137378784398893056
137,378,784,398,893,056 is an even composite number composed of four prime numbers multiplied together.
What does the number 137378784398893056 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2100 divisors.
137378784398893056 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 137378784398893056:
213 × 39 × 174 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 17 × 17 × 101 × 101)See below for interesting mathematical facts about the number 137378784398893056 from the Numbermatics database.
Names of 137378784398893056
- Cardinal: 137378784398893056 can be written as One hundred thirty-seven quadrillion, three hundred seventy-eight trillion, seven hundred eighty-four billion, three hundred ninety-eight million, eight hundred ninety-three thousand and fifty-six.
Scientific notation
- Scientific notation: 1.37378784398893056 × 1017
Factors of 137378784398893056
Divisors of 137378784398893056
- Number of divisors d(n): 2100
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 101 102 108 128 136 144 153 162 192 202 204 216 243 256 272 288 289 303 306 324 384 404 408 432 459 486 512 544 576 578 606 612 648 729 768 808 816 864 867 909 918 972 1024 1088 1152 1156 1212 1224 1296 1377 1458 1536 1616 1632 1717 1728 1734 1818 1836 1944 2048 2176 2187 2304 2312 2424 2448 2592 2601 2727 2754 2916 3072 3232 3264 3434 3456 3468 3636 3672 3888 4096 4131 4352 4374 4608 4624 4848 4896 4913 5151 5184 5202 5454 5508 5832 6144 6464 6528 6561 6868 6912 6936 7272 7344 7776 7803 8181 8192 8262 8704 8748 9216 9248 9696 9792 9826 10201 10302 10368 10404 10908 11016 11664 12288 12393 12928 13056 13122 13736 13824 13872 14544 14688 14739 15453 15552 15606 16362 16524 17408 17496 18432 18496 19392 19584 19652 19683 20402 20604 20736 20808 21816 22032 23328 23409 24543 24576 24786 25856 26112 26244 27472 27648 27744 29088 29189 29376 29478 30603 30906 31104 31212 32724 33048 34816 34992 36864 36992 37179 38784 39168 39304 39366 40804 41208 41472 41616 43632 44064 44217 46359 46656 46818 49086 49572 51712 52224 52488 54944 55296 55488 58176 58378 58752 58956 61206 61812 62208 62424 65448 66096 69632 69984 70227 73629 73728 73984 74358 77568 78336 78608 78732 81608 82416 82944 83232 83521 87264 87567 88128 88434 91809 92718 93312 93636 98172 99144 103424 104448 104976 109888 110592 110976 111537 116352 116756 117504 117912 122412 123624 124416 124848 130896 132192 132651 139077 139264 139968 140454 147258 147968 148716 155136 156672 157216 157464 163216 164832 165888 166464 167042 173417 174528 175134 176256 176868 183618 185436 186624 187272 196344 198288 206848 208896 209952 210681 219776 220887 221184 221952 223074 232704 233512 235008 235824 244824 247248 248832 249696 250563 261792 262701 264384 265302 275427 278154 279936 280908 294516 295936 297432 310272 313344 314432 314928 326432 329664 331776 332928 334084 334611 346834 349056 350268 352512 353736 367236 370872 373248 374544 392688 396576 397953 413696 417231 417792 419904 421362 439552 441774 443904 446148 465408 467024 470016 471648 489648 494496 496213 497664 499392 501126 520251 523584 525402 528768 530604 550854 556308 559872 561816 589032 591872 594864 620544 626688 628864 629856 632043 652864 659328 662661 663552 665856 668168 669222 693668 698112 700536 705024 707472 734472 741744 746496 749088 751689 785376 788103 793152 795906 826281 827392 834462 839808 842724 879104 883548 887808 892296 930816 934048 940032 943296 979296 988992 992426 995328 998784 1002252 1040502 1047168 1050804 1057536 1061208 1101708 1112616 1119744 1123632 1178064 1183744 1189728 1193859 1241088 1251693 1253376 1257728 1259712 1264086 1305728 1318656 1325322 1331712 1336336 1338444 1387336 1396224 1401072 1410048 1414944 1468944 1483488 1488639 1492992 1498176 1503378 1560753 1570752 1576206 1586304 1591812 1652562 1668924 1679616 1685448 1758208 1767096 1775616 1784592 1861632 1868096 1880064 1886592 1896129 1958592 1977984 1984852 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106002148455936 112237568953344 113348832012288 118839778891776 119252417012928 126267265072512 134158969139544 141336197941248 149650091937792 151131776016384 158453038522368 159003222683904 168356353430016 170023248018432 178878625519392 188448263921664 212004296911872 224475137906688 226697664024576 237679557783552 238504834025856 252534530145024 268317938279088 282672395882496 299300183875584 318006445367808 336712706860032 340046496036864 357757251038784 424008593823744 448950275813376 453395328049152 475359115567104 477009668051712 505069060290048 536635876558176 565344791764992 636012890735616 673425413720064 680092992073728 715514502077568 848017187647488 897900551626752 954019336103424 1010138120580096 1073271753116352 1272025781471232 1346850827440128 1360185984147456 1431029004155136 1696034375294976 1908038672206848 2020276241160192 2146543506232704 2544051562942464 2693701654880256 2862058008310272 3816077344413696 4040552482320384 4293087012465408 5088103125884928 5724116016620544 7632154688827392 8081104964640768 8586174024930816 11448232033241088 15264309377654784 17172348049861632 22896464066482176 34344696099723264 45792928132964352 68689392199446528 137378784398893056
- Sum of all divisors σ(n): 442238599582970916
- Sum of proper divisors (its aliquot sum) s(n): 304859815184077860
- 137378784398893056 is an abundant number, because the sum of its proper divisors (304859815184077860) is greater than itself. Its abundance is 167481030785184804
Bases of 137378784398893056
- Binary: 1111010000001000101000110110010111100010101100000000000002
- Hexadecimal: 0x1E81146CBC56000
- Base-36: 11KOPQAO0000
Squares and roots of 137378784398893056
- 137378784398893056 squared (1373787843988930562) is 18872930402917542117763478125019136
- 137378784398893056 cubed (1373787843988930563) is 2592740236797722872502221115789114554888657217519616
-
The
square root of 137378784398893056 is 370646441.2332769939 -
The
cube root of 137378784398893056 is 515988.3422827627
Scales and comparisons
How big is 137378784398893056?- 137,378,784,398,893,056 seconds is equal to 4,368,220,403 years, 21 weeks, 57 minutes, 36 seconds.
-
To count from 1 to 137,378,784,398,893,056 would take you about thirteen billion, one hundred four million, six hundred sixty-one thousand, two hundred ten 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 137378784398893056 cubic inches would be around 42999 feet tall.
Recreational maths with 137378784398893056
- 137378784398893056 backwards is 650398893487873731
- The number of decimal digits it has is: 18
- The sum of 137378784398893056's digits is 99
- More coming soon!
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"Number 137378784398893056 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 137378784398893056 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137378784398893056/
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The information we have on file for 137378784398893056 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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