31148915128128

Names of 31148915128128

• Cardinal: 31148915128128 can be written as Thirty-one trillion, one hundred forty-eight billion, nine hundred fifteen million, one hundred twenty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.1148915128128 × 10¹³

Factors of 31148915128128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2542

Divisors of 31148915128128

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 53 54 56 63 64 68 72 84 96 98 102 106 108 112 119 126 136 144 147 153 159 168 179 189 192 196 204 212 216 224 238 252 272 288 294 306 318 336 357 358 371 378 392 408 424 432 441 448 459 476 477 504 537 544 576 588 612 636 672 714 716 742 756 784 816 833 848 864 882 901 918 952 954 1008 1071 1074 1088 1113 1176 1224 1253 1272 1323 1344 1428 1431 1432 1484 1512 1568 1611 1632 1666 1696 1728 1764 1802 1836 1904 1908 2016 2142 2148 2226 2281 2352 2448 2499 2506 2544 2597 2646 2703 2856 2862 2864 2968 3024 3043 3136 3213 3222 3264 3332 3339 3392 3528 3604 3672 3759 3808 3816 4032 4284 4296 4452 4562 4704 4833 4896 4998 5012 5088 5194 5292 5406 5712 5724 5728 5936 6048 6086 6307 6426 6444 6664 6678 6843 7056 7208 7344 7497 7518 7616 7632 7791 8109 8568 8592 8771 8904 9124 9129 9408 9487 9666 9792 9996 10017 10024 10176 10388 10584 10812 11277 11424 11448 11456 11872 12096 12172 12614 12852 12888 13328 13356 13686 14112 14416 14688 14994 15036 15264 15582 15967 16218 17136 17184 17542 17808 18248 18258 18921 18974 19332 19992 20034 20048 20529 20776 21168 21301 21624 22491 22554 22848 22896 23373 23744 24327 24344 25228 25704 25776 26313 26656 26712 27372 27387 28224 28461 28832 29376 29988 30072 30528 31164 31934 32436 33831 34272 34368 35084 35616 36496 36516 37842 37948 38664 38777 39984 40068 40096 41058 41552 42336 42602 43248 44149 44982 45108 45792 46746 47901 48654 48688 50456 51408 51552 52626 53312 53424 54744 54774 56763 56922 57664 59976 60144 61587 62328 63868 63903 64872 66409 67662 68544 70119 70168 71232 72992 73032 75684 75896 77328 77554 78939 79968 80136 80192 82116 82161 83104 84672 85204 85383 86496 88298 89964 90216 91584 93492 95802 97308 97376 100912 102816 103104 105252 106848 109488 109548 111769 113526 113844 116331 119952 120288 120893 123174 124656 127736 127806 129744 132447 132818 135324 140238 140336 143703 145984 146064 149107 151368 151792 154656 155108 157878 159936 160272 161279 164232 164322 166208 170289 170408 170766 172992 176596 179928 180432 186984 191604 191709 194616 194752 199227 201824 205632 210504 213696 218976 219096 223538 227052 227688 232662 236817 239904 240576 241786 246348 249312 255472 255612 256149 259488 264894 265636 270648 271439 280476 280672 287406 292128 298214 302736 303584 309312 310216 315756 320544 322558 328464 328644 335307 340578 340816 341532 348993 353192 359856 360864 362679 373968 383208 383418 389232 397341 398454 403648 408299 421008 431109 437952 438192 447076 447321 454104 455376 464863 465324 473634 479808 483572 483837 492696 498624 510944 511224 512298 518976 529788 531272 541296 542878 560952 561344 574812 575127 584256 596428 597681 605472 607168 620432 631512 641088 645116 656928 657288 670614 681156 681632 683064 697986 706384 719712 721728 725358 747936 766416 766836 778464 794682 796908 814317 816598 842016 846251 862218 876384 894152 894642 908208 910752 929726 930648 947268 967144 967674 985392 1005921 1021888 1022448 1024596 1046979 1059576 1062544 1082592 1085756 1088037 1121904 1128953 1149624 1150254 1192023 1192856 1195362 1210944 1224897 1240864 1263024 1290232 1313856 1314576 1341228 1341963 1362312 1363264 1366128 1394589 1395972 1412768 1439424 1450716 1451511 1495872 1532832 1533672 1556928 1589364 1593816 1628634 1633196 1684032 1692502 1724436 1752768 1788304 1789284 1793043 1816416 1821504 1859452 1861296 1894536 1900073 1934288 1935348 1970784 2011842 2044896 2049192 2055181 2093958 2119152 2125088 2165184 2171512 2176074 2243808 2257906 2299248 2300508 2384046 2385712 2390724 2442951 2449794 2481728 2526048 2538753 2580464 2629152 2682456 2683926 2724624 2732256 2789178 2791944 2825536 2858093 2901432 2903022 3017763 3065664 3067344 3178728 3187632 3257268 3264111 3266392 3385004 3386859 3448872 3576608 3578568 3586086 3632832 3674691 3718904 3722592 3789072 3800146 3868576 3870696 3941568 4023684 4025889 4089792 4098384 4110362 4183767 4187916 4238304 4250176 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43504071408 43625931552 46352552274 48976281648 50896920144 52974345456 54077977653 57259035162 58005428544 61803403032 65301708864 65438897328 67862560192 69528828411 70632460608 72103970204 73464422472 76345380216 79461518184 82404537376 83959339968 87008142816 87251863104 92705104548 97952563296 101793840288 105948690912 108155955306 114518070324 123606806064 130877794656 139057656822 144207940408 146928844944 152690760432 158923036368 162233932959 164809074752 174016285632 185410209096 195905126592 203587680576 211897381824 216311910612 229036140648 247213612128 261755589312 278115313644 288415880816 293857689888 305381520864 317846072736 324467865918 370820418192 432623821224 458072281296 486701798877 494427224256 556230627288 576831761632 587715379776 610763041728 635692145472 648935731836 741640836384 865247642448 916144562592 973403597754 1112461254576 1153663523264 1297871463672 1483281672768 1730495284896 1832289125184 1946807195508 2224922509152 2595742927344 3460990569792 3893614391016 4449845018304 5191485854688 7787228782032 10382971709376 15574457564064 31148915128128
• Sum of all divisors σ(n): 115609354963200
• Sum of proper divisors (its aliquot sum) s(n): 84460439835072
• 31148915128128 is an abundant number, because the sum of its proper divisors (84460439835072) is greater than itself. Its abundance is 53311524706944

Bases of 31148915128128

• Binary: 111000101010001101100000001010111011101000000₂
• Hexadecimal: 0x1C546C057740
• Base-36: B1HM3TQO0

Squares and roots of 31148915128128

• 31148915128128 squared (31148915128128²) is 970254913659321378656784384
• 31148915128128 cubed (31148915128128³) is 30222387958223362158804520555079829553152
• The square root of 31148915128128 is 5581121.3145861649
• The cube root of 31148915128128 is 31464.0271730895

Scales and comparisons

• 31,148,915,128,128 seconds is equal to 990,439 years, 7 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 31,148,915,128,128 would take you about two million, four hundred seventy-six thousand and ninety-seven 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 31148915128128 cubic inches would be around 2622 feet tall.

Recreational maths with 31148915128128

• 31148915128128 backwards is 82182151984113
• 31148915128128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31148915128128's digits is 54
• More coming soon!