138306085632
138,306,085,632 is an even composite number composed of six prime numbers multiplied together.
138306085632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138306085632:
28 × 33 × 11 × 13 × 17 × 8231
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 8231)See below for interesting mathematical facts about the number 138306085632 from the Numbermatics database.
Names of 138306085632
- Cardinal: 138306085632 can be written as One hundred thirty-eight billion, three hundred six million, eighty-five thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.38306085632 × 1011
Factors of 138306085632
Divisors of 138306085632
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 64 66 68 72 78 88 96 99 102 104 108 117 128 132 136 143 144 153 156 176 187 192 198 204 208 216 221 234 256 264 272 286 288 297 306 312 351 352 374 384 396 408 416 429 432 442 459 468 528 544 561 572 576 594 612 624 663 702 704 748 768 792 816 832 858 864 884 918 936 1056 1088 1122 1144 1152 1188 1224 1248 1287 1326 1404 1408 1496 1584 1632 1664 1683 1716 1728 1768 1836 1872 1989 2112 2176 2244 2288 2304 2376 2431 2448 2496 2574 2652 2808 2816 2992 3168 3264 3328 3366 3432 3456 3536 3672 3744 3861 3978 4224 4352 4488 4576 4752 4862 4896 4992 5049 5148 5304 5616 5967 5984 6336 6528 6732 6864 6912 7072 7293 7344 7488 7722 7956 8231 8448 8976 9152 9504 9724 9792 9984 10098 10296 10608 11232 11934 11968 12672 13056 13464 13728 14144 14586 14688 14976 15444 15912 16462 17952 18304 19008 19448 19584 20196 20592 21216 21879 22464 23868 23936 24693 25344 26928 27456 28288 29172 29376 29952 30888 31824 32924 35904 36608 38016 38896 39168 40392 41184 42432 43758 44928 47736 47872 49386 53856 54912 56576 58344 58752 61776 63648 65637 65848 71808 74079 76032 77792 80784 82368 84864 87516 89856 90541 95472 98772 107003 107712 109824 116688 117504 123552 127296 131274 131696 139927 143616 148158 155584 161568 164736 169728 175032 181082 190944 197544 214006 215424 222237 233376 247104 254592 262548 263392 271623 279854 296316 311168 321009 323136 329472 350064 362164 381888 395088 419781 428012 430848 444474 466752 494208 509184 525096 526784 543246 559708 592632 622336 642018 646272 700128 724328 763776 790176 814869 839562 856024 888948 933504 963027 988416 1050192 1053568 1086492 1119416 1177033 1185264 1259343 1284036 1292544 1400256 1448656 1527552 1539197 1580352 1629738 1679124 1712048 1777896 1819051 1867008 1926054 2100384 2107136 2172984 2238832 2354066 2370528 2444607 2518686 2568072 2800512 2889081 2897312 3078394 3160704 3259476 3358248 3424096 3531099 3555792 3638102 3778029 3852108 4200768 4345968 4477664 4617591 4708132 4741056 4889214 5037372 5136144 5457153 5601024 5778162 5794624 6156788 6321408 6518952 6716496 6848192 7062198 7111584 7276204 7556058 7704216 8401536 8691936 8955328 9235182 9416264 9482112 9778428 10074744 10272288 10593297 10914306 11556324 11589248 12313576 13037904 13432992 13696384 13852773 14124396 14223168 14552408 15112116 15408432 16371459 16803072 17383872 17910656 18470364 18832528 18964224 19556856 20009561 20149488 20544576 21186594 21828612 23112648 23178496 24627152 26075808 26865984 27392768 27705546 28248792 28446336 29104816 30224232 30816864 31779891 32742918 34767744 35821312 36940728 37665056 39113712 40019122 40298976 41089152 41558319 42373188 43657224 46225296 49114377 49254304 52151616 53731968 55411092 56497584 56892672 58209632 60028683 60448464 61633728 63559782 65485836 69535488 73881456 75330112 78227424 80038244 80597952 82178304 83116638 84746376 87314448 92450592 98228754 98508608 104303232 107463936 110822184 112995168 116419264 120057366 120896928 123267456 127119564 130971672 147762912 150660224 156454848 160076488 161195904 166233276 169492752 174628896 180086049 184901184 196457508 197017216 208606464 221644368 225990336 232838528 240114732 241793856 246534912 254239128 261943344 295525824 301320448 312909696 320152976 322391808 332466552 338985504 349257792 360172098 369802368 392915016 394034432 443288736 451980672 465677056 480229464 483587712 508478256 523886688 540258147 591051648 625819392 640305952 664933104 677971008 698515584 720344196 739604736 785830032 886577472 903961344 960458928 967175424 1016956512 1047773376 1080516294 1182103296 1280611904 1329866208 1355942016 1397031168 1440688392 1571660064 1773154944 1920917856 2033913024 2095546752 2161032588 2561223808 2659732416 2711884032 2881376784 3143320128 3546309888 3841835712 4067826048 4191093504 4322065176 5122447616 5319464832 5762753568 6286640256 7683671424 8135652096 8644130352 10638929664 11525507136 12573280512 15367342848 17288260704 23051014272 34576521408 46102028544 69153042816 138306085632
- Sum of all divisors σ(n): 508824529920
- Sum of proper divisors (its aliquot sum) s(n): 370518444288
- 138306085632 is an abundant number, because the sum of its proper divisors (370518444288) is greater than itself. Its abundance is 232212358656
Bases of 138306085632
- Binary: 100000001100111010111101100011000000002
- Hexadecimal: 0x2033AF6300
- Base-36: 1RJBVEO0
Squares and roots of 138306085632
- 138306085632 squared (1383060856322) is 19128573322846116839424
- 138306085632 cubed (1383060856323) is 2645598100007545817552052937555968
-
The
square root of 138306085632 is 371895.2616423071 -
The
cube root of 138306085632 is 5171.4670668191
Scales and comparisons
How big is 138306085632?- 138,306,085,632 seconds is equal to 4,397 years, 36 weeks, 4 days, 21 hours, 7 minutes, 12 seconds.
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To count from 1 to 138,306,085,632 would take you about eight thousand, seven hundred ninety-five 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 138306085632 cubic inches would be around 431 feet tall.
Recreational maths with 138306085632
- 138306085632 backwards is 236580603831
- The number of decimal digits it has is: 12
- The sum of 138306085632's digits is 45
- More coming soon!
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