137044688896000

Names of 137044688896000

• Cardinal: 137044688896000 can be written as One hundred thirty-seven trillion, forty-four billion, six hundred eighty-eight million, eight hundred ninety-six thousand.

Scientific notation

• Scientific notation: 1.37044688896 × 10¹⁴

Factors of 137044688896000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 55

Divisors of 137044688896000

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 85 100 124 125 128 136 155 160 170 200 248 250 256 272 310 320 340 400 425 496 500 512 527 544 620 640 680 775 800 850 961 992 1000 1024 1054 1088 1240 1280 1360 1550 1600 1700 1922 1984 2000 2048 2108 2125 2176 2480 2560 2635 2720 3100 3200 3400 3844 3875 3968 4000 4096 4216 4250 4352 4805 4960 5120 5270 5440 6200 6400 6800 7688 7750 7936 8000 8192 8432 8500 8704 9610 9920 10240 10540 10880 12400 12800 13175 13600 15376 15500 15872 16000 16337 16384 16864 17000 17408 19220 19840 20480 21080 21760 24025 24800 25600 26350 27200 30752 31000 31744 32000 32674 32768 33728 34000 34816 38440 39680 40960 42160 43520 48050 49600 51200 52700 54400 61504 62000 63488 64000 65348 65536 65875 67456 68000 69632 76880 79360 81685 81920 84320 87040 96100 99200 102400 105400 108800 120125 123008 124000 126976 128000 130696 131072 131750 134912 136000 139264 153760 158720 163370 163840 168640 174080 192200 198400 204800 210800 217600 240250 246016 248000 253952 256000 261392 262144 263500 269824 272000 278528 307520 317440 326740 327680 337280 348160 384400 396800 408425 409600 421600 435200 480500 492032 496000 507904 512000 522784 524288 527000 539648 544000 557056 615040 634880 653480 655360 674560 696320 768800 793600 816850 819200 843200 870400 961000 984064 992000 1015808 1024000 1045568 1048576 1054000 1079296 1088000 1114112 1230080 1269760 1306960 1310720 1349120 1392640 1537600 1587200 1633700 1638400 1686400 1740800 1922000 1968128 1984000 2031616 2042125 2048000 2091136 2097152 2108000 2158592 2176000 2228224 2460160 2539520 2613920 2621440 2698240 2785280 3075200 3174400 3267400 3276800 3372800 3481600 3844000 3936256 3968000 4063232 4084250 4096000 4182272 4194304 4216000 4317184 4352000 4456448 4920320 5079040 5227840 5242880 5396480 5570560 6150400 6348800 6534800 6553600 6745600 6963200 7688000 7872512 7936000 8126464 8168500 8192000 8364544 8388608 8432000 8634368 8704000 8912896 9840640 10158080 10455680 10485760 10792960 11141120 12300800 12697600 13069600 13107200 13491200 13926400 15376000 15745024 15872000 16252928 16337000 16384000 16729088 16777216 16864000 17268736 17408000 17825792 19681280 20316160 20911360 20971520 21585920 22282240 24601600 25395200 26139200 26214400 26982400 27852800 30752000 31490048 31744000 32505856 32674000 32768000 33458176 33554432 33728000 34537472 34816000 35651584 39362560 40632320 41822720 41943040 43171840 44564480 49203200 50790400 52278400 52428800 53964800 55705600 61504000 62980096 63488000 65011712 65348000 65536000 66916352 67108864 67456000 69074944 69632000 71303168 78725120 81264640 83645440 83886080 86343680 89128960 98406400 101580800 104556800 104857600 107929600 111411200 123008000 125960192 126976000 130023424 130696000 131072000 133832704 134912000 138149888 139264000 142606336 157450240 162529280 167290880 167772160 172687360 178257920 196812800 203161600 209113600 209715200 215859200 222822400 246016000 251920384 253952000 260046848 261392000 262144000 267665408 269824000 276299776 278528000 285212672 314900480 325058560 334581760 335544320 345374720 356515840 393625600 406323200 418227200 419430400 431718400 445644800 492032000 503840768 507904000 520093696 522784000 524288000 535330816 539648000 552599552 557056000 570425344 629800960 650117120 669163520 690749440 713031680 787251200 812646400 836454400 838860800 863436800 891289600 984064000 1007681536 1015808000 1040187392 1045568000 1048576000 1070661632 1079296000 1105199104 1114112000 1140850688 1259601920 1300234240 1338327040 1381498880 1426063360 1574502400 1625292800 1672908800 1677721600 1726873600 1782579200 1968128000 2015363072 2031616000 2080374784 2091136000 2097152000 2141323264 2158592000 2210398208 2228224000 2519203840 2600468480 2676654080 2762997760 2852126720 3149004800 3250585600 3345817600 3453747200 3565158400 3936256000 4030726144 4063232000 4182272000 4194304000 4282646528 4317184000 4420796416 4456448000 5038407680 5200936960 5353308160 5525995520 5704253440 6298009600 6501171200 6691635200 6907494400 7130316800 7872512000 8061452288 8126464000 8364544000 8388608000 8565293056 8634368000 8841592832 8912896000 10076815360 10401873920 10706616320 11051991040 12596019200 13002342400 13383270400 13814988800 14260633600 15745024000 16122904576 16252928000 16729088000 17130586112 17268736000 17683185664 17825792000 20153630720 21413232640 22103982080 25192038400 26004684800 26766540800 27629977600 28521267200 31490048000 32245809152 32505856000 33458176000 34261172224 34537472000 35366371328 35651584000 40307261440 42826465280 44207964160 50384076800 52009369600 53533081600 55259955200 62980096000 64491618304 65011712000 66916352000 68522344448 69074944000 71303168000 80614522880 85652930560 88415928320 100768153600 107066163200 110519910400 125960192000 130023424000 133832704000 137044688896 138149888000 142606336000 161229045760 171305861120 176831856640 201536307200 214132326400 221039820800 251920384000 260046848000 267665408000 274089377792 276299776000 322458091520 342611722240 403072614400 428264652800 442079641600 503840768000 535330816000 548178755584 552599552000 685223444480 806145228800 856529305600 884159283200 1007681536000 1070661632000 1096357511168 1105199104000 1370446888960 1612290457600 1713058611200 2015363072000 2141323264000 2210398208000 2740893777920 3426117222400 4030726144000 4282646528000 4420796416000 5481787555840 6852234444800 8061452288000 8565293056000 13704468889600 17130586112000 27408937779200 34261172224000 68522344448000 137044688896000
• Sum of all divisors σ(n): 374245193774088
• Sum of proper divisors (its aliquot sum) s(n): 237200504878088
• 137044688896000 is an abundant number, because the sum of its proper divisors (237200504878088) is greater than itself. Its abundance is 100155815982088

Bases of 137044688896000

• Binary: 11111001010010000110100000000000000000000000000₂
• Hexadecimal: 0x7CA434000000
• Base-36: 1CKTGLDO1S

Squares and roots of 137044688896000

• 137044688896000 squared (137044688896000²) is 18781246754601425698816000000
• 137044688896000 cubed (137044688896000³) is 2573870118563362041372298115547136000000000
• The square root of 137044688896000 is 11706608.7700922165
• The cube root of 137044688896000 is 51556.9720341873

Scales and comparisons

• 137,044,688,896,000 seconds is equal to 4,357,597 years, 10 weeks, 2 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 137,044,688,896,000 would take you about ten million, eight hundred ninety-three thousand, nine hundred ninety-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 137044688896000 cubic inches would be around 4296.4 feet tall.

Recreational maths with 137044688896000

• 137044688896000 backwards is 000698886440731
• 137044688896000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137044688896000's digits is 64
• More coming soon!