138198911648
138,198,911,648 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138198911648 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138198911648 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138198911648:
25 × 72 × 17 × 29 × 31 × 73 × 79
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 29 × 31 × 73 × 79)See below for interesting mathematical facts about the number 138198911648 from the Numbermatics database.
Names of 138198911648
- Cardinal: 138198911648 can be written as One hundred thirty-eight billion, one hundred ninety-eight million, nine hundred eleven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38198911648 × 1011
Factors of 138198911648
Divisors of 138198911648
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 31 32 34 49 56 58 62 68 73 79 98 112 116 119 124 136 146 158 196 203 217 224 232 238 248 272 292 316 392 406 434 464 476 493 496 511 527 544 553 584 632 784 812 833 868 899 928 952 986 992 1022 1054 1106 1168 1241 1264 1343 1421 1519 1568 1624 1666 1736 1798 1904 1972 2044 2108 2117 2212 2263 2291 2336 2449 2482 2528 2686 2842 3038 3248 3332 3451 3472 3577 3596 3689 3808 3871 3944 4088 4216 4234 4424 4526 4582 4898 4964 5372 5684 5767 6076 6293 6496 6664 6902 6944 7154 7192 7378 7742 7888 8176 8432 8468 8687 8848 9052 9164 9401 9796 9928 10744 11368 11534 12152 12586 13328 13804 14308 14384 14756 14819 15283 15484 15776 15841 16037 16352 16864 16936 17143 17374 17696 18104 18328 18802 19592 19856 21488 22736 23068 24157 24304 25172 25823 26656 27608 28616 28768 29512 29638 30566 30968 31682 32074 33872 34286 34748 35989 36208 36656 37604 38471 38947 39184 39712 40369 41633 42976 44051 45472 46136 48314 48608 50344 51646 55216 57232 59024 59276 60809 61132 61936 63364 64148 65627 65807 67744 68572 69496 71021 71978 72416 73312 75208 76942 77894 78368 80738 83266 88102 92272 96628 98039 100688 103292 103733 106981 110432 110887 112259 114464 118048 118552 120001 121618 122264 123872 126728 128296 131254 131614 137144 138992 142042 143956 150416 153884 155788 161476 166532 167243 176204 178777 184544 193256 196078 201376 206584 207466 213962 221774 224518 237104 240002 243236 244528 251923 253456 256592 262508 263228 269297 272629 274288 277984 282583 284084 287912 291431 300832 307768 311576 322952 333064 334486 352408 357554 386512 392156 413168 414932 427924 443548 449036 459389 474208 480004 486472 489056 497147 503846 506912 513184 525016 526456 538594 545258 548576 565166 568168 575824 582862 615536 623152 645904 666128 668972 686273 704816 715108 748867 773024 784312 826336 829864 855848 887096 898072 918778 960008 972944 994294 1007692 1050032 1052912 1077188 1090516 1115659 1130332 1136336 1151648 1165724 1170701 1207357 1231072 1246304 1251439 1291808 1332256 1337944 1372546 1409632 1430216 1497734 1568624 1659728 1711696 1763461 1774192 1796144 1837556 1885079 1908403 1920016 1945888 1988588 2015384 2040017 2100064 2105824 2154376 2181032 2231318 2260664 2272672 2331448 2341402 2414714 2502878 2675888 2745092 2843131 2860432 2995468 3039209 3137248 3215723 3319456 3423392 3480029 3526922 3548384 3592288 3675112 3770158 3816806 3840032 3977176 4030768 4080034 4308752 4362064 4462636 4521328 4662896 4682804 4803911 4829428 5005756 5184533 5351776 5490184 5686262 5720864 5990936 6078418 6431446 6960058 7053844 7350224 7540316 7633612 7809613 7954352 8061536 8160068 8194907 8451499 8617504 8724128 8760073 8925272 9042656 9325792 9365608 9607822 9658856 10011512 10369066 10980368 11372524 11981872 12156836 12862892 13920116 14107688 14700448 15080632 15267224 15619226 15908704 16320136 16389814 16902998 17520146 17850544 18731216 19215644 19317712 19901917 20023024 20738132 21274463 21960736 22745048 23963744 24313672 25725784 27840232 28215376 30161264 30534448 31238452 32640272 32779628 33805996 35040292 35701088 36291731 37462432 38431288 38635424 39803834 40046048 41476264 42548926 45490096 48627344 51451568 54667291 55680464 56430752 59160493 60322528 61068896 62476904 65280544 65559256 67611992 70080584 72583462 76862576 79607668 82952528 85097852 88137061 90980192 97254688 102903136 109334582 111360928 118320986 124953808 131118512 135223984 139313419 140161168 145166924 148921241 153725152 159215336 165905056 170195704 176274122 218669164 236641972 249907616 254042117 262237024 270447968 278626838 280322336 290333848 297842482 318430672 340391408 352548244 437338328 473283944 508084234 557253676 580667696 595684964 616959427 636861344 680782816 705096488 874676656 946567888 1016168468 1114507352 1161335392 1191369928 1233918854 1410192976 1749353312 1893135776 2032336936 2229014704 2382739856 2467837708 2820385952 4064673872 4318715989 4458029408 4765479712 4935675416 8129347744 8637431978 9871350832 17274863956 19742701664 34549727912 69099455824 138198911648
- Sum of all divisors σ(n): 367350681600
- Sum of proper divisors (its aliquot sum) s(n): 229151769952
- 138198911648 is an abundant number, because the sum of its proper divisors (229151769952) is greater than itself. Its abundance is 90952858304
Bases of 138198911648
- Binary: 100000001011010100110000001010101000002
- Hexadecimal: 0x202D4C0AA0
- Base-36: 1RHK2AOW
Squares and roots of 138198911648
- 138198911648 squared (1381989116482) is 19098939180691710075904
- 138198911648 cubed (1381989116483) is 2639452608402939148305888269729792
-
The
square root of 138198911648 is 371751.1420937399 -
The
cube root of 138198911648 is 5170.1309242323
Scales and comparisons
How big is 138198911648?- 138,198,911,648 seconds is equal to 4,394 years, 15 weeks, 3 days, 10 hours, 34 minutes, 8 seconds.
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To count from 1 to 138,198,911,648 would take you about eight thousand, seven hundred eighty-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 138198911648 cubic inches would be around 430.8 feet tall.
Recreational maths with 138198911648
- 138198911648 backwards is 846119891831
- The number of decimal digits it has is: 12
- The sum of 138198911648's digits is 59
- More coming soon!
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The information we have on file for 138198911648 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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