48136648642068480
48,136,648,642,068,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48136648642068480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2448 divisors.
48136648642068480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 48136648642068480:
216 × 3 × 5 × 13 × 31 × 732 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 31 × 73 × 73 × 151 × 151)See below for interesting mathematical facts about the number 48136648642068480 from the Numbermatics database.
Names of 48136648642068480
- Cardinal: 48136648642068480 can be written as Forty-eight quadrillion, one hundred thirty-six trillion, six hundred forty-eight billion, six hundred forty-two million, sixty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.813664864206848 × 1016
Factors of 48136648642068480
Divisors of 48136648642068480
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 48 52 60 62 64 65 73 78 80 93 96 104 120 124 128 130 146 151 155 156 160 186 192 195 208 219 240 248 256 260 292 302 310 312 320 365 372 384 390 403 416 438 453 465 480 496 512 520 584 604 620 624 640 730 744 755 768 780 806 832 876 906 930 949 960 992 1024 1040 1095 1168 1208 1209 1240 1248 1280 1460 1488 1510 1536 1560 1612 1664 1752 1812 1860 1898 1920 1963 1984 2015 2048 2080 2190 2263 2265 2336 2416 2418 2480 2496 2560 2847 2920 2976 3020 3072 3120 3224 3328 3504 3624 3720 3796 3840 3926 3968 4030 4096 4160 4380 4526 4530 4672 4681 4745 4832 4836 4960 4992 5120 5329 5694 5840 5889 5952 6040 6045 6144 6240 6448 6656 6789 7008 7248 7440 7592 7680 7852 7936 8060 8192 8320 8760 9052 9060 9344 9362 9490 9664 9672 9815 9920 9984 10240 10658 11023 11315 11388 11680 11778 11904 12080 12090 12288 12480 12896 13312 13578 14016 14043 14235 14496 14880 15184 15360 15704 15872 15987 16120 16384 16640 17520 18104 18120 18688 18724 18980 19328 19344 19630 19840 19968 20480 21316 22046 22630 22776 22801 23360 23405 23556 23808 24160 24180 24576 24960 25792 26624 26645 27156 28032 28086 28470 28992 29419 29445 29760 30368 30720 31408 31744 31974 32240 32768 33069 33280 33945 35040 36208 36240 37376 37448 37960 38656 38688 39260 39680 39936 40960 42632 44092 45260 45552 45602 46720 46810 47112 47616 48320 48360 49152 49920 51584 53248 53290 54312 55115 56064 56172 56940 57984 58838 58890 59520 60736 60853 61440 62816 63488 63948 64480 65536 66138 66560 67890 68403 69277 70080 70215 72416 72480 74752 74896 75920 77312 77376 78520 79360 79872 79935 81920 85264 88184 88257 90520 91104 91204 93440 93620 94224 95232 96640 96720 98304 99840 103168 106496 106580 108624 110230 112128 112344 113880 114005 115968 117676 117780 119040 121472 121706 122880 125632 126976 127896 128960 132276 133120 135780 136806 138554 140160 140430 143299 144832 144960 147095 149504 149792 151840 154624 154752 157040 158720 159744 159870 163840 165199 165345 170528 176368 176514 181040 182208 182408 182559 186880 187240 188448 190464 193280 193440 196608 199680 206336 207831 212992 213160 217248 220460 224256 224688 227760 228010 231936 235352 235560 238080 242944 243412 245760 251264 253952 255792 257920 264552 266240 271560 273612 277108 280320 280860 286598 289664 289920 294190 296413 299008 299584 303680 304265 309248 309504 314080 317440 319488 319740 327680 330398 330690 341056 341713 342015 346385 352736 353028 362080 364416 364816 365118 373760 374480 376896 380928 386560 386880 399360 412672 415662 425984 426320 429897 434496 440920 441285 448512 449376 455520 456020 463872 470704 471120 476160 485888 486824 491520 495597 502528 507904 511584 515840 529104 532480 543120 547224 554216 560640 561720 573196 579328 579840 588380 592826 598016 599168 607360 608530 618496 619008 628160 634880 638976 639480 660796 661380 682112 683426 684030 692770 705472 706056 706831 716495 724160 728832 729632 730236 747520 748960 753792 761856 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11944577826816 12131211855360 12260990484480 12535585583872 12680887418880 12939959312384 13282739691520 13737628037120 14464137212160 14930722283520 15428413026304 15669481979840 15939287629824 16174949140480 16485153644544 16907849891840 18803378375808 19285516282880 19409938968576 19907629711360 19924109537280 20606442055680 21252383506432 21271165992960 21980204859392 23142619539456 23504222969760 23889155653632 24262423710720 24521980968960 25071171167744 25361774837760 25879918624768 26565479383040 27475256074240 28928274424320 29861444567040 30856826052608 31338963959680 31878575259648 32349898280960 32970307289088 37606756751616 38571032565760 38819877937152 39815259422720 39848219074560 41212884111360 43960409718784 46285239078912 47008445939520 48524847421440 50142342335488 50723549675520 51759837249536 53130958766080 54950512148480 57856548848640 59722889134080 61713652105216 62677927919360 63757150519296 64699796561920 65940614578176 75213513503232 77142065131520 77639755874304 79696438149120 82425768222720 92570478157824 94016891879040 97049694842880 100284684670976 103519674499072 106261917532160 109901024296960 115713097697280 119445778268160 123427304210432 125355855838720 129399593123840 131881229156352 150427027006464 154284130263040 155279511748608 159392876298240 164851536445440 185140956315648 188033783758080 194099389685760 200569369341952 219802048593920 231426195394560 246854608420864 250711711677440 258799186247680 300854054012928 308568260526080 310559023497216 318785752596480 329703072890880 370281912631296 376067567516160 388198779371520 401138738683904 462852390789120 501423423354880 517598372495360 601708108025856 617136521052160 659406145781760 740563825262592 752135135032320 776397558743040 802277477367808 925704781578240 1002846846709760 1203416216051712 1234273042104320 1504270270064640 1552795117486080 1604554954735616 1851409563156480 2005693693419520 2406832432103424 3008540540129280 3209109909471232 3702819126312960 4011387386839040 4813664864206848 6017081080258560 8022774773678080 9627329728413696 12034162160517120 16045549547356160 24068324321034240 48136648642068480
- Sum of all divisors σ(n): 174771370886128128
- Sum of proper divisors (its aliquot sum) s(n): 126634722244059648
- 48136648642068480 is an abundant number, because the sum of its proper divisors (126634722244059648) is greater than itself. Its abundance is 78498073601991168
Bases of 48136648642068480
- Binary: 101010110000010000000110111000101111110100000000000000002
- Hexadecimal: 0xAB0406E2FD0000
- Base-36: D5Z0N3Q1T6O
Squares and roots of 48136648642068480
- 48136648642068480 squared (481366486420684802) is 2317136942489953239562013009510400
- 48136648642068480 cubed (481366486420684803) is 111539206856195717245627986206880335895768072192000
-
The
square root of 48136648642068480 is 219400657.7977114453 -
The
cube root of 48136648642068480 is 363768.6627368933
Scales and comparisons
How big is 48136648642068480?- 48,136,648,642,068,480 seconds is equal to 1,530,596,530 years, 20 weeks, 23 hours, 28 minutes.
-
To count from 1 to 48,136,648,642,068,480 would take you about four billion, five hundred ninety-one million, seven hundred eighty-nine thousand, five hundred ninety-one 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 48136648642068480 cubic inches would be around 30314.1 feet tall.
Recreational maths with 48136648642068480
- 48136648642068480 backwards is 08486024684663184
- 48136648642068480 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48136648642068480's digits is 78
- More coming soon!
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"Number 48136648642068480 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 48136648642068480 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/48136648642068480/
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The information we have on file for 48136648642068480 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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