138131466560
138,131,466,560 is an even composite number composed of seven prime numbers multiplied together.
138131466560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138131466560:
26 × 5 × 31 × 37 × 41 × 67 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 31 × 37 × 41 × 67 × 137)See below for interesting mathematical facts about the number 138131466560 from the Numbermatics database.
Names of 138131466560
- Cardinal: 138131466560 can be written as One hundred thirty-eight billion, one hundred thirty-one million, four hundred sixty-six thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3813146656 × 1011
Factors of 138131466560
Divisors of 138131466560
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 37 40 41 62 64 67 74 80 82 124 134 137 148 155 160 164 185 205 248 268 274 296 310 320 328 335 370 410 496 536 548 592 620 656 670 685 740 820 992 1072 1096 1147 1184 1240 1271 1312 1340 1370 1480 1517 1640 1984 2077 2144 2192 2294 2368 2479 2480 2542 2624 2680 2740 2747 2960 3034 3280 4154 4247 4288 4384 4588 4958 4960 5069 5084 5360 5480 5494 5617 5735 5920 6068 6355 6560 7585 8308 8494 8768 9176 9179 9916 9920 10138 10168 10385 10720 10960 10988 11234 11470 11840 12136 12395 12710 13120 13735 15170 16616 16988 18352 18358 19832 20276 20336 20770 21235 21440 21920 21976 22468 22940 24272 24790 25345 25420 27470 28085 30340 33232 33976 36704 36716 39664 40552 40672 41540 42470 43840 43952 44936 45880 45895 47027 48544 49580 50690 50840 54940 56170 60680 66464 67952 73408 73432 76849 79328 81104 81344 83080 84940 85157 87904 89872 91760 91790 94054 97088 99160 101380 101639 101680 109880 112340 121360 132928 135904 146864 153698 157139 158656 162208 166160 169880 170314 174127 175808 179744 183520 183580 188108 198320 202760 203278 203360 207829 219760 224680 235135 242720 271808 284549 293728 307396 314278 324416 332320 339623 339760 340628 348254 359488 367040 367160 376216 376339 384245 396640 405520 406556 406720 415658 425785 439520 449360 470270 485440 508195 569098 587456 614792 628556 664640 679246 679520 681256 696508 734320 752432 752678 768490 785695 793280 811040 813112 831316 851570 870635 879040 898720 940540 1016390 1039145 1138196 1229584 1257112 1358492 1359040 1362512 1393016 1422745 1468640 1504864 1505356 1536980 1571390 1622080 1626224 1662632 1698115 1703140 1741270 1797440 1881080 1881695 2032780 2078290 2276392 2459168 2514224 2716984 2725024 2786032 2845490 2937280 3009728 3010712 3073960 3142780 3150809 3252448 3325264 3396230 3406280 3482540 3762160 3763390 4065560 4156580 4552784 4918336 5028448 5433968 5450048 5572064 5690980 6021424 6147920 6285560 6301618 6442699 6504896 6650528 6792460 6812560 6965080 7524320 7526780 8131120 8313160 9105568 10056896 10528313 10867936 11144128 11381960 11666509 12042848 12295840 12571120 12603236 12885398 13301056 13584920 13625120 13924543 13930160 15048640 15053560 15754045 16262240 16626320 18211136 21056626 21735872 22763920 23333018 24085696 24591680 25142240 25206472 25770796 27169840 27250240 27849086 27860320 30107120 31508090 32213495 32524480 33252640 42113252 45527840 46666036 50284480 50412944 51541592 52641565 54339680 55698172 55720640 58332545 60214240 63016180 64426990 66505280 69622715 84226504 91055680 93332072 100825888 103083184 105283130 108679360 111396344 116665090 120428480 126032360 128853980 139245430 168453008 186664144 201651776 206166368 210566260 222792688 233330180 252064720 257707960 278490860 336906016 373328288 412332736 421132520 431660833 445585376 466660360 504129440 515415920 556981720 673812032 746656576 842265040 863321666 891170752 933320720 1008258880 1030831840 1113963440 1684530080 1726643332 1866641440 2061663680 2158304165 2227926880 3369060160 3453286664 3733282880 4316608330 4455853760 6906573328 8633216660 13813146656 17266433320 27626293312 34532866640 69065733280 138131466560
- Sum of all divisors σ(n): 365195851776
- Sum of proper divisors (its aliquot sum) s(n): 227064385216
- 138131466560 is an abundant number, because the sum of its proper divisors (227064385216) is greater than itself. Its abundance is 88932918656
Bases of 138131466560
- Binary: 100000001010010100011011101001010000002
- Hexadecimal: 0x202946E940
- Base-36: 1RGFWPQ8
Squares and roots of 138131466560
- 138131466560 squared (1381314665602) is 19080302054016398233600
- 138131466560 cubed (1381314665603) is 2635590105129065426296161468416000
-
The
square root of 138131466560 is 371660.4183391069 -
The
cube root of 138131466560 is 5169.2897292919
Scales and comparisons
How big is 138131466560?- 138,131,466,560 seconds is equal to 4,392 years, 7 weeks, 6 days, 19 hours, 49 minutes, 20 seconds.
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To count from 1 to 138,131,466,560 would take you about eight thousand, seven hundred eighty-four 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 138131466560 cubic inches would be around 430.8 feet tall.
Recreational maths with 138131466560
- 138131466560 backwards is 065664131831
- The number of decimal digits it has is: 12
- The sum of 138131466560's digits is 44
- More coming soon!
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