138225436402560
138,225,436,402,560 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138225436402560 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
138225436402560 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138225436402560:
27 × 3 × 5 × 13 × 17 × 23 × 89 × 233 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 23 × 89 × 233 × 683)See below for interesting mathematical facts about the number 138225436402560 from the Numbermatics database.
Names of 138225436402560
- Cardinal: 138225436402560 can be written as One hundred thirty-eight trillion, two hundred twenty-five billion, four hundred thirty-six million, four hundred two thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3822543640256 × 1014
Factors of 138225436402560
Divisors of 138225436402560
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 23 24 26 30 32 34 39 40 46 48 51 52 60 64 65 68 69 78 80 85 89 92 96 102 104 115 120 128 130 136 138 156 160 170 178 184 192 195 204 208 221 230 233 240 255 260 267 272 276 299 312 320 340 345 356 368 384 390 391 408 416 442 445 460 466 480 510 520 534 544 552 598 624 640 663 680 683 690 699 712 736 780 782 816 832 884 890 897 920 932 960 1020 1040 1068 1088 1104 1105 1157 1165 1173 1196 1248 1326 1335 1360 1366 1380 1398 1424 1472 1495 1513 1560 1564 1632 1664 1768 1780 1794 1840 1864 1920 1955 2040 2047 2049 2080 2136 2176 2208 2210 2314 2330 2346 2392 2496 2652 2670 2720 2732 2760 2796 2848 2944 2990 3026 3029 3120 3128 3264 3315 3415 3471 3495 3536 3560 3588 3680 3728 3910 3961 4080 4094 4098 4160 4272 4416 4420 4485 4539 4628 4660 4692 4784 4992 5083 5304 5340 5359 5440 5464 5520 5592 5696 5785 5865 5980 6052 6058 6141 6240 6256 6528 6630 6830 6942 6990 7072 7120 7176 7360 7456 7565 7820 7922 8160 8188 8196 8320 8544 8832 8840 8879 8970 9078 9087 9256 9320 9384 9568 10166 10235 10245 10608 10680 10718 10880 10928 11040 11184 11392 11570 11611 11730 11883 11960 12104 12116 12282 12480 12512 13260 13660 13884 13980 14144 14240 14352 14720 14912 15130 15145 15249 15640 15709 15844 16077 16320 16376 16392 17088 17355 17680 17758 17940 18156 18174 18512 18640 18768 19136 19669 19805 20332 20470 20490 20737 21216 21360 21436 21856 22080 22368 22695 23140 23222 23460 23766 23920 24208 24232 24564 24960 25024 25415 26520 26611 26637 26795 27320 27768 27960 28288 28480 28704 29824 30260 30290 30498 30705 31280 31418 31688 32154 32640 32752 32784 34176 34710 34799 34833 35360 35516 35880 36312 36348 37024 37280 37536 38272 39338 39610 40664 40940 40980 41474 42432 42720 42872 43712 44160 44395 44736 45390 45435 46280 46444 46920 47127 47532 47840 48416 48464 49128 50048 50830 51493 53040 53222 53274 53590 54640 55536 55920 56960 57408 58055 59007 59415 60520 60580 60787 60996 61410 62211 62560 62836 63376 64308 65504 65568 69420 69598 69666 69667 70720 71032 71760 72624 72696 74048 74560 75072 76245 78545 78676 79220 79833 80385 81328 81880 81960 82948 84864 85440 85744 87424 88790 89472 90780 90870 91103 92560 92888 93840 94254 95064 95680 96832 96928 98256 98345 101660 102986 103685 104397 106080 106444 106548 107180 109280 111072 111840 114816 116110 118014 118830 121040 121160 121574 121992 122820 124422 125120 125672 126752 128616 131008 131136 133055 133185 138840 139196 139332 139334 141440 142064 143520 145248 145392 148096 149120 150144 150943 152490 154479 157090 157352 158440 159139 159666 160770 162656 163760 163920 165896 170880 171488 173995 174165 177580 181560 181740 182206 182361 185120 185776 187680 188508 190128 191360 193664 193856 196512 196690 203320 204217 205972 207370 208794 209001 212160 212888 213096 214360 218560 222144 223680 232220 235635 236028 237660 242080 242320 243148 243984 245640 248844 250240 251344 253504 257232 257465 262016 262272 266110 266370 267053 269581 273309 277680 278392 278664 278668 284128 287040 290496 290784 295035 301886 303935 304980 308958 311055 314180 314704 316880 318278 319332 321540 325312 327520 327840 331792 342976 347990 348330 348335 352529 355160 363120 363480 364412 364722 370240 371552 375360 377016 380256 387712 393024 393380 399165 406640 408434 411944 414740 417588 418002 424320 425776 426192 428720 437120 444288 447360 452387 452829 455515 464440 471270 472056 475320 476951 477417 484160 484640 486296 487968 491280 497688 502688 507008 514464 514930 521985 532220 532740 534106 539162 546618 555360 556784 557328 557336 568256 574080 580992 581568 590070 603772 607870 609960 612651 617916 622110 628360 629408 633760 636556 638664 643080 650624 655040 655680 663584 685952 695980 696660 696670 705058 710320 726240 726960 728824 729444 740480 743104 750720 754032 754715 760512 772395 786048 786760 790231 795695 798330 801159 808743 813280 816868 823888 829480 835176 836004 851552 852384 857440 904774 905658 911030 911805 928880 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7364952920 7415527704 7466801880 7605669440 7613209760 7704873824 7783840320 7818180792 7964588672 8089035370 8432493680 8440732560 8469695858 8597713280 8724150240 8799123840 8837943504 9064557440 9126803328 9135851712 9269409630 9390314973 9631092280 9706842444 9772725990 9887370272 9955735840 10118992416 10424241056 11047429380 11075756122 11254310080 11408504160 11419814640 11557310736 11632200320 11783924672 11904696960 11946883008 12133553055 12359212840 12520419964 12648740520 12704543787 12896569920 12942456592 13030301320 13491989888 13505172096 13596836160 14446638420 14729905840 14831055408 14933603760 15211338880 15226419520 15409747648 15567680640 15636361584 15650524955 16178070740 16613634183 16864987360 16881465120 16939391716 17448300480 17675887008 18271703424 18538819260 18780629946 19262184560 19413684888 19545451980 19774740544 19911471680 20237984832 20848482112 21174239645 22094858760 22151512244 22508620160 22817008320 22839629280 23114621472 23567849344 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110757561220 115573107360 117839246720 118648443264 119468830080 125090892672 125204199640 127045437870 129424565920 132909073464 135515133728 143984829586 148310554080 150245039568 154097476480 155309479104 156363615840 166136341830 169393917160 176758870080 177212097952 187806299460 194136848880 197747405440 200326719424 202379848320 203272700592 208484821120 215977244379 221515122440 231146214720 250408399280 254090875740 258849131840 265818146928 271030267456 287969659172 296621108160 300490079136 310618958208 312727231680 332272683660 338787834320 353517740160 354424195904 359962073965 375612598920 388273697760 400653438848 406545401184 431954488758 443030244880 462292429440 500816798560 508181751480 517698263680 531636293856 542060534912 575939318344 593242216320 600980158272 625454463360 664545367320 677575668640 708848391808 719924147930 751225197840 776547395520 813090802368 863908977516 886060489760 1001633597120 1016363502960 1063272587712 1079886221895 1151878636688 1201960316544 1329090734640 1355151337280 1439848295860 1502450395680 1553094791040 1626181604736 1727817955032 1772120979520 2003267194240 2032727005920 2126545175424 2159772443790 2303757273376 2658181469280 2710302674560 2879696591720 3004900791360 3455635910064 3544241959040 4065454011840 4319544887580 4607514546752 5316362938560 5759393183440 6009801582720 6911271820128 8130908023680 8639089775160 9215029093504 10632725877120 11518786366880 13822543640256 17278179550320 23037572733760 27645087280512 34556359100640 46075145467520 69112718201280 138225436402560
- Sum of all divisors σ(n): 533184693350400
- Sum of proper divisors (its aliquot sum) s(n): 394959256947840
- 138225436402560 is an abundant number, because the sum of its proper divisors (394959256947840) is greater than itself. Its abundance is 256733820545280
Bases of 138225436402560
- Binary: 111110110110111000111100000100100100011100000002
- Hexadecimal: 0x7DB71E092380
- Base-36: 1CZVVZYIYO
Squares and roots of 138225436402560
- 138225436402560 squared (1382254364025602) is 19106271268678159194374553600
- 138225436402560 cubed (1382254364025603) is 2640972684138732260238911183952789897216000
-
The
square root of 138225436402560 is 11756931.4194886755 -
The
cube root of 138225436402560 is 51704.6167377655
Scales and comparisons
How big is 138225436402560?- 138,225,436,402,560 seconds is equal to 4,395,141 years, 16 weeks, 3 days, 20 hours, 16 minutes.
-
To count from 1 to 138,225,436,402,560 would take you about ten million, nine hundred eighty-seven thousand, eight hundred fifty-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 138225436402560 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138225436402560
- 138225436402560 backwards is 065204634522831
- 138225436402560 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138225436402560's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 138225436402560 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138225436402560 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138225436402560/
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Numbermatics. 2024. "Number 138225436402560 - Facts about the integer". https://numbermatics.com/n/138225436402560/
The information we have on file for 138225436402560 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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