138142104720
138,142,104,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138142104720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
138142104720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138142104720:
24 × 3 × 5 × 17 × 89 × 557 × 683
(2 × 2 × 2 × 2 × 3 × 5 × 17 × 89 × 557 × 683)See below for interesting mathematical facts about the number 138142104720 from the Numbermatics database.
Names of 138142104720
- Cardinal: 138142104720 can be written as One hundred thirty-eight billion, one hundred forty-two million, one hundred four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3814210472 × 1011
Factors of 138142104720
Divisors of 138142104720
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 89 102 120 136 170 178 204 240 255 267 272 340 356 408 445 510 534 557 680 683 712 816 890 1020 1068 1114 1335 1360 1366 1424 1513 1671 1780 2040 2049 2136 2228 2670 2732 2785 3026 3342 3415 3560 4080 4098 4272 4456 4539 5340 5464 5570 6052 6684 6830 7120 7565 8196 8355 8912 9078 9469 10245 10680 10928 11140 11611 12104 13368 13660 15130 16392 16710 18156 18938 20490 21360 22280 22695 23222 24208 26736 27320 28407 30260 32784 33420 34833 36312 37876 40980 44560 45390 46444 47345 49573 54640 56814 58055 60520 60787 66840 69666 72624 75752 81960 90780 92888 94690 99146 113628 116110 121040 121574 133680 139332 142035 148719 151504 163920 174165 181560 182361 185776 189380 198292 227256 232220 243148 247865 278664 284070 297438 303935 348330 363120 364722 378760 380431 396584 454512 464440 486296 495730 557328 568140 594876 607870 696660 729444 743595 757520 760862 793168 842741 911805 928880 972592 991460 1033379 1136280 1141293 1189752 1215740 1393320 1458888 1487190 1521724 1685482 1823610 1902155 1982920 2066758 2272560 2282586 2379504 2431480 2528223 2786640 2917776 2974380 3043448 3100137 3370964 3647220 3804310 3965840 4133516 4213705 4565172 4862960 5056446 5166895 5706465 5948760 6086896 6200274 6467327 6741928 7294440 7608620 8267032 8427410 9130344 10112892 10333790 11412930 11897520 12400548 12641115 12934654 13483856 14588880 15217240 15500685 16534064 16854820 18260688 19401981 20225784 20667580 22825860 24801096 25282230 25869308 30434480 31001370 32336635 33709640 33858359 38803962 40451568 41335160 45651720 49602192 50564460 51738616 62002740 64673270 67419280 67716718 77607924 82670320 91303440 97009905 101128920 101575077 103477232 124005480 129346540 135433436 155215848 169291795 194019810 202257840 203150154 248010960 258693080 270866872 310431696 338583590 388039620 406300308 507875385 517386160 541733744 575592103 677167180 776079240 812600616 1015750770 1151184206 1354334360 1552158480 1625201232 1726776309 2031501540 2302368412 2708668720 2877960515 3453552618 4063003080 4604736824 5755921030 6907105236 8126006160 8633881545 9209473648 11511842060 13814210472 17267763090 23023684120 27628420944 34535526180 46047368240 69071052360 138142104720
- Sum of all divisors σ(n): 460021628160
- Sum of proper divisors (its aliquot sum) s(n): 321879523440
- 138142104720 is an abundant number, because the sum of its proper divisors (321879523440) is greater than itself. Its abundance is 183737418720
Bases of 138142104720
- Binary: 100000001010011110100100111100100100002
- Hexadecimal: 0x2029E93C90
- Base-36: 1RGM8Q6O
Squares and roots of 138142104720
- 138142104720 squared (1381421047202) is 19083241096471446278400
- 138142104720 cubed (1381421047203) is 2636199089945766154280587074048000
-
The
square root of 138142104720 is 371674.7297301769 -
The
cube root of 138142104720 is 5169.4224297327
Scales and comparisons
How big is 138142104720?- 138,142,104,720 seconds is equal to 4,392 years, 25 weeks, 3 days, 22 hours, 52 minutes.
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To count from 1 to 138,142,104,720 would take you about eight thousand, seven hundred eighty-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 138142104720 cubic inches would be around 430.8 feet tall.
Recreational maths with 138142104720
- 138142104720 backwards is 027401241831
- The number of decimal digits it has is: 12
- The sum of 138142104720's digits is 33
- More coming soon!
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