2142531744768

Names of 2142531744768

• Cardinal: 2142531744768 can be written as Two trillion, one hundred forty-two billion, five hundred thirty-one million, seven hundred forty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.142531744768 × 10¹²

Factors of 2142531744768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 8343

Divisors of 2142531744768

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 19 24 27 29 32 34 36 38 48 51 54 57 58 64 68 72 76 87 96 102 108 114 116 128 136 144 152 153 171 174 192 204 216 228 232 256 261 272 288 304 306 323 342 348 384 408 432 456 459 464 493 512 513 522 544 551 576 608 612 646 684 696 768 783 816 864 912 918 928 969 986 1024 1026 1044 1088 1102 1152 1216 1224 1292 1368 1392 1479 1536 1566 1632 1653 1728 1824 1836 1856 1938 1972 2052 2088 2176 2204 2304 2432 2448 2584 2736 2784 2907 2958 3072 3132 3264 3306 3456 3648 3672 3712 3876 3944 4104 4176 4352 4408 4437 4608 4864 4896 4959 5168 5472 5568 5814 5916 6264 6528 6612 6912 7296 7344 7424 7752 7888 8208 8273 8352 8704 8721 8816 8874 9216 9367 9728 9792 9918 10336 10944 11136 11628 11832 12528 13056 13224 13311 13824 14592 14688 14848 14877 15504 15776 16416 16546 16704 17408 17442 17632 17748 18734 19456 19584 19836 20672 21888 22272 23256 23664 24819 25056 26112 26448 26622 27648 28101 29184 29376 29696 29754 31008 31552 32832 33092 33408 34884 35264 35496 37468 39168 39672 41344 43776 44544 46512 47328 49638 50112 52224 52896 53244 56202 58368 58752 59508 62016 63104 65664 66184 66816 69768 70528 70992 74457 74936 78336 79344 82688 84303 87552 89088 93024 94656 99276 100224 105792 106488 112404 117504 119016 124032 126208 131328 132368 133632 139536 140641 141056 141984 148914 149872 156672 157187 158688 165376 168606 175104 186048 189312 198552 200448 211584 212976 223371 224808 235008 238032 239917 248064 252416 252909 262656 264736 267264 279072 281282 282112 283968 297828 299744 314374 317376 330752 337212 372096 378624 397104 400896 421923 423168 425952 446742 449616 470016 471561 476064 479834 496128 504832 505818 525312 529472 558144 562564 564224 567936 595656 599488 628748 634752 674424 719751 744192 757248 794208 801792 843846 846336 851904 893484 899232 943122 952128 959668 992256 1011636 1058944 1116288 1125128 1135872 1191312 1198976 1257496 1265769 1269504 1348848 1414683 1439502 1488384 1514496 1588416 1687692 1692672 1703808 1786968 1798464 1886244 1904256 1919336 2023272 2117888 2159253 2232576 2250256 2271744 2382624 2397952 2514992 2531538 2539008 2672179 2697696 2829366 2879004 2976768 3176832 3375384 3407616 3573936 3596928 3772488 3797307 3808512 3838672 4046544 4078589 4235776 4244049 4318506 4465152 4500512 4543488 4558423 4765248 4795904 5029984 5063076 5078016 5344358 5395392 5658732 5758008 6353664 6477759 6750768 6815232 7147872 7193856 7544976 7594614 7617024 7677344 8016537 8093088 8157178 8471552 8488098 8637012 8930304 9001024 9116846 9530496 9591808 10059968 10126152 10688716 10790784 11317464 11516016 12235767 12707328 12955518 13501536 13630464 13675269 14295744 14387712 15089952 15189228 15234048 15354688 16033074 16186176 16314356 16976196 17274024 18002048 18233692 19060992 20119936 20252304 21377432 21581568 22634928 23032032 24049611 24471534 25414656 25911036 27003072 27350538 28591488 28775424 30179904 30378456 30709376 32066148 32372352 32628712 33952392 34548048 36004096 36467384 36707301 38121984 40239872 40504608 41025807 42754864 43163136 45269856 46064064 48099222 48943068 51822072 54006144 54701076 57182976 60359808 60756912 61418752 64132296 64744704 65257424 67904784 69096096 72008192 72148833 72934768 73414602 76243968 77493191 80479744 81009216 82051614 85509728 86326272 90539712 92128128 96198444 97886136 103644144 108012288 109402152 110121903 114365952 120719616 121513824 122837504 123077421 128264592 129489408 130514848 135809568 138192192 144016384 144297666 145869536 146829204 154986382 160959488 162018432 164103228 171019456 181079424 184256256 192396888 195772272 207288288 216024576 218804304 220243806 228731904 232479573 241439232 243027648 245675008 246154842 256529184 258978816 261029696 271619136 276384384 288595332 291739072 293658408 309972764 324036864 328206456 342038912 362158848 368512512 384793776 391544544 414576576 432049152 437608608 440487612 464959146 482878464 486055296 492309684 513058368 522059392 543238272 552768768 577190664 583478144 587316816 619945528 648073728 656412912 684077824 697438719 724317696 737025024 769587552 783089088 829153152 875217216 880975224 929918292 972110592 984619368 1026116736 1044118784 1086476544 1105537536 1154381328 1166956288 1174633632 1239891056 1296147456 1312825824 1368155648 1394877438 1448635392 1539175104 1566178176 1658306304 1750434432 1761950448 1859836584 1944221184 1969238736 2052233472 2088237568 2092316157 2172953088 2211075072 2308762656 2333912576 2349267264 2479782112 2625651648 2736311296 2789754876 3078350208 3132356352 3316612608 3500868864 3523900896 3719673168 3888442368 3938477472 4104466944 4176475136 4184632314 4345906176 4617525312 4667825152 4698534528 4959564224 5251303296 5579509752 6156700416 6264712704 6633225216 7001737728 7047801792 7439346336 7876954944 8208933888 8369264628 9235050624 9397069056 9919128448 10502606592 11159019504 12313400832 12529425408 14003475456 14095603584 14878692672 15753909888 16738529256 18470101248 18794138112 19838256896 21005213184 22318039008 24626801664 28191207168 29757385344 31507819776 33477058512 36940202496 37588276224 39676513792 42010426368 44636078016 56382414336 59514770688 63015639552 66954117024 73880404992 79353027584 89272156032 112764828672 119029541376 126031279104 133908234048 178544312064 238059082752 267816468096 357088624128 535632936192 714177248256 1071265872384 2142531744768
• Sum of all divisors σ(n): 7316731296000
• Sum of proper divisors (its aliquot sum) s(n): 5174199551232
• 2142531744768 is an abundant number, because the sum of its proper divisors (5174199551232) is greater than itself. Its abundance is 3031667806464

Bases of 2142531744768

• Binary: 11111001011011000110101111111010000000000₂
• Hexadecimal: 0x1F2D8D7F400
• Base-36: RC9K2YO0

Squares and roots of 2142531744768

• 2142531744768 squared (2142531744768²) is 4590442277338610295373824
• 2142531744768 cubed (2142531744768³) is 9835168301723084063679686973516152832
• The square root of 2142531744768 is 1463738.9605964583
• The cube root of 2142531744768 is 12891.6672841071

Scales and comparisons

• 2,142,531,744,768 seconds is equal to 68,125 years, 45 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 2,142,531,744,768 would take you about one hundred seventy thousand, three hundred fourteen 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 2142531744768 cubic inches would be around 1074.3 feet tall.

Recreational maths with 2142531744768

• 2142531744768 backwards is 8674471352412
• 2142531744768 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2142531744768's digits is 54
• More coming soon!