138198764459180880
138,198,764,459,180,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138198764459180880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
138198764459180880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138198764459180880:
24 × 33 × 5 × 7 × 133 × 353 × 34332
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 13 × 353 × 3433 × 3433)See below for interesting mathematical facts about the number 138198764459180880 from the Numbermatics database.
Names of 138198764459180880
- Cardinal: 138198764459180880 can be written as One hundred thirty-eight quadrillion, one hundred ninety-eight trillion, seven hundred sixty-four billion, four hundred fifty-nine million, one hundred eighty thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3819876445918088 × 1017
Factors of 138198764459180880
Divisors of 138198764459180880
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 84 90 91 104 105 108 112 117 120 126 130 135 140 144 156 168 169 180 182 189 195 208 210 216 234 240 252 260 270 273 280 312 315 336 338 351 353 360 364 378 390 420 432 455 468 504 507 520 540 546 560 585 624 630 676 702 706 720 728 756 780 819 840 845 910 936 945 1008 1014 1040 1059 1080 1092 1170 1183 1260 1352 1365 1404 1412 1456 1512 1521 1560 1638 1680 1690 1755 1765 1820 1872 1890 2028 2118 2160 2184 2197 2340 2366 2457 2471 2520 2535 2704 2730 2808 2824 3024 3042 3120 3177 3276 3380 3433 3510 3530 3549 3640 3780 4056 4095 4236 4368 4394 4563 4589 4680 4732 4914 4942 5040 5070 5295 5460 5616 5648 5915 6084 6354 6552 6591 6760 6866 7020 7060 7098 7280 7413 7560 7605 8112 8190 8472 8788 9126 9178 9360 9464 9531 9828 9884 10140 10299 10590 10647 10920 10985 11830 12168 12285 12355 12708 13104 13182 13520 13732 13767 14040 14120 14196 14826 15120 15210 15379 15885 16380 16944 17165 17576 17745 18252 18356 18928 19062 19656 19768 19773 20280 20598 21180 21294 21840 21970 22239 22815 22945 23660 24031 24336 24570 24710 25416 26364 27464 27534 28080 28240 28392 29652 30420 30758 30897 31770 31941 32123 32760 32955 34330 35152 35490 36504 36712 37065 38124 39312 39536 39546 40560 41196 41301 42360 42588 43940 44478 44629 45630 45890 46137 47320 47655 48062 49140 49420 50832 51495 52728 53235 54928 55068 56784 59304 59319 59657 60840 61516 61794 63540 63882 64246 65520 65910 66717 68660 68835 70980 72093 73008 73424 74130 76248 76895 79092 82392 82602 84720 85176 87880 88956 89258 91260 91780 92274 92691 94640 95310 96124 96369 98280 98840 98865 102990 105456 106470 110136 111195 118608 118638 119314 120155 121680 123032 123588 123903 127080 127764 128492 131820 133434 133887 137320 137670 138411 141960 144186 148260 152496 153790 154485 158184 159705 160615 164784 165204 170352 175760 177912 178516 178971 182520 183560 184548 185382 190620 192248 192738 196560 197680 197730 205980 206505 212940 216279 220272 222390 223145 230685 237276 238628 240310 246064 247176 247806 254160 255528 256984 263640 266868 267774 274640 275340 276822 283920 288372 289107 296520 296595 298285 307580 308970 312403 316368 319410 321230 330408 333585 355824 357032 357942 360465 365040 367120 369096 370764 381240 384496 385476 395460 401661 411960 413010 415233 417599 425880 432558 444780 446290 461370 463455 474552 477256 480620 481845 494352 495612 511056 513968 527280 533736 535548 536913 550680 553644 576744 578214 580177 593040 593190 596570 615160 617940 619515 624806 638820 642460 648837 660816 667170 669435 692055 714064 715884 720930 738192 741528 762480 770952 775541 790920 803322 823920 826020 830466 835198 851760 865116 867321 889560 892580 894855 922740 926910 937209 949104 954512 961240 963690 991224 1067472 1071096 1073826 1081395 1101360 1107288 1153488 1156428 1160354 1186380 1193140 1204983 1211849 1230320 1235880 1239030 1249612 1252797 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3948536127405168 4606625481972696 4935670159256460 5118472757747440 5315337094583880 5758281852465870 6580893545675280 6909938222959044 7677709136621160 8637422778698805 9213250963945392 9871340318512920 10630674189167760 11516563704931740 13819876445918088 15355418273242320 17274845557397610 19742680637025840 23033127409863480 27639752891836176 34549691114795220 46066254819726960 69099382229590440 138198764459180880
- Sum of all divisors σ(n): 591176650722739200
- Sum of proper divisors (its aliquot sum) s(n): 452977886263558320
- 138198764459180880 is an abundant number, because the sum of its proper divisors (452977886263558320) is greater than itself. Its abundance is 314779121804377440
Bases of 138198764459180880
- Binary: 1111010101111101100001011010001111111110011000011010100002
- Hexadecimal: 0x1EAFB0B47FCC350
- Base-36: 11SRDFXOMYC0
Squares and roots of 138198764459180880
- 138198764459180880 squared (1381987644591808802) is 19098898498044156347711720557574400
- 138198764459180880 cubed (1381987644591808803) is 2639444174961007844039107999970026749982703657472000
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The
square root of 138198764459180880 is 371750944.1268184325 -
The
cube root of 138198764459180880 is 517012.9088748153
Scales and comparisons
How big is 138198764459180880?- 138,198,764,459,180,880 seconds is equal to 4,394,293,232 years, 49 weeks, 5 days, 1 hour, 48 minutes.
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To count from 1 to 138,198,764,459,180,880 would take you about thirteen billion, one hundred eighty-two million, eight hundred seventy-nine thousand, six hundred ninety-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 138198764459180880 cubic inches would be around 43084.4 feet tall.
Recreational maths with 138198764459180880
- 138198764459180880 backwards is 088081954467891831
- 138198764459180880 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138198764459180880's digits is 90
- More coming soon!
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The information we have on file for 138198764459180880 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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