138406583646528
138,406,583,646,528 is an even composite number composed of six prime numbers multiplied together.
138406583646528 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138406583646528:
26 × 3 × 61 × 127 × 757 × 122921
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 61 × 127 × 757 × 122921)See below for interesting mathematical facts about the number 138406583646528 from the Numbermatics database.
Names of 138406583646528
- Cardinal: 138406583646528 can be written as One hundred thirty-eight trillion, four hundred six billion, five hundred eighty-three million, six hundred forty-six thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38406583646528 × 1014
Factors of 138406583646528
Divisors of 138406583646528
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 127 183 192 244 254 366 381 488 508 732 757 762 976 1016 1464 1514 1524 1952 2032 2271 2928 3028 3048 3904 4064 4542 5856 6056 6096 7747 8128 9084 11712 12112 12192 15494 18168 23241 24224 24384 30988 36336 46177 46482 48448 61976 72672 92354 92964 96139 122921 123952 138531 145344 184708 185928 192278 245842 247904 277062 288417 368763 369416 371856 384556 491684 495808 554124 576834 737526 738832 743712 769112 983368 1108248 1153668 1475052 1477664 1487424 1538224 1966736 2216496 2307336 2950104 2955328 3076448 3933472 4432992 4614672 5864479 5900208 6152896 7498181 7866944 8865984 9229344 11728958 11800416 14996362 15610967 17593437 18458688 22494543 23457916 23600832 29992724 31221934 35186874 44989086 46832901 46915832 59985448 62443868 70373748 89978172 93051197 93665802 93831664 119970896 124887736 140747496 179956344 186102394 187331604 187663328 239941792 249775472 279153591 281494992 359912688 372204788 374663208 375326656 479883584 499550944 558307182 562989984 719825376 744409576 749326416 952268987 999101888 1116614364 1125979968 1439650752 1488819152 1498652832 1904537974 2233228728 2856806961 2977638304 2997305664 3809075948 4466457456 5676123017 5713613922 5955276608 7618151896 8932914912 11352246034 11427227844 11817502019 15236303792 17028369051 17865829824 22704492068 22854455688 23635004038 30472607584 34056738102 35452506057 45408984136 45708911376 47270008076 60945215168 68113476204 70905012114 90817968272 91417822752 94540016152 136226952408 141810024228 181635936544 182835645504 189080032304 272453904816 283620048456 363271873088 378160064608 544907809632 567240096912 720867623159 756320129216 1089815619264 1134480193824 1441735246318 2162602869477 2268960387648 2883470492636 4325205738954 5766940985272 8650411477908 11533881970544 17300822955816 23067763941088 34601645911632 46135527882176 69203291823264 138406583646528
- Sum of all divisors σ(n): 375633394495488
- Sum of proper divisors (its aliquot sum) s(n): 237226810848960
- 138406583646528 is an abundant number, because the sum of its proper divisors (237226810848960) is greater than itself. Its abundance is 98820227202432
Bases of 138406583646528
- Binary: 111110111100001010010110100000010111001010000002
- Hexadecimal: 0x7DE14B40B940
- Base-36: 1D273UCMYO
Squares and roots of 138406583646528
- 138406583646528 squared (1384065836465282) is 19156382396703352005646454784
- 138406583646528 cubed (1384065836465283) is 2651369442554199013923547278224034190589952
-
The
square root of 138406583646528 is 11764632.7459265807 -
The
cube root of 138406583646528 is 51727.1935285813
Scales and comparisons
How big is 138406583646528?- 138,406,583,646,528 seconds is equal to 4,400,901 years, 12 weeks, 3 days, 11 hours, 8 minutes, 48 seconds.
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To count from 1 to 138,406,583,646,528 would take you about eleven million, two thousand, two hundred fifty-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 138406583646528 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138406583646528
- 138406583646528 backwards is 825646385604831
- The number of decimal digits it has is: 15
- The sum of 138406583646528's digits is 69
- More coming soon!
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