148339389817008
148,339,389,817,008 is an even composite number composed of six prime numbers multiplied together.
What does the number 148339389817008 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
148339389817008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 148339389817008:
24 × 310 × 13 × 172 × 232 × 79
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 17 × 23 × 23 × 79)See below for interesting mathematical facts about the number 148339389817008 from the Numbermatics database.
Names of 148339389817008
- Cardinal: 148339389817008 can be written as One hundred forty-eight trillion, three hundred thirty-nine billion, three hundred eighty-nine million, eight hundred seventeen thousand and eight.
Scientific notation
- Scientific notation: 1.48339389817008 × 1014
Factors of 148339389817008
Divisors of 148339389817008
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 23 24 26 27 34 36 39 46 48 51 52 54 68 69 72 78 79 81 92 102 104 108 117 136 138 144 153 156 158 162 184 204 207 208 216 221 234 237 243 272 276 289 299 306 312 316 324 351 368 391 408 414 432 442 459 468 474 486 529 552 578 598 612 621 624 632 648 663 702 711 729 782 816 828 867 884 897 918 936 948 972 1027 1053 1058 1104 1156 1173 1196 1224 1242 1264 1296 1326 1343 1377 1404 1422 1458 1564 1587 1656 1734 1768 1794 1817 1836 1863 1872 1896 1944 1989 2054 2106 2116 2133 2187 2312 2346 2392 2448 2484 2601 2652 2686 2691 2754 2808 2844 2916 3081 3128 3159 3174 3312 3468 3519 3536 3588 3634 3672 3726 3757 3792 3888 3978 4029 4108 4131 4212 4232 4266 4374 4624 4692 4761 4784 4968 5083 5202 5304 5372 5382 5451 5508 5589 5616 5688 5832 5967 6162 6256 6318 6348 6399 6561 6647 6877 6936 7038 7176 7268 7344 7452 7514 7803 7956 8058 8073 8216 8262 8424 8464 8532 8748 8993 9243 9384 9477 9522 9936 10166 10404 10557 10608 10744 10764 10902 11016 11178 11271 11376 11664 11934 12087 12324 12393 12636 12696 12798 13122 13294 13754 13872 14076 14283 14352 14536 14904 15028 15249 15606 15912 16116 16146 16353 16432 16524 16767 16848 17064 17459 17496 17901 17986 18486 18768 18954 19044 19197 19683 19941 20332 20631 20808 21114 21488 21528 21804 22032 22356 22542 22831 23409 23621 23868 24174 24219 24648 24786 25272 25392 25596 26244 26588 26979 27508 27729 28152 28431 28566 29072 29808 30056 30498 30889 31212 31671 31824 32232 32292 32706 33048 33534 33813 34128 34918 34992 35802 35972 36261 36972 37179 37908 38088 38394 39366 39882 40664 41262 41616 41791 42228 42849 43056 43608 44712 45084 45662 45747 46818 47242 47736 48348 48438 49059 49296 49572 50301 50544 51192 52377 52488 53176 53703 53958 55016 55458 56304 56862 57132 57591 59049 59823 60112 60996 61778 61893 62424 63342 64464 64584 65412 66096 67068 67626 68493 69836 70227 70863 71604 71944 72522 72657 73944 74358 75816 76176 76788 78732 79764 80937 81328 82524 83187 83582 84456 85293 85698 86411 87216 89424 90168 91324 91494 92667 93636 94484 95013 95472 96696 96876 98118 99144 100602 101439 102384 104754 104976 106352 107406 107916 108783 110032 110916 111537 113724 114264 115182 116909 118098 119646 121992 123556 123786 124848 125373 126684 128547 129168 130824 134136 135252 136986 137241 139672 140454 141726 143208 143888 145044 145314 147177 147888 148716 150903 151632 152881 153576 157131 157464 159528 161109 161874 165048 166374 167164 168912 170586 171396 172773 172822 179469 180336 182648 182988 185334 185679 187272 188968 190026 193392 193752 196236 198288 201204 202878 205479 209508 210681 212589 214812 215832 217566 217971 221832 223074 227448 228528 230364 233818 236196 239292 242811 243984 247112 247572 249561 250746 253368 255879 257094 259233 261648 268272 270504 273972 274482 278001 279344 280908 283452 285039 286416 290088 290628 294354 296803 297432 301806 304317 305762 307152 314262 314928 319056 322218 323748 326349 330096 332748 334328 334611 341172 342792 345546 345644 350727 358938 365296 365976 370668 371358 374544 376119 377936 380052 385641 387504 392472 401557 402408 405756 410958 411723 419016 421362 425178 429624 431664 435132 435942 441531 443664 446148 452709 454896 458643 460728 467636 471393 472392 478584 483327 485622 494224 495144 499122 501492 506736 511758 514188 518319 518466 525113 538407 541008 543283 547944 548964 556002 557037 561816 566904 570078 580176 581256 588708 593606 594864 603612 608634 611524 616437 628524 632043 637767 644436 647496 652698 653913 665496 668656 669222 682344 685584 691092 691288 701454 710447 717876 728433 731952 741336 742716 748683 752238 760104 767637 771282 777699 784944 803114 804816 811512 821916 823446 834003 838032 842724 850356 855117 859248 870264 871884 883062 890409 892296 905418 912951 917286 921456 935272 942786 944784 957168 966654 971244 979047 990288 998244 1002984 1003833 1023516 1028376 1036638 1036932 1050226 1052181 1076814 1086566 1095888 1097928 1112004 1114074 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49446463272336 74169694908504 148339389817008
- Sum of all divisors σ(n): 522089041905760
- Sum of proper divisors (its aliquot sum) s(n): 373749652088752
- 148339389817008 is an abundant number, because the sum of its proper divisors (373749652088752) is greater than itself. Its abundance is 225410262271744
Bases of 148339389817008
- Binary: 1000011011101001111101001010001011100000101100002
- Hexadecimal: 0x86E9F4A2E0B0
- Base-36: 1GKY6AOR00
Squares and roots of 148339389817008
- 148339389817008 squared (1483393898170082) is 22004574571282256723726072064
- 148339389817008 cubed (1483393898170083) is 3264145165086860370272841334681719580864512
-
The
square root of 148339389817008 is 12179465.9085285017 -
The
cube root of 148339389817008 is 52936.1269008807
Scales and comparisons
How big is 148339389817008?- 148,339,389,817,008 seconds is equal to 4,716,733 years, 39 weeks, 20 hours, 16 minutes, 48 seconds.
-
To count from 1 to 148,339,389,817,008 would take you about eleven million, seven hundred ninety-one thousand, eight hundred thirty-four 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 148339389817008 cubic inches would be around 4411.3 feet tall.
Recreational maths with 148339389817008
- 148339389817008 backwards is 800718983933841
- 148339389817008 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 148339389817008's digits is 72
- More coming soon!
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MLA style:
"Number 148339389817008 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 148339389817008 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/148339389817008/
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Numbermatics. 2024. "Number 148339389817008 - Facts about the integer". https://numbermatics.com/n/148339389817008/
The information we have on file for 148339389817008 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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