137264336352
137,264,336,352 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137264336352 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
137264336352 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137264336352:
25 × 32 × 11 × 132 × 23 × 71 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 13 × 23 × 71 × 157)See below for interesting mathematical facts about the number 137264336352 from the Numbermatics database.
Names of 137264336352
- Cardinal: 137264336352 can be written as One hundred thirty-seven billion, two hundred sixty-four million, three hundred thirty-six thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.37264336352 × 1011
Factors of 137264336352
Divisors of 137264336352
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 32 33 36 39 44 46 48 52 66 69 71 72 78 88 92 96 99 104 117 132 138 142 143 144 156 157 169 176 184 198 207 208 213 234 253 264 276 284 286 288 299 312 314 338 352 368 396 414 416 426 429 468 471 506 507 528 552 568 572 598 624 628 639 676 736 759 781 792 828 852 858 897 923 936 942 1012 1014 1056 1104 1136 1144 1196 1248 1256 1278 1287 1352 1413 1518 1521 1562 1584 1633 1656 1704 1716 1727 1794 1846 1859 1872 1884 2024 2028 2041 2208 2272 2277 2288 2343 2392 2512 2556 2574 2691 2704 2769 2826 3036 3042 3124 3168 3266 3289 3312 3408 3432 3454 3588 3611 3692 3718 3744 3768 3887 4048 4056 4082 4554 4576 4686 4784 4899 5024 5112 5148 5181 5382 5408 5538 5577 5652 6072 6084 6123 6248 6532 6578 6624 6816 6864 6908 7029 7176 7222 7384 7436 7536 7774 8096 8112 8164 8307 9108 9372 9568 9798 9867 10153 10224 10296 10362 10764 10833 11076 11147 11154 11304 11661 11999 12144 12168 12246 12496 13064 13156 13728 13816 14058 14352 14444 14697 14768 14872 15072 15543 15548 16224 16328 16614 16731 17963 18216 18369 18744 19596 19734 20306 20448 20592 20724 21229 21528 21666 22152 22294 22308 22451 22608 23322 23998 24288 24336 24492 24992 26128 26312 26533 27632 28116 28704 28888 29394 29536 29601 29744 30459 31086 31096 32499 32656 33228 33441 33462 34983 35926 35997 36432 36738 37488 39192 39468 39721 40612 41184 41448 42458 42757 43056 43332 44304 44588 44616 44902 45216 46644 46943 47996 48672 48984 52256 52624 53066 53889 55264 56232 57776 58788 59202 59488 60918 62172 62192 63687 64998 65312 66456 66882 66924 67353 69966 71852 71994 72864 73476 74976 78384 78936 79442 79599 81224 82896 84916 85514 86112 86664 88608 89176 89232 89804 91377 93288 93886 95992 97968 100323 105248 106132 107778 107991 112464 115552 117576 118404 119163 121836 122617 124344 124384 127374 128271 129996 131989 132912 133764 133848 134706 139932 140829 143704 143988 144911 146952 156768 157872 158884 159198 161667 162448 165792 169832 171028 173328 178352 178464 179608 182754 186576 187772 191061 191984 195936 200646 202059 212264 215556 215982 224928 233519 235152 236808 238326 238797 243672 245234 248688 254748 256381 256542 259992 263978 265824 267528 267696 269412 275977 279864 281658 287408 287976 289822 291863 293904 315744 317768 318396 323334 324896 339664 342056 346656 356704 357489 359216 365508 367851 373152 375544 382122 383968 384813 395967 401292 404118 422487 424528 431112 431964 434733 467038 470304 473616 476652 477594 487344 490468 497376 509496 512762 513084 516373 519984 527956 535056 535392 538824 551954 559728 563316 574816 575952 579644 583726 587808 610259 635536 636792 646668 679328 684112 700557 714978 718432 731016 735702 751088 764244 769143 769626 791934 802584 808236 827931 844974 849056 862224 863928 869466 875589 934076 947232 953304 955188 974688 980936 1018992 1025524 1026168 1032746 1039968 1055912 1070112 1077648 1103553 1103908 1119456 1126632 1151904 1159288 1167452 1187901 1220518 1271072 1273584 1293336 1304199 1368224 1401114 1429956 1462032 1471404 1502176 1528488 1538286 1539252 1549119 1583868 1594021 1605168 1616472 1655862 1689948 1724448 1727856 1738932 1751178 1830777 1868152 1883843 1906608 1910376 1961872 2037984 2051048 2052336 2065492 2101671 2111824 2155296 2207106 2207816 2253264 2307429 2318576 2334904 2375802 2441036 2483793 2547168 2586672 2608398 2626767 2802228 2820191 2859912 2924064 2942808 3035747 3056976 3076572 3078504 3098238 3167736 3188042 3210336 3232944 3311724 3332953 3379896 3455712 3477864 3502356 3661554 3736304 3767686 3813216 3820752 3923744 4102096 4104672 4130984 4203342 4223648 4414212 4415632 4506528 4614858 4637152 4647357 4669808 4751604 4782063 4882072 4967586 5173344 5216796 5253534 5492331 5604456 5640382 5651529 5719824 5885616 6071494 6113952 6153144 6157008 6196476 6335472 6376084 6465888 6623448 6665906 6712849 6759792 6955728 7004712 7323108 7472608 7535372 7641504 8204192 8261968 8406684 8460573 8828424 8831264 9107241 9229716 9294714 9339616 9503208 9564126 9764144 9935172 9998859 10433592 10507068 10984662 11208912 11280764 11303058 11439648 11771232 12142988 12306288 12314016 12392952 12670944 12752168 13246896 13331812 13425698 13519584 13911456 14009424 14346189 14646216 15070744 16523936 16813368 16921146 16954587 17656848 18214482 18459432 18589428 19006416 19128252 19528288 19870344 19997718 20138547 20722273 20867184 21014136 21969324 22417824 22561528 22606116 24285976 24612576 24785904 25381719 25504336 26493792 26663624 26851396 27321723 28018848 28692378 29292432 29996577 30141488 33626736 33842292 33909174 35313696 36428964 36662483 36918864 37178856 38012832 38256504 39740688 39995436 40277094 41444546 41734368 42028272 43328389 43938648 45123056 45212232 48571952 49571808 50763438 51008672 53327248 53702792 54643446 57384756 58584864 59993154 60282976 60415641 62166819 67253472 67684584 67818348 72857928 73324966 73837728 74357712 76513008 79481376 79990872 80554188 82889092 84056544 86656778 87877296 90246112 90424464 97143904 101526876 106654496 107405584 109286892 109987449 114769512 119986308 120831282 124333638 129985167 135369168 135636696 145715856 146649932 148715424 153026016 159981744 161108376 165778184 173313556 175754592 180848928 186500457 203053752 214811168 218573784 219974898 229539024 239972616 241662564 248667276 259970334 270738336 271273392 291431712 293299864 319963488 322216752 329962347 331556368 346627112 373000914 389955501 406107504 437147568 439949796 459078048 476612279 479945232 483325128 497334552 519940668 542546784 586599728 644433504 659924694 663112736 693254224 746001828 779911002 812215008 874295136 879899592 953224558 959890464 966650256 994669104 1039881336 1173199456 1319849388 1386508448 1429836837 1492003656 1559822004 1759799184 1906449116 1933300512 1989338208 2079762672 2639698776 2859673674 2984007312 3119644008 3519598368 3812898232 4159525344 4289510511 5279397552 5719347348 5968014624 6239288016 7625796464 8579021022 10558795104 11438694696 12478576032 15251592928 17158042044 22877389392 34316084088 45754778784 68632168176 137264336352
- Sum of all divisors σ(n): 491040216576
- Sum of proper divisors (its aliquot sum) s(n): 353775880224
- 137264336352 is an abundant number, because the sum of its proper divisors (353775880224) is greater than itself. Its abundance is 216511543872
Bases of 137264336352
- Binary: 11111111101011001011110001101111000002
- Hexadecimal: 0x1FF5978DE0
- Base-36: 1R23N3S0
Squares and roots of 137264336352
- 137264336352 squared (1372643363522) is 18841498034154988667904
- 137264336352 cubed (1372643363523) is 2586265723535797148609923082846208
-
The
square root of 137264336352 is 370492.0192824669 -
The
cube root of 137264336352 is 5158.4501528899
Scales and comparisons
How big is 137264336352?- 137,264,336,352 seconds is equal to 4,364 years, 30 weeks, 1 day, 14 hours, 19 minutes, 12 seconds.
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To count from 1 to 137,264,336,352 would take you about eight thousand, seven hundred twenty-nine 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 137264336352 cubic inches would be around 429.9 feet tall.
Recreational maths with 137264336352
- 137264336352 backwards is 253633462731
- The number of decimal digits it has is: 12
- The sum of 137264336352's digits is 45
- More coming soon!
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The information we have on file for 137264336352 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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