137958492672
137,958,492,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 137958492672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
137958492672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137958492672:
29 × 32 × 7 × 112 × 13 × 2719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 13 × 2719)See below for interesting mathematical facts about the number 137958492672 from the Numbermatics database.
Names of 137958492672
- Cardinal: 137958492672 can be written as One hundred thirty-seven billion, nine hundred fifty-eight million, four hundred ninety-two thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37958492672 × 1011
Factors of 137958492672
Divisors of 137958492672
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 64 66 72 77 78 84 88 91 96 99 104 112 117 121 126 128 132 143 144 154 156 168 176 182 192 198 208 224 231 234 242 252 256 264 273 286 288 308 312 336 352 363 364 384 396 416 429 448 462 468 484 504 512 528 546 572 576 616 624 672 693 704 726 728 768 792 819 832 847 858 896 924 936 968 1001 1008 1056 1089 1092 1144 1152 1232 1248 1287 1344 1386 1408 1452 1456 1536 1573 1584 1638 1664 1694 1716 1792 1848 1872 1936 2002 2016 2112 2178 2184 2288 2304 2464 2496 2541 2574 2688 2719 2772 2816 2904 2912 3003 3146 3168 3276 3328 3388 3432 3584 3696 3744 3872 4004 4032 4224 4356 4368 4576 4608 4719 4928 4992 5082 5148 5376 5438 5544 5632 5808 5824 6006 6292 6336 6552 6656 6776 6864 7392 7488 7623 7744 8008 8064 8157 8448 8712 8736 9009 9152 9438 9856 9984 10164 10296 10752 10876 11011 11088 11616 11648 12012 12584 12672 13104 13552 13728 14157 14784 14976 15246 15488 16016 16128 16314 16896 17424 17472 18018 18304 18876 19033 19712 19968 20328 20592 21752 22022 22176 23232 23296 24024 24471 25168 25344 26208 27104 27456 28314 29568 29909 29952 30492 30976 32032 32256 32628 33033 34848 34944 35347 36036 36608 37752 38066 39424 40656 41184 43504 44044 44352 46464 46592 48048 48942 50336 50688 52416 54208 54912 56628 57099 59136 59818 59904 60984 61952 64064 65256 66066 69696 69888 70694 72072 73216 75504 76132 81312 82368 87008 88088 88704 89727 92928 96096 97884 99099 100672 104832 106041 108416 109824 113256 114198 118272 119636 121968 128128 130512 132132 139392 139776 141388 144144 151008 152264 162624 164736 171297 174016 176176 177408 179454 185856 192192 195768 198198 201344 209363 209664 212082 216832 219648 226512 228396 239272 243936 247429 256256 261024 264264 269181 278784 282776 288288 302016 304528 318123 325248 328999 329472 342594 348032 352352 354816 358908 384384 388817 391536 396396 402688 418726 419328 424164 433664 453024 456792 478544 487872 494858 512512 522048 528528 538362 557568 565552 576576 604032 609056 628089 636246 650496 657998 658944 685188 696064 704704 717816 742287 768768 777634 783072 792792 805376 837452 848328 906048 913584 957088 975744 986997 989716 1044096 1057056 1076724 1131104 1153152 1166451 1208064 1218112 1256178 1272492 1300992 1315996 1370376 1392128 1409408 1435632 1484574 1537536 1555268 1566144 1585584 1674904 1696656 1812096 1827168 1884267 1914176 1951488 1973994 1979432 2088192 2114112 2153448 2226861 2262208 2302993 2306304 2332902 2416128 2436224 2512356 2544984 2631992 2721719 2740752 2818816 2871264 2960991 2969148 3110536 3132288 3171168 3349808 3393312 3499353 3624192 3654336 3768534 3828352 3902976 3947988 3958864 4176384 4228224 4276987 4306896 4453722 4524416 4605986 4612608 4665804 4872448 5024712 5089968 5263984 5443438 5481504 5637632 5742528 5921982 5938296 6221072 6264576 6342336 6699616 6786624 6908979 6998706 7248384 7308672 7537068 7656704 7895976 7917728 8165157 8456448 8553974 8613792 8907444 9048832 9211972 9331608 9744896 10049424 10179936 10527968 10886876 10963008 11485056 11843964 11876592 12442144 12529152 12684672 12830961 13399232 13573248 13817958 13997412 14617344 15074136 15313408 15791952 15835456 16330314 16912896 17107948 17227584 17814888 18097664 18423944 18663216 20098848 20359872 20726937 21055936 21773752 21926016 22970112 23687928 23753184 24495471 24884288 25369344 25661922 26798464 27146496 27635916 27994824 29234688 29938909 30148272 31583904 31670912 32660628 34215896 34455168 35629776 36847888 37326432 38492883 40197696 40719744 41453874 42111872 43547504 43852032 45940224 47375856 47506368 48990942 49768576 50738688 51323844 53596928 54292992 55271832 55989648 59877818 60296544 63167808 63341824 65321256 68431792 68910336 71259552 73695776 74652864 76985766 80395392 81439488 82907748 84223744 87095008 87704064 89816727 94751712 95012736 97981884 99537152 102647688 107193856 110543664 111979296 119755636 120593088 126335616 126683648 130642512 136863584 137820672 142519104 147391552 149305728 153971532 160790784 162878976 165815496 168447488 174190016 179633454 189503424 190025472 195963768 199074304 205295376 221087328 223958592 239511272 241186176 252671232 261285024 269450181 273727168 285038208 294783104 298611456 307943064 321581568 331630992 348380032 359266908 379006848 380050944 391927536 410590752 442174656 447917184 479022544 482372352 505342464 522570048 538900362 547454336 570076416 589566208 597222912 615886128 663261984 696760064 718533816 758013696 783855072 821181504 884349312 895834368 958045088 964744704 1045140096 1077800724 1094908672 1140152832 1179132416 1231772256 1326523968 1393520128 1437067632 1516027392 1567710144 1642363008 1768698624 1791668736 1916090176 2090280192 2155601448 2189817344 2463544512 2653047936 2874135264 3135420288 3284726016 3537397248 3832180352 4180560384 4311202896 4927089024 5306095872 5748270528 6270840576 6569452032 7664360704 8622405792 9854178048 10612191744 11496541056 12541681152 15328721408 17244811584 19708356096 22993082112 34489623168 45986164224 68979246336 137958492672
- Sum of all divisors σ(n): 538837178880
- Sum of proper divisors (its aliquot sum) s(n): 400878686208
- 137958492672 is an abundant number, because the sum of its proper divisors (400878686208) is greater than itself. Its abundance is 262920193536
Bases of 137958492672
- Binary: 100000000111101111011110001010000000002
- Hexadecimal: 0x201EF78A00
- Base-36: 1RDKXA80
Squares and roots of 137958492672
- 137958492672 squared (1379584926722) is 19032545700330277699584
- 137958492672 cubed (1379584926723) is 2625701316528519723997784281448448
-
The
square root of 137958492672 is 371427.6412331209 -
The
cube root of 137958492672 is 5167.1310957905
Scales and comparisons
How big is 137958492672?- 137,958,492,672 seconds is equal to 4,386 years, 33 weeks, 6 days, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,958,492,672 would take you about eight thousand, seven hundred seventy-three 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 137958492672 cubic inches would be around 430.6 feet tall.
Recreational maths with 137958492672
- 137958492672 backwards is 276294859731
- 137958492672 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137958492672's digits is 63
- More coming soon!
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The information we have on file for 137958492672 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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