135738738278400
135,738,738,278,400 is an even composite number composed of five prime numbers multiplied together.
135738738278400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twelve divisors.
Prime factorization of 135738738278400:
216 × 3 × 52 × 1912 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 191 × 191 × 757)See below for interesting mathematical facts about the number 135738738278400 from the Numbermatics database.
Names of 135738738278400
- Cardinal: 135738738278400 can be written as One hundred thirty-five trillion, seven hundred thirty-eight billion, seven hundred thirty-eight million, two hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.357387382784 × 1014
Factors of 135738738278400
Divisors of 135738738278400
- Number of divisors d(n): 612
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 191 192 200 240 256 300 320 382 384 400 480 512 573 600 640 757 764 768 800 955 960 1024 1146 1200 1280 1514 1528 1536 1600 1910 1920 2048 2271 2292 2400 2560 2865 3028 3056 3072 3200 3785 3820 3840 4096 4542 4584 4775 4800 5120 5730 6056 6112 6144 6400 7570 7640 7680 8192 9084 9168 9550 9600 10240 11355 11460 12112 12224 12288 12800 14325 15140 15280 15360 16384 18168 18336 18925 19100 19200 20480 22710 22920 24224 24448 24576 25600 28650 30280 30560 30720 32768 36336 36481 36672 37850 38200 38400 40960 45420 45840 48448 48896 49152 51200 56775 57300 60560 61120 61440 65536 72672 72962 73344 75700 76400 76800 81920 90840 91680 96896 97792 98304 102400 109443 113550 114600 121120 122240 122880 144587 145344 145924 146688 151400 152800 153600 163840 181680 182405 183360 193792 195584 196608 204800 218886 227100 229200 242240 244480 245760 289174 290688 291848 293376 302800 305600 307200 327680 363360 364810 366720 387584 391168 409600 433761 437772 454200 458400 484480 488960 491520 547215 578348 581376 583696 586752 605600 611200 614400 722935 726720 729620 733440 775168 782336 819200 867522 875544 908400 912025 916800 968960 977920 983040 1094430 1156696 1162752 1167392 1173504 1211200 1222400 1228800 1445870 1453440 1459240 1466880 1550336 1564672 1638400 1735044 1751088 1816800 1824050 1833600 1937920 1955840 2168805 2188860 2313392 2325504 2334784 2347008 2422400 2444800 2457600 2736075 2891740 2906880 2918480 2933760 3100672 3129344 3470088 3502176 3614675 3633600 3648100 3667200 3875840 3911680 4337610 4377720 4626784 4651008 4669568 4694016 4844800 4889600 4915200 5472150 5783480 5813760 5836960 5867520 6201344 6258688 6940176 7004352 7229350 7267200 7296200 7334400 7751680 7823360 8675220 8755440 9253568 9302016 9339136 9388032 9689600 9779200 10844025 10944300 11566960 11627520 11673920 11735040 12402688 12517376 13880352 14008704 14458700 14534400 14592400 14668800 15503360 15646720 17350440 17510880 18507136 18604032 18678272 18776064 19379200 19558400 21688050 21888600 23133920 23255040 23347840 23470080 24805376 27616117 27760704 28017408 28917400 29068800 29184800 29337600 31006720 31293440 34700880 35021760 37014272 37208064 37356544 37552128 38758400 39116800 43376100 43777200 46267840 46510080 46695680 46940160 49610752 55232234 55521408 56034816 57834800 58137600 58369600 58675200 62013440 62586880 69401760 70043520 74028544 74416128 74713088 77516800 78233600 82848351 86752200 87554400 92535680 93020160 93391360 93880320 110464468 111042816 112069632 115669600 116275200 116739200 117350400 124026880 138080585 138803520 140087040 148057088 148832256 149426176 155033600 156467200 165696702 173504400 175108800 185071360 186040320 186782720 187760640 220928936 222085632 224139264 231339200 232550400 233478400 234700800 248053760 276161170 277607040 280174080 296114176 298852352 310067200 312934400 331393404 347008800 350217600 370142720 372080640 373565440 414241755 441857872 444171264 448278528 462678400 465100800 466956800 469401600 552322340 555214080 560348160 592228352 597704704 620134400 662786808 690402925 694017600 700435200 740285440 744161280 747130880 828483510 883715744 888342528 896557056 925356800 930201600 933913600 938803200 1104644680 1110428160 1120696320 1184456704 1195409408 1240268800 1325573616 1380805850 1388035200 1400870400 1480570880 1494261760 1656967020 1767431488 1776685056 1793114112 1850713600 1860403200 1867827200 2071208775 2209289360 2220856320 2241392640 2368913408 2390818816 2651147232 2761611700 2776070400 2801740800 2961141760 2988523520 3313934040 3534862976 3553370112 3586228224 3701427200 3720806400 3735654400 4142417550 4418578720 4441712640 4482785280 4737826816 5302294464 5523223400 5552140800 5603481600 5922283520 5977047040 6627868080 7069725952 7106740224 7172456448 7402854400 7471308800 8284835100 8837157440 8883425280 8965570560 9475653632 10604588928 11046446800 11104281600 11206963200 11844567040 11954094080 13255736160 14139451904 14213480448 14805708800 14942617600 16569670200 17674314880 17766850560 17931141120 21209177856 22092893600 22208563200 22413926400 23689134080 26511472320 28278903808 28426960896 29611417600 29885235200 33139340400 35348629760 35533701120 35862282240 42418355712 44185787200 44417126400 44827852800 47378268160 53022944640 56557807616 59222835200 59770470400 66278680800 70697259520 71067402240 84836711424 88371574400 88834252800 89655705600 106045889280 113115615232 118445670400 132557361600 141394519040 142134804480 169673422848 176743148800 177668505600 179311411200 212091778560 226231230464 236891340800 265114723200 282789038080 339346845696 353486297600 355337011200 424183557120 452462460928 530229446400 565578076160 678693691392 706972595200 710674022400 848367114240 904924921856 1060458892800 1131156152320 1357387382784 1413945190400 1696734228480 1809849843712 2120917785600 2262312304640 2714774765568 2827890380800 3393468456960 4241835571200 4524624609280 5429549531136 5655780761600 6786936913920 8483671142400 9049249218560 11311561523200 13573873827840 16967342284800 22623123046400 27147747655680 33934684569600 45246246092800 67869369139200 135738738278400
- Sum of all divisors σ(n): 451797623467736
- Sum of proper divisors (its aliquot sum) s(n): 316058885189336
- 135738738278400 is an abundant number, because the sum of its proper divisors (316058885189336) is greater than itself. Its abundance is 180320146910936
Bases of 135738738278400
- Binary: 111101101110100001000110100011100000000000000002
- Hexadecimal: 0x7B7423470000
- Base-36: 1C45IK3MDC
Squares and roots of 135738738278400
- 135738738278400 squared (1357387382784002) is 18425005069411973395906560000
- 135738738278400 cubed (1357387382784003) is 2500986940895105082174224213741666304000000
-
The
square root of 135738738278400 is 11650696.9009754949 -
The
cube root of 135738738278400 is 51392.6804364147
Scales and comparisons
How big is 135738738278400?- 135,738,738,278,400 seconds is equal to 4,316,072 years, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 135,738,738,278,400 would take you about ten million, seven hundred ninety thousand, one hundred eighty 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 135738738278400 cubic inches would be around 4282.7 feet tall.
Recreational maths with 135738738278400
- 135738738278400 backwards is 004872837837531
- The number of decimal digits it has is: 15
- The sum of 135738738278400's digits is 66
- More coming soon!
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