14400138480
14,400,138,480 is an even composite number composed of seven prime numbers multiplied together.
14400138480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 14400138480:
24 × 3 × 5 × 7 × 132 × 67 × 757
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 67 × 757)See below for interesting mathematical facts about the number 14400138480 from the Numbermatics database.
Names of 14400138480
- Cardinal: 14400138480 can be written as Fourteen billion, four hundred million, one hundred thirty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.440013848 × 1010
Factors of 14400138480
Divisors of 14400138480
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 67 70 78 80 84 91 104 105 112 120 130 134 140 156 168 169 182 195 201 208 210 240 260 268 273 280 312 335 336 338 364 390 402 420 455 469 507 520 536 546 560 624 670 676 728 757 780 804 840 845 871 910 938 1005 1014 1040 1072 1092 1183 1340 1352 1365 1407 1456 1514 1560 1608 1680 1690 1742 1820 1876 2010 2028 2184 2271 2345 2366 2535 2613 2680 2704 2730 2814 3028 3120 3216 3380 3484 3549 3640 3752 3785 4020 4056 4355 4368 4542 4690 4732 5070 5226 5299 5360 5460 5628 5915 6056 6097 6760 6968 7035 7098 7280 7504 7570 8040 8112 8710 9084 9380 9464 9841 10140 10452 10598 10920 11256 11323 11355 11830 12112 12194 13065 13520 13936 14070 14196 15140 15897 16080 17420 17745 18168 18291 18760 18928 19682 20280 20904 21196 21840 22512 22646 22710 23660 24388 26130 26495 28140 28392 29523 30280 30485 31794 33969 34840 35490 36336 36582 37520 39364 40560 41808 42392 45292 45420 47320 48776 49205 50719 52260 52990 56280 56615 56784 59046 60560 60970 63588 67938 68887 69680 70980 73164 78728 79261 79485 84784 90584 90840 91455 94640 97552 98410 101438 104520 105980 112560 113230 118092 121940 127176 127933 135876 137774 141960 146328 147615 152157 157456 158522 158970 169845 181168 181680 182910 196820 202876 206661 209040 211960 226460 236184 237783 243880 253595 254352 255866 271752 275548 283920 292656 295230 304314 317044 317940 339690 344435 355033 365820 383799 393640 396305 405752 413322 423920 452920 472368 475566 487760 507190 511732 543504 551096 590460 608628 634088 635880 639665 659347 679380 688870 710066 731640 760785 767598 787280 792610 811504 826644 895531 905840 951132 1014380 1023464 1033305 1065099 1102192 1180920 1188915 1217256 1268176 1271760 1279330 1318694 1358760 1377740 1420132 1463280 1521570 1535196 1585220 1653288 1775165 1791062 1902264 1918995 1978041 2028760 2046928 2066610 2130198 2361840 2377830 2434512 2558660 2637388 2686593 2717520 2755480 2840264 3043140 3070392 3170440 3296735 3306576 3550330 3582124 3804528 3837990 3956082 4057520 4133220 4260396 4477655 4615429 4755660 5117320 5274776 5325495 5373186 5510960 5680528 6086280 6140784 6340880 6593470 7100660 7164248 7675980 7912164 8266440 8520792 8571511 8955310 9230858 9511320 9890205 10234640 10549552 10650990 10746372 12172560 13186940 13432965 13846287 14201320 14328496 15351960 15824328 16532880 17041584 17143022 17910620 18461716 19022640 19780410 21301980 21492744 23077145 25714533 26373880 26865930 27692574 28402640 30703920 31648656 34286044 35821240 36923432 39560820 42603960 42857555 42985488 46154290 51429066 52747760 53731860 55385148 60000577 68572088 69231435 71642480 73846864 79121640 85207920 85715110 92308580 102858132 107463720 110770296 120001154 128572665 137144176 138462870 158243280 171430220 180001731 184617160 205716264 214927440 221540592 240002308 257145330 276925740 300002885 342860440 360003462 369234320 411432528 480004616 514290660 553851480 600005770 685720880 720006924 900008655 960009232 1028581320 1107702960 1200011540 1440013848 1800017310 2057162640 2400023080 2880027696 3600034620 4800046160 7200069240 14400138480
- Sum of all divisors σ(n): 56142549504
- Sum of proper divisors (its aliquot sum) s(n): 41742411024
- 14400138480 is an abundant number, because the sum of its proper divisors (41742411024) is greater than itself. Its abundance is 27342272544
Bases of 14400138480
- Binary: 11010110100101000010101100111100002
- Hexadecimal: 0x35A50ACF0
- Base-36: 6M5GXYO
Squares and roots of 14400138480
- 14400138480 squared (144001384802) is 207363988243176710400
- 14400138480 cubed (144001384803) is 2986070146466836544870856192000
-
The
square root of 14400138480 is 120000.5769986129 -
The
cube root of 14400138480 is 2432.8885969391
Scales and comparisons
How big is 14400138480?- 14,400,138,480 seconds is equal to 457 years, 45 weeks, 5 days, 6 hours, 28 minutes.
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To count from 1 to 14,400,138,480 would take you about nine hundred fifteen 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 14400138480 cubic inches would be around 202.7 feet tall.
Recreational maths with 14400138480
- 14400138480 backwards is 08483100441
- The number of decimal digits it has is: 11
- The sum of 14400138480's digits is 33
- More coming soon!
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