138465901901000
138,465,901,901,000 is an even composite number composed of five prime numbers multiplied together.
138465901901000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138465901901000:
23 × 53 × 17 × 373 × 4012
(2 × 2 × 2 × 5 × 5 × 5 × 17 × 37 × 37 × 37 × 401 × 401)See below for interesting mathematical facts about the number 138465901901000 from the Numbermatics database.
Names of 138465901901000
- Cardinal: 138465901901000 can be written as One hundred thirty-eight trillion, four hundred sixty-five billion, nine hundred one million, nine hundred one thousand.
Scientific notation
- Scientific notation: 1.38465901901 × 1014
Factors of 138465901901000
Divisors of 138465901901000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 17 20 25 34 37 40 50 68 74 85 100 125 136 148 170 185 200 250 296 340 370 401 425 500 629 680 740 802 850 925 1000 1258 1369 1480 1604 1700 1850 2005 2125 2516 2738 3145 3208 3400 3700 4010 4250 4625 5032 5476 6290 6817 6845 7400 8020 8500 9250 10025 10952 12580 13634 13690 14837 15725 16040 17000 18500 20050 23273 25160 27268 27380 29674 31450 34085 34225 37000 40100 46546 50125 50653 54536 54760 59348 62900 68170 68450 74185 78625 80200 93092 100250 101306 116365 118696 125800 136340 136900 148370 157250 160801 170425 171125 186184 200500 202612 232730 252229 253265 272680 273800 296740 314500 321602 340850 342250 370925 401000 405224 465460 504458 506530 548969 581825 593480 629000 643204 681700 684500 741850 804005 852125 861101 930920 1008916 1013060 1097938 1163650 1261145 1266325 1286408 1363400 1369000 1483700 1608010 1704250 1722202 1854625 2017832 2026120 2195876 2327300 2522290 2532650 2733617 2744845 2909125 2967400 3216020 3408500 3444404 3709250 4020025 4305505 4391752 4654600 5044580 5065300 5467234 5489690 5818250 5949637 6305725 6331625 6432040 6817000 6888808 7418500 8040050 8611010 9332473 10089160 10130600 10934468 10979380 11636500 11899274 12611450 12663250 13668085 13724225 14837000 16080100 17222020 18664946 20100125 20311853 21527525 21868936 21958760 23273000 23798548 25222900 25326500 27336170 27448450 29748185 31528625 32160200 34444040 37329892 40200250 40623706 43055050 46662365 47597096 50445800 50653000 54672340 54896900 59496370 63057250 68340425 68621125 74659784 80400500 81247412 86110100 93324730 101143829 101559265 107637625 109344680 109793800 118992740 126114500 136680850 137242250 148740925 160801000 162494824 172220200 186649460 202287658 203118530 215275250 220136569 233311825 237985480 252229000 273361700 274484500 297481850 341702125 345301501 373298920 404575316 406237060 430550500 440273138 466623650 505719145 507796325 546723400 548969000 594963700 683404250 690603002 743704625 809150632 812474120 861101000 880546276 933247300 1011438290 1015592650 1100682845 1166559125 1189927400 1366808500 1381206004 1487409250 1726507505 1761092552 1866494600 2022876580 2031185300 2201365690 2333118250 2528595725 2538981625 2733617000 2762412008 2974818500 3453015010 3742321673 4045753160 4062370600 4402731380 4666236500 5057191450 5077963250 5503414225 5949637000 6906030020 7484643346 8145053053 8632537525 8805462760 9332473000 10114382900 10155926500 11006828450 12642978625 13812060040 14969286692 16290106106 17265075050 18711608365 20228765800 20311853000 22013656900 25285957250 27517071125 29938573384 32580212212 34530150100 37423216730 40725265265 43162687625 44027313800 50571914500 55034142250 65160424424 69060300200 74846433460 81450530530 86325375250 93558041825 101143829000 110068284500 138465901901 149692866920 162901061060 172650750500 187116083650 203626326325 220136569000 276931803802 325802122120 345301501000 374232167300 407252652650 467790209125 553863607604 692329509505 748464334600 814505305300 935580418250 1018131631625 1107727215208 1384659019010 1629010610600 1871160836500 2036263263250 2769318038020 3461647547525 3742321673000 4072526526500 5538636076040 6923295095050 8145053053000 13846590190100 17308237737625 27693180380200 34616475475250 69232950950500 138465901901000
- Sum of all divisors σ(n): 353480650941600
- Sum of proper divisors (its aliquot sum) s(n): 215014749040600
- 138465901901000 is an abundant number, because the sum of its proper divisors (215014749040600) is greater than itself. Its abundance is 76548847139600
Bases of 138465901901000
- Binary: 111110111101111000110101110010101110100110010002
- Hexadecimal: 0x7DEF1AE574C8
- Base-36: 1D2YCUWP1K
Squares and roots of 138465901901000
- 138465901901000 squared (1384659019010002) is 19172805989257355413801000000
- 138465901901000 cubed (1384659019010003) is 2654779873275414234570060527535701000000000
-
The
square root of 138465901901000 is 11767153.5173549937 -
The
cube root of 138465901901000 is 51734.5822151255
Scales and comparisons
How big is 138465901901000?- 138,465,901,901,000 seconds is equal to 4,402,787 years, 19 weeks, 4 days, 8 hours, 3 minutes, 20 seconds.
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To count from 1 to 138,465,901,901,000 would take you about eleven million, six thousand, nine hundred sixty-eight 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 138465901901000 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138465901901000
- 138465901901000 backwards is 000109109564831
- The number of decimal digits it has is: 15
- The sum of 138465901901000's digits is 47
- More coming soon!
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