137145046817920
137,145,046,817,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 137145046817920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
137145046817920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137145046817920:
27 × 5 × 313 × 43 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 31 × 31 × 31 × 43 × 409 × 409)See below for interesting mathematical facts about the number 137145046817920 from the Numbermatics database.
Names of 137145046817920
- Cardinal: 137145046817920 can be written as One hundred thirty-seven trillion, one hundred forty-five billion, forty-six million, eight hundred seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3714504681792 × 1014
Factors of 137145046817920
Divisors of 137145046817920
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 40 43 62 64 80 86 124 128 155 160 172 215 248 310 320 344 409 430 496 620 640 688 818 860 961 992 1240 1333 1376 1636 1720 1922 1984 2045 2480 2666 2752 3272 3440 3844 3968 4090 4805 4960 5332 5504 6544 6665 6880 7688 8180 9610 9920 10664 12679 13088 13330 13760 15376 16360 17587 19220 19840 21328 25358 26176 26660 27520 29791 30752 32720 35174 38440 41323 42656 50716 52352 53320 59582 61504 63395 65440 70348 76880 82646 85312 87935 101432 106640 119164 123008 126790 130880 140696 148955 153760 165292 167281 170624 175870 202864 206615 213280 238328 253580 261760 281392 297910 307520 330584 334562 351740 393049 405728 413230 426560 476656 507160 545197 562784 595820 615040 661168 669124 703480 786098 811456 826460 836405 853120 953312 1014320 1090394 1125568 1191640 1281013 1322336 1338248 1406960 1572196 1622912 1652920 1672810 1906624 1965245 2028640 2180788 2251136 2383280 2562026 2644672 2676496 2725985 2813920 3144392 3305840 3345620 3813248 3930490 4057280 4361576 4766560 5124052 5185711 5289344 5352992 5451970 5627840 6288784 6405065 6611680 6691240 7193083 7860980 8114560 8723152 9533120 10248104 10371422 10705984 10903940 11255680 12184519 12577568 12810130 13223360 13382480 14386166 15721960 16901107 17446304 19066240 20496208 20742844 21411968 21807880 24369038 25155136 25620260 25928555 26446720 26764960 28772332 31443920 33802214 34892608 35965415 40992416 41485688 43615760 48738076 50310272 51240520 51857110 53529920 57544664 60922595 62887840 67604428 69785216 71930830 81984832 82971376 84505535 87231520 97476152 102481040 103714220 107059840 115089328 121845190 125775680 135208856 143861660 160757041 163969664 165942752 169011070 174463040 194952304 204962080 207428440 222985573 230178656 243690380 251551360 270417712 287723320 321514082 331885504 338022140 348926080 389904608 409924160 414856880 445971146 460357312 487380760 523934317 540835424 575446640 643028164 663771008 676044280 779809216 803785205 819848320 829713760 891942292 920714624 974761520 1047868634 1081670848 1114927865 1150893280 1286056328 1352088560 1559618432 1607570410 1659427520 1783884584 1949523040 2095737268 2163341696 2229855730 2301786560 2572112656 2619671585 2704177120 3215140820 3318855040 3567769168 3899046080 4191474536 4459711460 4603573120 4983468271 5144225312 5239343170 5408354240 6430281640 6912552763 7135538336 7798092160 8382949072 8919422920 9966936542 10288450624 10478686340 10816708480 12860563280 13825105526 14271076672 16765898144 17838845840 19933873084 20576901248 20957372680 24917341355 25721126560 27650211052 28542153344 33531796288 34562763815 35677691680 39867746168 41914745360 49834682710 51442253120 55300422104 67063592576 69125527630 71355383360 79735492336 83829490720 99669365420 102884506240 110600844208 138251055260 142710766720 159470984672 167658981440 199338730840 214289135653 221201688416 276502110520 318941969344 335317962880 398677461680 428578271306 442403376832 553004221040 637883938688 797354923360 857156542612 884806753664 1071445678265 1106008442080 1594709846720 1714313085224 2142891356530 2212016884160 3189419693440 3428626170448 4285782713060 4424033768320 6857252340896 8571565426120 13714504681792 17143130852240 27429009363584 34286261704480 68572523408960 137145046817920
- Sum of all divisors σ(n): 347519286766080
- Sum of proper divisors (its aliquot sum) s(n): 210374239948160
- 137145046817920 is an abundant number, because the sum of its proper divisors (210374239948160) is greater than itself. Its abundance is 73229193130240
Bases of 137145046817920
- Binary: 111110010111011100100011100110001011100100000002
- Hexadecimal: 0x7CBB91CC5C80
- Base-36: 1CM3KBW874
Squares and roots of 137145046817920
- 137145046817920 squared (1371450468179202) is 18808763866689468717633126400
- 137145046817920 cubed (1371450468179203) is 2579528801084329196838006384778301145088000
-
The
square root of 137145046817920 is 11710894.3645615727 -
The
cube root of 137145046817920 is 51569.5540323607
Scales and comparisons
How big is 137145046817920?- 137,145,046,817,920 seconds is equal to 4,360,788 years, 14 weeks, 18 hours, 18 minutes, 40 seconds.
-
To count from 1 to 137,145,046,817,920 would take you about ten million, nine hundred one thousand, nine hundred seventy 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 137145046817920 cubic inches would be around 4297.5 feet tall.
Recreational maths with 137145046817920
- 137145046817920 backwards is 029718640541731
- The number of decimal digits it has is: 15
- The sum of 137145046817920's digits is 58
- More coming soon!
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