132907981440
132,907,981,440 is an even composite number composed of seven prime numbers multiplied together.
132907981440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 132907981440:
27 × 3 × 5 × 132 × 31 × 73 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 31 × 73 × 181)See below for interesting mathematical facts about the number 132907981440 from the Numbermatics database.
Names of 132907981440
- Cardinal: 132907981440 can be written as One hundred thirty-two billion, nine hundred seven million, nine hundred eighty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3290798144 × 1011
Factors of 132907981440
Divisors of 132907981440
- Number of divisors d(n): 768
-
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 96 104 120 124 128 130 146 155 156 160 169 181 186 192 195 208 219 240 248 260 292 310 312 320 338 362 365 372 384 390 403 416 438 465 480 496 507 520 543 584 620 624 640 676 724 730 744 780 806 832 845 876 905 930 949 960 992 1014 1040 1086 1095 1168 1209 1240 1248 1352 1448 1460 1488 1560 1612 1664 1690 1752 1810 1860 1898 1920 1984 2015 2028 2080 2172 2190 2263 2336 2353 2418 2480 2496 2535 2704 2715 2847 2896 2920 2976 3120 3224 3380 3504 3620 3720 3796 3968 4030 4056 4160 4344 4380 4526 4672 4706 4745 4836 4960 4992 5070 5239 5408 5430 5611 5694 5792 5840 5952 6045 6240 6448 6760 6789 7008 7059 7240 7440 7592 8060 8112 8320 8688 8760 9052 9344 9412 9490 9672 9920 10140 10478 10816 10860 11222 11315 11388 11584 11680 11765 11904 12090 12337 12480 12896 13213 13520 13578 14016 14118 14235 14480 14880 15184 15717 16120 16224 16833 17376 17520 18104 18824 18980 19344 19840 20280 20956 21632 21720 22444 22630 22776 23168 23360 23530 24180 24674 24960 25792 26195 26426 27040 27156 28032 28055 28236 28470 28960 29419 29760 30368 30589 31434 32240 32448 33666 33945 34752 35040 35295 36208 37011 37648 37960 38688 39639 40560 41912 43440 44888 45260 45552 46720 47060 48360 49348 51584 52390 52852 54080 54312 56110 56472 56940 57920 58838 59520 60736 61178 61685 62868 64480 64896 66065 67332 67890 69504 70080 70590 72416 72943 74022 75296 75920 77376 78585 79278 81120 83824 84165 86880 88257 89776 90520 91104 91767 94120 96720 98696 104780 105704 108160 108624 112220 112944 113880 115840 117676 121472 122356 123370 125736 128960 132130 134664 135780 140160 141180 144832 145886 147095 148044 150592 151840 152945 154752 157170 158556 162240 167648 168330 171769 173760 176514 179552 181040 182208 183534 185055 188240 193440 197392 198195 209560 211408 217248 218829 224440 225888 227760 235352 244712 246740 251472 257920 264260 269328 271560 282360 289664 291772 294190 296088 301184 303680 305890 314340 317112 324480 335296 336660 343538 347520 353028 359104 362080 364416 364715 367068 370110 376480 382447 386880 394784 396390 409603 419120 422816 434496 437658 441285 448880 451776 455520 458835 470704 489424 493480 502944 515307 528520 538656 543120 564720 583544 588380 592176 607360 611780 628680 634224 670592 673320 687076 706056 718208 724160 729430 734136 740220 752960 764894 773760 789568 792780 819206 838240 845632 858845 868992 875316 882570 897760 903552 911040 917670 941408 948259 978848 986960 1005888 1030614 1057040 1077312 1086240 1094145 1129440 1147341 1167088 1176760 1184352 1223560 1228809 1257360 1268448 1346640 1374152 1412112 1448320 1458860 1468272 1480440 1505920 1529788 1579136 1585560 1638412 1676480 1691264 1717690 1750632 1765140 1795520 1822080 1835340 1882816 1896518 1912235 1957696 1973920 2011776 2048015 2061228 2114080 2154624 2172480 2188290 2232997 2258880 2294682 2334176 2353520 2368704 2447120 2457618 2514720 2536896 2576535 2693280 2748304 2824224 2844777 2917720 2936544 2960880 3059576 3171120 3276824 3352960 3435380 3501264 3530280 3591040 3670680 3765632 3793036 3824470 3915392 3947840 4096030 4122456 4228160 4344960 4376580 4465994 4517760 4589364 4668352 4707040 4737408 4741295 4894240 4915236 5029440 5073792 5153070 5324839 5386560 5496608 5648448 5689554 5736705 5835440 5873088 5921760 6119152 6144045 6342240 6553648 6698991 6870760 7002528 7060560 7341360 7586072 7648940 7895680 8192060 8244912 8456320 8753160 8931988 9178728 9336704 9414080 9482590 9788480 9830472 10058880 10306140 10649678 10773120 10993216 11164985 11296896 11379108 11473410 11670880 11746176 11843520 12238304 12288090 12684480 13107296 13397982 13741520 14005056 14121120 14223885 14682720 15172144 15297880 15974517 16384120 16489824 17506320 17863976 18357456 18828160 18965180 19576960 19660944 20612280 21299356 21986432 22329970 22758216 22946820 23341760 23687040 24476608 24576180 25368960 26214592 26624195 26795964 27483040 28010112 28242240 28447770 29365440 30344288 30595760 31949034 32768240 32979648 33494955 35012640 35727952 36714912 37930360 39321888 41224560 42598712 44659940 45516432 45893640 46683520 48953216 49152360 52429184 53248390 53591928 54966080 56484480 56895540 58730880 60688576 61191520 63898068 65536480 65959296 66989910 69222907 70025280 71455904 73429824 75860720 78643776 79872585 82449120 85197424 89319880 91032864 91787280 98304720 106496780 107183856 109932160 113791080 121377152 122383040 127796136 131072960 133979820 138445814 140050560 142911808 146859648 151721440 157287552 159745170 164898240 170394848 178639760 182065728 183574560 196609440 207668721 212993560 214367712 227582160 244766080 255592272 262145920 267959640 276891628 285823616 303442880 319490340 329796480 340789696 346114535 357279520 364131456 367149120 393218880 415337442 425987120 428735424 455164320 511184544 535919280 553783256 606885760 638980680 681579392 692229070 714559040 734298240 786437760 830674884 851974240 857470848 910328640 1022369088 1038343605 1071838560 1107566512 1277961360 1384458140 1429118080 1661349768 1703948480 1820657280 2044738176 2076687210 2143677120 2215133024 2555922720 2768916280 3322699536 3407896960 4153374420 4287354240 4430266048 5111845440 5537832560 6645399072 8306748840 8860532096 10223690880 11075665120 13290798144 16613497680 22151330240 26581596288 33226995360 44302660480 66453990720 132907981440
- Sum of all divisors σ(n): 482675880960
- Sum of proper divisors (its aliquot sum) s(n): 349767899520
- 132907981440 is an abundant number, because the sum of its proper divisors (349767899520) is greater than itself. Its abundance is 216859918080
Bases of 132907981440
- Binary: 11110111100011110111011011010100000002
- Hexadecimal: 0x1EF1EEDA80
- Base-36: 1P21ZATC
Squares and roots of 132907981440
- 132907981440 squared (1329079814402) is 17664531530455384473600
- 132907981440 cubed (1329079814403) is 2347757228796059034365292969984000
-
The
square root of 132907981440 is 364565.4693467279 -
The
cube root of 132907981440 is 5103.2912427331
Scales and comparisons
How big is 132907981440?- 132,907,981,440 seconds is equal to 4,226 years, 3 weeks, 1 day, 19 hours, 44 minutes.
-
To count from 1 to 132,907,981,440 would take you about eight thousand, four hundred fifty-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 132907981440 cubic inches would be around 425.3 feet tall.
Recreational maths with 132907981440
- 132907981440 backwards is 044189709231
- 132907981440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132907981440's digits is 48
- More coming soon!
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