106948362240
106,948,362,240 is an even composite number composed of six prime numbers multiplied together.
106948362240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106948362240:
215 × 32 × 5 × 29 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 29 × 41 × 61)See below for interesting mathematical facts about the number 106948362240 from the Numbermatics database.
Names of 106948362240
- Cardinal: 106948362240 can be written as One hundred six billion, nine hundred forty-eight million, three hundred sixty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.0694836224 × 1011
Factors of 106948362240
Divisors of 106948362240
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 41 45 48 58 60 61 64 72 80 82 87 90 96 116 120 122 123 128 144 145 160 164 174 180 183 192 205 232 240 244 246 256 261 288 290 305 320 328 348 360 366 369 384 410 435 464 480 488 492 512 522 549 576 580 610 615 640 656 696 720 732 738 768 820 870 915 928 960 976 984 1024 1044 1098 1152 1160 1189 1220 1230 1280 1305 1312 1392 1440 1464 1476 1536 1640 1740 1769 1830 1845 1856 1920 1952 1968 2048 2088 2196 2304 2320 2378 2440 2460 2501 2560 2610 2624 2745 2784 2880 2928 2952 3072 3280 3480 3538 3567 3660 3690 3712 3840 3904 3936 4096 4176 4392 4608 4640 4756 4880 4920 5002 5120 5220 5248 5307 5490 5568 5760 5856 5904 5945 6144 6560 6960 7076 7134 7320 7380 7424 7503 7680 7808 7872 8192 8352 8784 8845 9216 9280 9512 9760 9840 10004 10240 10440 10496 10614 10701 10980 11136 11520 11712 11808 11890 12288 12505 13120 13920 14152 14268 14640 14760 14848 15006 15360 15616 15744 15921 16384 16704 17568 17690 17835 18432 18560 19024 19520 19680 20008 20480 20880 20992 21228 21402 21960 22272 22509 23040 23424 23616 23780 24576 25010 26240 26535 27840 28304 28536 29280 29520 29696 30012 30720 31232 31488 31842 32768 33408 35136 35380 35670 36864 37120 37515 38048 39040 39360 40016 40960 41760 41984 42456 42804 43920 44544 45018 46080 46848 47232 47560 49152 50020 52480 53070 53505 55680 56608 57072 58560 59040 59392 60024 61440 62464 62976 63684 66816 70272 70760 71340 72529 73728 74240 75030 76096 78080 78720 79605 80032 81920 83520 83968 84912 85608 87840 89088 90036 92160 93696 94464 95120 98304 100040 104960 106140 107010 111360 112545 113216 114144 117120 118080 118784 120048 122880 124928 125952 127368 133632 140544 141520 142680 145058 147456 148480 150060 152192 156160 157440 159210 160064 163840 167040 167936 169824 171216 175680 178176 180072 184320 187392 188928 190240 200080 209920 212280 214020 217587 222720 225090 226432 228288 234240 236160 237568 240096 245760 249856 251904 254736 267264 281088 283040 285360 290116 294912 296960 300120 304384 312320 314880 318420 320128 334080 335872 339648 342432 351360 356352 360144 362645 368640 374784 377856 380480 400160 419840 424560 428040 435174 445440 450180 452864 456576 468480 472320 475136 480192 491520 499712 503808 509472 534528 562176 566080 570720 580232 593920 600240 608768 624640 629760 636840 640256 652761 668160 671744 679296 684864 702720 712704 720288 725290 737280 749568 755712 760960 800320 839680 849120 856080 870348 890880 900360 905728 913152 936960 944640 950272 960384 999424 1007616 1018944 1069056 1087935 1124352 1132160 1141440 1160464 1187840 1200480 1217536 1249280 1259520 1273680 1280512 1305522 1336320 1343488 1358592 1369728 1405440 1425408 1440576 1450580 1474560 1499136 1511424 1521920 1600640 1679360 1698240 1712160 1740696 1781760 1800720 1811456 1826304 1873920 1889280 1920768 1998848 2015232 2037888 2138112 2175870 2248704 2264320 2282880 2320928 2375680 2400960 2435072 2498560 2519040 2547360 2561024 2611044 2672640 2717184 2739456 2810880 2850816 2881152 2901160 2998272 3022848 3043840 3201280 3263805 3358720 3396480 3424320 3481392 3563520 3601440 3622912 3652608 3747840 3778560 3841536 4030464 4075776 4276224 4351740 4497408 4528640 4565760 4641856 4751360 4801920 4870144 4997120 5038080 5094720 5122048 5222088 5345280 5434368 5478912 5621760 5762304 5802320 5996544 6045696 6087680 6402560 6527610 6717440 6792960 6848640 6962784 7127040 7202880 7245824 7305216 7495680 7557120 7683072 8151552 8552448 8703480 8994816 9057280 9131520 9283712 9603840 9740288 9994240 10076160 10189440 10244096 10444176 10690560 10868736 10957824 11243520 11524608 11604640 12091392 12175360 12805120 13055220 13585920 13697280 13925568 14254080 14405760 14491648 14610432 14991360 15114240 15366144 16303104 17406960 17989632 18114560 18263040 18567424 19207680 19480576 20152320 20378880 20488192 20888352 21381120 21737472 21915648 22487040 23049216 23209280 24350720 25610240 26110440 27171840 27394560 27851136 28811520 28983296 29220864 29982720 30228480 30732288 32606208 34813920 36229120 36526080 37134848 38415360 38961152 40757760 40976384 41776704 42762240 43474944 43831296 44974080 46098432 46418560 48701440 51220480 52220880 54343680 54789120 55702272 57623040 57966592 58441728 60456960 61464576 65212416 69627840 72458240 73052160 74269696 76830720 81515520 81952768 83553408 86949888 87662592 89948160 92196864 92837120 97402880 102440960 104441760 108687360 109578240 111404544 115246080 116883456 122929152 130424832 139255680 144916480 146104320 148539392 153661440 163031040 167106816 173899776 175325184 184393728 185674240 194805760 204881920 208883520 217374720 219156480 222809088 230492160 245858304 260849664 278511360 289832960 292208640 297078784 307322880 326062080 334213632 350650368 368787456 371348480 409763840 417767040 434749440 438312960 445618176 460984320 521699328 557022720 584417280 594157568 614645760 652124160 668427264 737574912 742696960 835534080 869498880 876625920 891236352 921968640 1114045440 1188315136 1229291520 1304248320 1336854528 1485393920 1671068160 1753251840 1782472704 1843937280 2228090880 2376630272 2608496640 2673709056 2970787840 3342136320 3564945408 3687874560 4456181760 5347418112 5941575680 6684272640 7129890816 8912363520 10694836224 11883151360 13368545280 17824727040 21389672448 26737090560 35649454080 53474181120 106948362240
- Sum of all divisors σ(n): 399328347600
- Sum of proper divisors (its aliquot sum) s(n): 292379985360
- 106948362240 is an abundant number, because the sum of its proper divisors (292379985360) is greater than itself. Its abundance is 185431623120
Bases of 106948362240
- Binary: 11000111001101001111010000000000000002
- Hexadecimal: 0x18E69E8000
- Base-36: 1D4QAKG0
Squares and roots of 106948362240
- 106948362240 squared (1069483622402) is 11437952185818257817600
- 106948362240 cubed (1069483622403) is 1223270253652690827882396647424000
-
The
square root of 106948362240 is 327029.6045314553 -
The
cube root of 106948362240 is 4746.6955741763
Scales and comparisons
How big is 106948362240?- 106,948,362,240 seconds is equal to 3,400 years, 32 weeks, 4 days, 6 hours, 24 minutes.
-
To count from 1 to 106,948,362,240 would take you about six thousand, eight hundred 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 106948362240 cubic inches would be around 395.6 feet tall.
Recreational maths with 106948362240
- 106948362240 backwards is 042263849601
- 106948362240 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106948362240's digits is 45
- More coming soon!
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The information we have on file for 106948362240 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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