131023783326992400
131,023,783,326,992,400 is an even composite number composed of five prime numbers multiplied together.
131023783326992400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 131023783326992400:
24 × 32 × 52 × 132 × 215357960761
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 215357960761)See below for interesting mathematical facts about the number 131023783326992400 from the Numbermatics database.
Names of 131023783326992400
- Cardinal: 131023783326992400 can be written as One hundred thirty-one quadrillion, twenty-three trillion, seven hundred eighty-three billion, three hundred twenty-six million, nine hundred ninety-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.310237833269924 × 1017
Factors of 131023783326992400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 215357960784
Divisors of 131023783326992400
- Number of divisors d(n): 270
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 60 65 72 75 78 80 90 100 104 117 120 130 144 150 156 169 180 195 200 208 225 234 240 260 300 312 325 338 360 390 400 450 468 507 520 585 600 624 650 676 720 780 845 900 936 975 1014 1040 1170 1200 1300 1352 1521 1560 1690 1800 1872 1950 2028 2340 2535 2600 2704 2925 3042 3120 3380 3600 3900 4056 4225 4680 5070 5200 5850 6084 6760 7605 7800 8112 8450 9360 10140 11700 12168 12675 13520 15210 15600 16900 20280 23400 24336 25350 30420 33800 38025 40560 46800 50700 60840 67600 76050 101400 121680 152100 202800 304200 608400 215357960761 430715921522 646073882283 861431843044 1076789803805 1292147764566 1722863686088 1938221646849 2153579607610 2584295529132 2799653489893 3230369411415 3445727372176 3876443293698 4307159215220 5168591058264 5383949019025 5599306979786 6460738822830 7752886587396 8398960469679 8614318430440 9691108234245 10337182116528 10767898038050 11198613959572 12921477645660 13998267449465 15505773174792 16151847057075 16797920939358 17228636860880 19382216468490 21535796076100 22397227919144 25196881409037 25842955291320 27996534898930 31011546349584 32303694114150 33595841878716 36395495368609 38764432936980 41994802348395 43071592152200 44794455838288 48455541171225 50393762818074 51685910582640 55993069797860 64607388228300 67191683757432 69991337247325 72790990737218 77528865873960 83989604696790 86143184304400 96911082342450 100787525636148 109186486105827 111986139595720 125984407045185 129214776456600 134383367514864 139982674494650 145581981474436 155057731747920 167979209393580 181977476843045 193822164684900 201575051272296 209974011741975 218372972211654 223972279191440 251968814090370 258429552913200 279965348989300 291163962948872 327559458317481 335958418787160 363954953686090 387644329369800 403150102544592 419948023483950 436745944423308 503937628180740 545932430529135 559930697978600 582327925897744 629922035225925 655118916634962 671916837574320 727909907372180 775288658739600 839896046967900 873491888846616 909887384215225 1007875256361480 1091864861058270 1119861395957200 1259844070451850 1310237833269924 1455819814744360 1637797291587405 1679792093935800 1746983777693232 1819774768430450 2015750512722960 2183729722116540 2519688140903700 2620475666539848 2729662152645675 2911639629488720 3275594583174810 3359584187871600 3639549536860900 4367459444233080 5039376281807400 5240951333079696 5459324305291350 6551189166349620 7279099073721800 8188986457937025 8734918888466160 10078752563614800 10918648610582700 13102378332699240 14558198147443600 16377972915874050 21837297221165400 26204756665398480 32755945831748100 43674594442330800 65511891663496200 131023783326992400
- Sum of all divisors σ(n): 492355461695338878
- Sum of proper divisors (its aliquot sum) s(n): 361331678368346478
- 131023783326992400 is an abundant number, because the sum of its proper divisors (361331678368346478) is greater than itself. Its abundance is 230307895041354078
Bases of 131023783326992400
- Binary: 1110100010111110101101111110011100101010101001000000100002
- Hexadecimal: 0x1D17D6FCE554810
- Base-36: ZU41Z3V2040
Squares and roots of 131023783326992400
- 131023783326992400 squared (1310237833269924002) is 17167231797318651627422429657760000
- 131023783326992400 cubed (1310237833269924003) is 2249315659336133319445532733225876593702121024000000
-
The
square root of 131023783326992400 is 361972075.3414445367 -
The
cube root of 131023783326992400 is 507906.0412321087
Scales and comparisons
How big is 131023783326992400?- 131,023,783,326,992,400 seconds is equal to 4,166,151,026 years, 32 weeks, 4 days, 1 hour.
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To count from 1 to 131,023,783,326,992,400 would take you about twelve billion, four hundred ninety-eight million, four hundred fifty-three thousand and seventy-nine 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 131023783326992400 cubic inches would be around 42325.5 feet tall.
Recreational maths with 131023783326992400
- 131023783326992400 backwards is 004299623387320131
- The number of decimal digits it has is: 18
- The sum of 131023783326992400's digits is 63
- More coming soon!
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