137078582945472
137,078,582,945,472 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137078582945472 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2520 divisors.
137078582945472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 137078582945472:
26 × 34 × 72 × 17 × 19 × 612 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 19 × 61 × 61 × 449)See below for interesting mathematical facts about the number 137078582945472 from the Numbermatics database.
Names of 137078582945472
- Cardinal: 137078582945472 can be written as One hundred thirty-seven trillion, seventy-eight billion, five hundred eighty-two million, nine hundred forty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.37078582945472 × 1014
Factors of 137078582945472
Divisors of 137078582945472
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 49 51 54 56 57 61 63 64 68 72 76 81 84 96 98 102 108 112 114 119 122 126 133 136 144 147 152 153 162 168 171 183 189 192 196 204 216 224 228 238 244 252 266 272 288 294 304 306 323 324 336 342 357 366 378 392 399 408 427 432 441 448 449 456 459 476 488 504 513 532 544 549 567 576 588 608 612 646 648 672 684 714 732 756 784 798 816 833 854 864 882 898 912 918 931 952 969 976 1008 1026 1037 1064 1071 1088 1098 1134 1159 1176 1197 1216 1224 1281 1292 1296 1323 1344 1347 1368 1377 1428 1464 1512 1539 1568 1596 1632 1647 1666 1708 1728 1764 1796 1824 1836 1862 1904 1938 1952 2016 2052 2074 2128 2142 2196 2261 2268 2318 2352 2394 2448 2499 2562 2584 2592 2646 2694 2736 2754 2793 2856 2907 2928 2989 3024 3078 3111 3136 3143 3192 3213 3264 3294 3332 3416 3477 3528 3591 3592 3648 3672 3721 3724 3808 3843 3876 3904 3969 4032 4041 4104 4148 4256 4284 4392 4522 4536 4636 4704 4788 4896 4941 4998 5124 5168 5184 5292 5388 5472 5508 5586 5712 5814 5856 5978 6048 6156 6222 6286 6384 6426 6588 6664 6783 6832 6954 7056 7182 7184 7259 7344 7442 7448 7497 7616 7633 7686 7752 7938 8082 8113 8208 8296 8379 8512 8531 8568 8721 8784 8967 9044 9072 9272 9333 9408 9429 9576 9639 9792 9882 9996 10248 10336 10431 10584 10773 10776 10944 11016 11163 11172 11424 11529 11628 11712 11956 12096 12123 12312 12444 12572 12768 12852 13176 13328 13566 13664 13908 14112 14364 14368 14518 14688 14884 14896 14994 15266 15372 15504 15827 15876 16164 16226 16416 16592 16758 17062 17136 17442 17568 17934 18088 18144 18544 18666 18858 19152 19278 19703 19764 19992 20349 20496 20672 20862 21168 21546 21552 21777 22001 22032 22326 22344 22491 22848 22899 23058 23256 23912 24246 24339 24624 24888 25137 25144 25536 25593 25704 26047 26163 26352 26656 26901 27132 27328 27389 27816 27999 28224 28287 28728 28736 29036 29376 29768 29792 29988 30532 30744 31008 31293 31654 31752 32328 32452 32832 33184 33489 33516 34124 34272 34587 34884 35136 35868 36176 36288 36369 37088 37332 37716 38304 38556 39406 39528 39984 40698 40992 41724 42336 43092 43104 43554 44002 44064 44652 44688 44982 45798 46116 46512 47481 47824 48492 48678 49248 49776 50274 50288 50813 51186 51408 52094 52326 52704 53312 53431 53802 54264 54778 55632 55998 56574 56791 57456 58072 59109 59536 59584 59717 59976 61047 61064 61488 62016 62586 63257 63308 63504 64656 64904 65331 66003 66368 66978 67032 67473 68248 68544 68697 69174 69768 70699 71736 72352 72738 73017 74176 74664 75411 75432 76608 76779 77112 78141 78812 79056 79968 80703 81396 81984 82167 83448 83997 84672 84861 86184 86208 87108 88004 88128 89304 89376 89964 91596 92232 93024 93879 94962 95648 96984 97356 98496 99552 100467 100548 100576 101626 102372 102816 104188 104652 105408 106862 107604 108528 109556 111264 111996 113148 113582 114912 116144 118218 119072 119434 119952 122094 122128 122976 125172 126514 126616 127008 129312 129808 130662 132006 133956 134064 134946 136496 137394 137921 138348 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143990108136 147238005312 149323075104 150305463756 152648756064 155417894496 158655767298 160513563168 164560123584 167988459492 171777672864 174845131308 181320876912 187265823696 191986810848 200407285008 203985986526 211541023064 212195948832 223984612656 225458195634 233126841744 237983650947 241761169216 249687764928 251982689238 257666509296 267209713344 271981315368 280898735544 287980216272 298646150208 300610927512 305297512128 305978979789 310835788992 317311534596 321027126336 335976918984 343555345728 349690262616 362641753824 374531647392 383973621696 400814570016 407971973052 423082046128 424391897664 447969225312 450916391268 466253683488 475967301894 503965378476 515333018592 543962630736 561797471088 575960432544 601221855024 611957959578 634623069192 671953837968 699380525232 713950952841 725283507648 749063294784 801629140032 815943946104 846164092256 895938450624 901832782536 932507366976 951934603788 1007930756952 1030666037184 1087925261472 1123594942176 1151920865088 1202443710048 1223915919156 1269246138384 1343907675936 1398761050464 1427901905682 1631887892208 1692328184512 1803665565072 1903869207576 2015861513904 2141852858523 2175850522944 2247189884352 2404887420096 2447831838312 2538492276768 2687815351872 2797522100928 2855803811364 3263775784416 3607331130144 3807738415152 4031723027808 4283705717046 4895663676624 5076984553536 5711607622728 6527551568832 7214662260288 7615476830304 8063446055616 8567411434092 9791327353248 11423215245456 15230953660608 17134822868184 19582654706496 22846430490912 34269645736368 45692860981824 68539291472736 137078582945472
- Sum of all divisors σ(n): 536803455474000
- Sum of proper divisors (its aliquot sum) s(n): 399724872528528
- 137078582945472 is an abundant number, because the sum of its proper divisors (399724872528528) is greater than itself. Its abundance is 262646289583056
Bases of 137078582945472
- Binary: 111110010101100000110000011111000100110110000002
- Hexadecimal: 0x7CAC183E26C0
- Base-36: 1CL9150S00
Squares and roots of 137078582945472
- 137078582945472 squared (1370785829454722) is 18790537902338647055325302784
- 137078582945472 cubed (1370785829454723) is 2575780308435763673742393363043896961794048
-
The
square root of 137078582945472 is 11708056.3265416519 -
The
cube root of 137078582945472 is 51561.2220602973
Scales and comparisons
How big is 137078582945472?- 137,078,582,945,472 seconds is equal to 4,358,674 years, 48 weeks, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,078,582,945,472 would take you about ten million, eight hundred ninety-six thousand, six hundred eighty-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 137078582945472 cubic inches would be around 4296.8 feet tall.
Recreational maths with 137078582945472
- 137078582945472 backwards is 274549285870731
- 137078582945472 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137078582945472's digits is 72
- More coming soon!
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"Number 137078582945472 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 137078582945472 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137078582945472/
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The information we have on file for 137078582945472 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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