148531952800
148,531,952,800 is an even composite number composed of seven prime numbers multiplied together.
148531952800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 148531952800:
25 × 52 × 7 × 112 × 19 × 83 × 139
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 19 × 83 × 139)See below for interesting mathematical facts about the number 148531952800 from the Numbermatics database.
Names of 148531952800
- Cardinal: 148531952800 can be written as One hundred forty-eight billion, five hundred thirty-one million, nine hundred fifty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.485319528 × 1011
Factors of 148531952800
Divisors of 148531952800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 38 40 44 50 55 56 70 76 77 80 83 88 95 100 110 112 121 133 139 140 152 154 160 166 175 176 190 200 209 220 224 242 266 275 278 280 304 308 332 350 352 380 385 400 415 418 440 475 484 532 550 556 560 581 605 608 616 664 665 695 700 760 770 800 830 836 847 880 913 950 968 973 1045 1064 1100 1112 1120 1162 1210 1232 1328 1330 1390 1400 1463 1520 1529 1540 1577 1660 1672 1694 1760 1826 1900 1925 1936 1946 2075 2090 2128 2200 2224 2299 2324 2420 2464 2641 2656 2660 2780 2800 2905 2926 3025 3040 3058 3080 3154 3320 3325 3344 3388 3475 3652 3800 3850 3872 3892 4150 4180 4235 4256 4400 4448 4565 4598 4648 4840 4865 5225 5282 5320 5560 5600 5810 5852 6050 6116 6160 6308 6391 6640 6650 6688 6776 6950 7304 7315 7600 7645 7700 7784 7885 8300 8360 8470 8800 9130 9196 9296 9680 9730 10043 10450 10564 10640 10703 11039 11120 11495 11537 11620 11704 12100 12232 12320 12616 12782 13205 13280 13300 13552 13900 14525 14608 14630 15200 15290 15400 15568 15770 16093 16600 16720 16819 16940 17347 18260 18392 18487 18592 19360 19460 20086 20900 21128 21175 21280 21406 22078 22240 22825 22990 23074 23240 23408 24200 24325 24464 25232 25564 26410 26600 27104 27800 29050 29051 29216 29260 30580 30800 31136 31540 31955 32186 33200 33440 33638 33880 34694 36520 36575 36784 36974 38225 38920 39425 40172 41800 42256 42350 42812 44156 45650 45980 46148 46480 46816 48400 48650 48928 50215 50464 51128 52820 53200 53515 55195 55600 57475 57685 58100 58102 58520 61160 61600 63080 63910 64372 66025 66400 67276 67760 69388 70301 73040 73150 73568 73948 76450 77840 78850 80344 80465 80759 83600 84095 84512 84700 85624 86735 88312 91300 91960 92296 92435 92960 96800 97300 100430 102256 105640 106400 107030 110390 111200 114950 115370 116200 116204 117040 117733 121429 122320 126160 126907 127820 128744 132050 134552 135520 138776 140602 145255 146080 146300 147896 152900 155680 157700 159775 160688 160930 161518 167200 168190 169400 171248 173470 176624 182600 183920 184592 184870 190817 194600 200860 203357 204512 211280 214060 219203 220780 229900 230740 232400 232408 234080 235466 242858 244640 251075 252320 253814 255640 257488 264100 267575 269104 275975 277552 281204 288425 290510 292600 295792 305800 315400 319550 319561 321376 321860 323036 336380 338800 342496 346940 351505 353248 365200 367840 369184 369740 381634 389200 401720 402325 403795 406714 420475 422560 428120 433675 438406 441560 459800 461480 462175 464800 464816 470932 485716 502150 507628 511280 514976 528200 535150 538208 551950 555104 562408 576850 581020 585200 588665 591584 607145 611600 630800 634535 639100 639122 643720 646072 672760 677600 693880 703010 726275 730400 739480 763268 778400 803440 804650 807590 813428 840950 856240 867350 876812 883120 888349 919600 922960 924350 929632 941864 954085 971432 1004300 1015256 1016785 1022560 1056400 1070300 1096015 1103900 1124816 1153700 1162040 1170400 1177330 1214290 1223200 1261600 1269070 1278200 1278244 1287440 1292144 1335719 1345520 1387760 1395977 1406020 1452550 1478960 1526536 1534421 1597805 1606880 1609300 1615180 1626856 1681900 1712480 1734700 1753624 1757525 1766240 1776698 1839200 1845920 1848700 1883728 1908170 1942864 2008600 2018975 2030512 2033570 2112800 2140600 2192030 2207800 2236927 2249632 2307400 2324080 2354660 2411233 2428580 2538140 2556400 2556488 2574880 2584288 2671438 2691040 2775520 2791954 2812040 2905100 2943325 2957920 3035725 3053072 3068842 3172675 3195610 3218600 3230360 3253712 3363800 3469400 3507248 3515050 3553396 3697400 3767456 3816340 3885728 4017200 4037950 4061024 4067140 4281200 4384060 4415600 4441745 4473854 4614800 4648160 4709320 4770425 4822466 4857160 5076280 5083925 5112800 5112976 5342876 5480075 5583908 5624080 5810200 5886650 6071450 6106144 6137684 6345350 6391220 6437200 6460720 6507424 6678595 6727600 6938800 6979885 7014496 7030100 7106792 7394800 7632680 7672105 7989025 8034400 8075900 8134280 8562400 8768120 8831200 8883490 8947708 9229600 9418640 9540850 9644932 9714320 9771839 10152560 10167850 10225952 10685752 10960150 11167816 11184635 11248160 11620400 11773300 12056165 12142900 12275368 12690700 12782440 12874400 12921440 13357190 13455200 13877600 13959770 14060200 14213584 14789600 15265360 15344210 15978050 16151800 16268560 16878631 17536240 17766980 17895416 18837280 19081700 19289864 19428640 19543678 20305120 20335700 21371504 21920300 22208725 22335632 22369270 23240800 23546600 24112330 24285800 24550736 25381400 25564880 26523563 26714380 27919540 28120400 28427168 30530720 30688420 31956100 32303600 32537120 33392975 33757262 34899425 35072480 35533960 35790832 38163400 38360525 38579728 39087356 40671400 42743008 43840600 44417450 44671264 44738540 47093200 48224660 48571600 48859195 49101472 50762800 51129760 53047126 53428760 55839080 55923175 56240800 60280825 61376840 63912200 64607200 66785950 67514524 69798850 71067920 71581664 76326800 76721050 77159456 78174712 81342800 84393155 87681200 88834900 89477080 94186400 96449320 97143200 97718390 101525600 106094252 106857520 111678160 111846350 120561650 122753680 127824400 132617815 133571900 135029048 139597700 142135840 152653600 153442100 156349424 162685600 168786310 175362400 177669800 178954160 185664941 192898640 195436780 212188504 213715040 223356320 223692700 241123300 244295975 245507360 255648800 265235630 267143800 270058096 279195400 306884200 312698848 337572620 355339600 357908320 371329882 385797280 390873560 421965775 424377008 447385400 482246600 488591950 530471260 534287600 540116192 558390800 613768400 663089075 675145240 710679200 742659764 781747120 843931550 848754016 894770800 928324705 964493200 977183900 1060942520 1068575200 1116781600 1227536800 1326178150 1350290480 1485319528 1563494240 1687863100 1789541600 1856649410 1928986400 1954367800 2121885040 2652356300 2700580960 2970639056 3375726200 3713298820 3908735600 4243770080 4641623525 5304712600 5941278112 6751452400 7426597640 7817471200 9283247050 10609425200 13502904800 14853195280 18566494100 21218850400 29706390560 37132988200 74265976400 148531952800
- Sum of all divisors σ(n): 488743718400
- Sum of proper divisors (its aliquot sum) s(n): 340211765600
- 148531952800 is an abundant number, because the sum of its proper divisors (340211765600) is greater than itself. Its abundance is 191679812800
Bases of 148531952800
- Binary: 100010100101010011000110111100101000002
- Hexadecimal: 0x229531BCA0
- Base-36: 1W8G389S
Squares and roots of 148531952800
- 148531952800 squared (1485319528002) is 22061741002581427840000
- 148531952800 cubed (1485319528003) is 3276873473281249318087485952000000
-
The
square root of 148531952800 is 385398.4338317943 -
The
cube root of 148531952800 is 5295.9022889303
Scales and comparisons
How big is 148531952800?- 148,531,952,800 seconds is equal to 4,722 years, 44 weeks, 3 days, 19 hours, 46 minutes, 40 seconds.
-
To count from 1 to 148,531,952,800 would take you about nine thousand, four hundred forty-five 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 148531952800 cubic inches would be around 441.3 feet tall.
Recreational maths with 148531952800
- 148531952800 backwards is 008259135841
- The number of decimal digits it has is: 12
- The sum of 148531952800's digits is 46
- More coming soon!
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