711854 30838658 38282472 41472678 43067781 46257987 55296904 57423708 61677316 62209017 76564944 82945356 86135562 92515974 110593808 114847416 123354632 124418034 138773961 165890712 172271124 185031948 186627051 200451277 229694832 246709264 248836068 277547922 331781424 344542248 370063896 373254102 400902554 416321883 497672136 555095844 559881153 601353831 689084496 740127792 746508204 801805108 832643766 995344272 1110191688 1119762306 1202707662 1248965649 1493016408 1603610216 1665287532 1804061493 2220383376 2239524612 2405415324 2497931298 2986032816 3207220432 3330575064 3608122986 4479049224 4810830648 4995862596 5412184479 6661150128 7216245972 8958098448 9621661296 9991725192 10824368958 14432491944 16236553437 19983450384 21648737916 28864983888 32473106874 43297475832 64946213748 86594951664 129892427496 259784854992 282705953401 565411906802 848117860203 1130823813604 1696235720406 2261647627208 2544353580609 3392471440812 3675177394213 4523295254416 5088707161218 6784942881624 7350354788426 7633060741827 8198472648629 10177414322436 11025532182639 13569885763248 14700709576852 15266121483654 16396945297258 20354828644872 22051064365278 22899182225481 24595417945887 29401419153704 30532242967308 32793890594516 33076596547917 40709657289744 44102128730556 45798364450962 49190835891774 58802838307408 61064485934616 65587781189032 66153193095834 73786253837661 88204257461112 91596728901924 98381671783548 99229789643751 106580144432177 122128971869232 131175562378064 132306386191668 147572507675322 176408514922224 183193457803848 196763343567096 198459579287502 213160288864354 221358761512983 264612772383336 295145015350644 297689368931253 319740433296531 366386915607696 393526687134192 396919158575004 426320577728708 442717523025966 529225544766672 590290030701288 595378737862506 639480866593062 664076284538949 793838317150008 852641155457416 885435046051932 959221299889593 1180580061402576 1190757475725012 1278961733186124 1328152569077898 1587676634300016 1705282310914832 1770870092103864 1918442599779186 2381514951450024 2557923466372248 2656305138155796 2877663899668779 3541740184207728 3836885199558372 4763029902900048 5115846932744496 5312610276311592 5755327799337558 7673770399116744 8632991699006337 10625220552623184 11510655598675116 15347540798233488 17265983398012674 23021311197350232 34531966796025348 46042622394700464 69063933592050696 138127867184101392
• Sum of all divisors σ(n): 445381450760968260
• Sum of proper divisors (its aliquot sum) s(n): 307253583576866868
• 138127867184101392 is an abundant number, because the sum of its proper divisors (307253583576866868) is greater than itself. Its abundance is 169125716392765476

Bases of 138127867184101392

• Binary: 111101010101110101001000000111001000101110011100000010000₂
• Hexadecimal: 0x1EABA9039173810
• Base-36: 11S28Q6DKH00

Squares and roots of 138127867184101392

• 138127867184101392 squared (138127867184101392²) is 19079307692828754211275050536337664
• 138127867184101392 cubed (138127867184101392³) is 2635384078959654120116772148823126418692798524428288
• The square root of 138127867184101392 is 371655576.0164259825
• The cube root of 138127867184101392 is 516924.4829123057

Scales and comparisons

• 138,127,867,184,101,392 seconds is equal to 4,392,038,918 years, 47 weeks, 1 day, 15 hours, 43 minutes, 12 seconds.
• To count from 1 to 138,127,867,184,101,392 would take you about thirteen billion, one hundred seventy-six million, one hundred sixteen thousand, seven hundred fifty-six 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 138127867184101392 cubic inches would be around 43077 feet tall.

Recreational maths with 138127867184101392

• 138127867184101392 backwards is 293101481768721831
• 138127867184101392 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138127867184101392's digits is 72
• More coming soon!