71948113139136
71,948,113,139,136 is an even composite number composed of seven prime numbers multiplied together.
71948113139136 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 71948113139136:
26 × 3 × 13 × 31 × 61 × 1861 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 61 × 1861 × 8191)See below for interesting mathematical facts about the number 71948113139136 from the Numbermatics database.
Names of 71948113139136
- Cardinal: 71948113139136 can be written as Seventy-one trillion, nine hundred forty-eight billion, one hundred thirteen million, one hundred thirty-nine thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 7.1948113139136 × 1013
Factors of 71948113139136
Divisors of 71948113139136
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 61 62 64 78 93 96 104 122 124 156 183 186 192 208 244 248 312 366 372 403 416 488 496 624 732 744 793 806 832 976 992 1209 1248 1464 1488 1586 1612 1861 1891 1952 1984 2379 2418 2496 2928 2976 3172 3224 3722 3782 3904 4758 4836 5583 5673 5856 5952 6344 6448 7444 7564 8191 9516 9672 11166 11346 11712 12688 12896 14888 15128 16382 19032 19344 22332 22692 24193 24573 24583 25376 25792 29776 30256 32764 38064 38688 44664 45384 48386 49146 49166 50752 57691 59552 60512 65528 72579 73749 76128 77376 89328 90768 96772 98292 98332 106483 113521 115382 119104 121024 131056 145158 147498 152256 173073 178656 181536 193544 196584 196664 212966 227042 230764 253921 262112 290316 294996 319449 340563 346146 357312 363072 387088 393168 393328 425932 454084 461528 499651 507842 524224 580632 589992 638898 681126 692292 749983 761763 774176 786336 786656 851864 908168 923056 999302 1015684 1161264 1179984 1277796 1362252 1384584 1475773 1498953 1499966 1523526 1548352 1572672 1573312 1703728 1816336 1846112 1998604 2031368 2249949 2322528 2359968 2555592 2724504 2769168 2951546 2997906 2999932 3047052 3300973 3407456 3519151 3632672 3692224 3997208 4062736 4427319 4499898 4645056 4719936 5111184 5449008 5538336 5903092 5995812 5999864 6094104 6495463 6601946 6814912 7038302 7265344 7994416 8125472 8854638 8999796 9902919 10222368 10557453 10898016 11076672 11806184 11991624 11999728 12188208 12990926 13203892 14076604 15243451 15489181 15988832 16250944 17709276 17999592 19486389 19805838 20444736 21114906 21796032 23612368 23983248 23999456 24376416 25981852 26407784 28153208 30486902 30978362 31977664 35418552 35999184 38972778 39611676 42229812 45730353 45748963 46467543 47224736 47966496 47998912 48752832 51963704 52815568 56306416 60973804 61956724 70837104 71998368 77945556 79223352 84459624 91460706 91497926 92935086 94449472 95932992 103927408 105631136 112612832 121947608 123913448 137246889 141674208 143996736 155891112 158446704 168919248 182921412 182995852 185870172 198164863 201359353 207854816 211262272 225225664 243895216 247826896 274493778 283348416 311782224 316893408 337838496 365842824 365991704 371740344 396329726 402718706 415709632 472546981 487790432 495653792 548987556 594494589 604078059 623564448 633786816 675676992 731685648 731983408 743480688 792659452 805437412 929850511 945093962 975580864 991307584 1097975112 1188989178 1208156118 1247128896 1417640943 1463371296 1463966816 1486961376 1585318904 1610874824 1859701022 1890187924 2195950224 2377978356 2416312236 2789551533 2835281886 2926742592 2927933632 2973922752 3170637808 3221749648 3719402044 3780375848 4391900448 4755956712 4832624472 5579103066 5670563772 6143110753 6341275616 6443499296 7438804088 7560751696 8783800896 9511913424 9665248944 11158206132 11341127544 12088056643 12286221506 12682551232 12886998592 14877608176 15121503392 18429332259 19023826848 19330497888 22316412264 22682255088 24176113286 24572443012 28825365841 29755216352 30243006784 36264169929 36858664518 38047653696 38660995776 44632824528 45364510176 48352226572 49144886024 57650731682 59510432704 72528339858 73717329036 86476097523 89265649056 90729020352 96704453144 98289772048 115301463364 145056679716 147434658072 172952195046 178531298112 193408906288 196579544096 230602926728 290113359432 294869316144 345904390092 374729755933 386817812576 393159088192 461205853456 580226718864 589738632288 691808780184 749459511866 773635625152 922411706912 1124189267799 1160453437728 1179477264576 1383617560368 1498919023732 1844823413824 2248378535598 2320906875456 2767235120736 2997838047464 4496757071196 5534470241472 5995676094928 8993514142392 11991352189856 17987028284784 23982704379712 35974056569568 71948113139136
- Sum of all divisors σ(n): 215230114168832
- Sum of proper divisors (its aliquot sum) s(n): 143282001029696
- 71948113139136 is an abundant number, because the sum of its proper divisors (143282001029696) is greater than itself. Its abundance is 71333887890560
Bases of 71948113139136
- Binary: 100000101101111101110011011100111010101110000002
- Hexadecimal: 0x416FB9B9D5C0
- Base-36: PI4I8X1HC
Squares and roots of 71948113139136
- 71948113139136 squared (719481131391362) is 5176530984281914320094826496
- 71948113139136 cubed (719481131391363) is 372441636925358210387549178290315827347456
-
The
square root of 71948113139136 is 8482223.3606016295 -
The
cube root of 71948113139136 is 41591.6806317161
Scales and comparisons
How big is 71948113139136?- 71,948,113,139,136 seconds is equal to 2,287,727 years, 23 weeks, 1 day, 23 hours, 5 minutes, 36 seconds.
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To count from 1 to 71,948,113,139,136 would take you about five million, seven hundred nineteen thousand, three hundred eighteen 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 71948113139136 cubic inches would be around 3466 feet tall.
Recreational maths with 71948113139136
- 71948113139136 backwards is 63193131184917
- The number of decimal digits it has is: 14
- The sum of 71948113139136's digits is 57
- More coming soon!
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