138067968000

Names of 138067968000

• Cardinal: 138067968000 can be written as One hundred thirty-eight billion, sixty-seven million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.38067968 × 10¹¹

Factors of 138067968000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 63

Divisors of 138067968000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 125 128 150 159 160 192 200 212 240 250 256 265 300 318 320 375 384 400 424 480 500 512 530 600 636 640 750 768 795 800 848 960 1000 1024 1060 1200 1272 1280 1325 1500 1536 1590 1600 1696 1920 2000 2048 2120 2400 2544 2560 2650 2809 3000 3072 3180 3200 3392 3840 3975 4000 4096 4240 4800 5088 5120 5300 5618 6000 6144 6360 6400 6625 6784 7680 7950 8000 8192 8427 8480 9600 10176 10240 10600 11236 12000 12288 12720 12800 13250 13568 14045 15360 15900 16000 16384 16854 16960 19200 19875 20352 20480 21200 22472 24000 24576 25440 25600 26500 27136 28090 30720 31800 32000 32768 33708 33920 38400 39750 40704 40960 42135 42400 44944 48000 49152 50880 51200 53000 54272 56180 61440 63600 64000 65536 67416 67840 70225 76800 79500 81408 81920 84270 84800 89888 96000 98304 101760 102400 106000 108544 112360 122880 127200 128000 131072 134832 135680 140450 153600 159000 162816 163840 168540 169600 179776 192000 196608 203520 204800 210675 212000 217088 224720 245760 254400 256000 269664 271360 280900 307200 318000 325632 327680 337080 339200 351125 359552 384000 393216 407040 409600 421350 424000 434176 449440 491520 508800 512000 539328 542720 561800 614400 636000 651264 655360 674160 678400 702250 719104 768000 814080 819200 842700 848000 868352 898880 983040 1017600 1024000 1053375 1078656 1085440 1123600 1228800 1272000 1302528 1348320 1356800 1404500 1438208 1536000 1628160 1638400 1685400 1696000 1736704 1797760 1966080 2035200 2048000 2106750 2157312 2170880 2247200 2457600 2544000 2605056 2696640 2713600 2809000 2876416 3072000 3256320 3276800 3370800 3392000 3473408 3595520 4070400 4096000 4213500 4314624 4341760 4494400 4915200 5088000 5210112 5393280 5427200 5618000 5752832 6144000 6512640 6741600 6784000 6946816 7191040 8140800 8192000 8427000 8629248 8683520 8988800 9830400 10176000 10420224 10786560 10854400 11236000 11505664 12288000 13025280 13483200 13568000 14382080 16281600 16384000 16854000 17258496 17367040 17977600 20352000 20840448 21573120 21708800 22472000 23011328 24576000 26050560 26966400 27136000 28764160 32563200 33708000 34516992 34734080 35955200 40704000 43146240 43417600 44944000 46022656 49152000 52101120 53932800 54272000 57528320 65126400 67416000 69033984 71910400 81408000 86292480 86835200 89888000 92045312 104202240 107865600 108544000 115056640 130252800 134832000 138067968 143820800 162816000 172584960 173670400 179776000 184090624 215731200 217088000 230113280 260505600 269664000 276135936 287641600 325632000 345169920 359552000 368181248 431462400 434176000 460226560 521011200 539328000 552271872 575283200 651264000 690339840 719104000 862924800 868352000 920453120 1078656000 1104543744 1150566400 1302528000 1380679680 1438208000 1725849600 1840906240 2157312000 2301132800 2605056000 2761359360 2876416000 3451699200 4314624000 4602265600 5522718720 5752832000 6903398400 8629248000 9204531200 11505664000 13806796800 17258496000 23011328000 27613593600 34516992000 46022656000 69033984000 138067968000
• Sum of all divisors σ(n): 468321615216
• Sum of proper divisors (its aliquot sum) s(n): 330253647216
• 138067968000 is an abundant number, because the sum of its proper divisors (330253647216) is greater than itself. Its abundance is 192185679216

Bases of 138067968000

• Binary: 10000000100101011111100000000000000000₂
• Hexadecimal: 0x20257E0000
• Base-36: 1RFE3PXC

Squares and roots of 138067968000

• 138067968000 squared (138067968000²) is 19062763787649024000000
• 138067968000 cubed (138067968000³) is 2631957060624684240863232000000000
• The square root of 138067968000 is 371574.9830115047
• The cube root of 138067968000 is 5168.4975063165

Scales and comparisons

• 138,067,968,000 seconds is equal to 4,390 years, 6 weeks, 6 days, 21 hours, 20 minutes.
• To count from 1 to 138,067,968,000 would take you about eight thousand, seven 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 138067968000 cubic inches would be around 430.7 feet tall.

Recreational maths with 138067968000

• 138067968000 backwards is 000869760831
• 138067968000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138067968000's digits is 48
• More coming soon!