135744037520
135,744,037,520 is an even composite number composed of seven prime numbers multiplied together.
135744037520 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 135744037520:
24 × 5 × 72 × 13 × 29 × 31 × 2963
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 29 × 31 × 2963)See below for interesting mathematical facts about the number 135744037520 from the Numbermatics database.
Names of 135744037520
- Cardinal: 135744037520 can be written as One hundred thirty-five billion, seven hundred forty-four million, thirty-seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3574403752 × 1011
Factors of 135744037520
Divisors of 135744037520
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 29 31 35 40 49 52 56 58 62 65 70 80 91 98 104 112 116 124 130 140 145 155 182 196 203 208 217 232 245 248 260 280 290 310 364 377 392 403 406 434 455 464 490 496 520 560 580 620 637 728 754 784 806 812 868 899 910 980 1015 1040 1085 1160 1240 1274 1421 1456 1508 1519 1612 1624 1736 1798 1820 1885 1960 2015 2030 2170 2320 2480 2548 2639 2821 2842 2963 3016 3038 3185 3224 3248 3472 3596 3640 3770 3920 4030 4060 4340 4495 5096 5278 5642 5684 5926 6032 6076 6293 6370 6448 7105 7192 7280 7540 7595 8060 8120 8680 8990 10192 10556 11284 11368 11687 11852 12152 12586 12740 13195 14105 14210 14384 14815 15080 15190 16120 16240 17360 17980 18473 19747 20741 21112 22568 22736 23374 23704 24304 25172 25480 26390 28210 28420 29630 30160 30380 31465 32240 35960 36946 38519 39494 41482 42224 44051 45136 46748 47408 50344 50960 52780 56420 56840 58435 59260 60760 62930 71920 73892 77038 78988 81809 82964 85927 88102 91853 92365 93496 98735 100688 103705 105560 112840 113680 116870 118520 121520 125860 145187 147784 154076 157976 163618 165928 171854 176204 183706 184730 186992 192595 197470 207410 211120 220255 225680 233740 237040 251720 269633 290374 295568 308152 315952 327236 331856 343708 352408 367412 369460 385190 394940 409045 414820 429635 440510 459265 467480 503440 539266 572663 580748 601489 616304 642971 654472 687416 704816 725935 734824 738920 770380 789880 818090 829640 859270 881020 918530 934960 1078532 1117051 1145326 1161496 1194089 1202978 1285942 1308944 1348165 1374832 1451870 1469648 1477840 1540760 1579760 1636180 1659280 1718540 1762040 1837060 1887431 2157064 2234102 2290652 2322992 2388178 2405956 2571884 2663737 2696330 2863315 2903740 3007445 3081520 3214855 3272360 3437080 3524080 3674120 3774862 4210423 4314128 4468204 4500797 4581304 4776356 4811912 5143768 5327474 5392660 5585255 5726630 5807480 5970445 6014890 6429710 6544720 6874160 7348240 7549724 7819357 8358623 8420846 8936408 9001594 9162608 9437155 9552712 9623824 10287536 10654948 10785320 11170510 11453260 11614960 11940890 12029780 12859420 13318685 15099448 15638714 16717246 16841692 17872816 18003188 18646159 18874310 19105424 21052115 21309896 21570640 22341020 22503985 22906520 23881780 24059560 25718840 26637370 30198896 31277428 33434492 33683384 34628581 36006376 37292318 37748620 39096785 41793115 42104230 42619792 44682040 45007970 45813040 47763560 48119120 51437680 53274740 54735499 58510361 62554856 66868984 67366768 69257162 72012752 74584636 75497240 78193570 83586230 84208460 89364080 90015940 93230795 95527120 106549480 109470998 117020722 125109712 130523113 133737968 138514324 149169272 150994480 156387140 167172460 168416920 173142905 180031880 186461590 213098960 218941996 234041444 242400067 261046226 273677495 277028648 292551805 298338544 312774280 334344920 336833840 346285810 360063760 372923180 437883992 468082888 484800134 522092452 547354990 554057296 585103610 625548560 652615565 668689840 692571620 745846360 875767984 936165776 969600268 1044184904 1094709980 1170207220 1212000335 1305231130 1385143240 1491692720 1696800469 1939200536 2088369808 2189419960 2340414440 2424000670 2610462260 2770286480 3393600938 3878401072 4378839920 4680828880 4848001340 5220924520 6787201876 8484002345 9696002680 10441849040 13574403752 16968004690 19392005360 27148807504 33936009380 67872018760 135744037520
- Sum of all divisors σ(n): 422342968320
- Sum of proper divisors (its aliquot sum) s(n): 286598930800
- 135744037520 is an abundant number, because the sum of its proper divisors (286598930800) is greater than itself. Its abundance is 150854893280
Bases of 135744037520
- Binary: 11111100110101111100110100010100100002
- Hexadecimal: 0x1F9AF9A290
- Base-36: 1QCYHTOW
Squares and roots of 135744037520
- 135744037520 squared (1357440375202) is 18426443722231167750400
- 135744037520 cubed (1357440375203) is 2501279867990716093223711595008000
-
The
square root of 135744037520 is 368434.5769875567 -
The
cube root of 135744037520 is 5139.3349217951
Scales and comparisons
How big is 135744037520?- 135,744,037,520 seconds is equal to 4,316 years, 12 weeks, 3 days, 13 hours, 5 minutes, 20 seconds.
-
To count from 1 to 135,744,037,520 would take you about eight thousand, six hundred thirty-two 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 135744037520 cubic inches would be around 428.3 feet tall.
Recreational maths with 135744037520
- 135744037520 backwards is 025730447531
- The number of decimal digits it has is: 12
- The sum of 135744037520's digits is 41
- More coming soon!
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