146687129376768

Names of 146687129376768

• Cardinal: 146687129376768 can be written as One hundred forty-six trillion, six hundred eighty-seven billion, one hundred twenty-nine million, three hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46687129376768 × 10¹⁴

Factors of 146687129376768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 239

Divisors of 146687129376768

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 193 216 243 246 256 288 324 328 369 384 386 432 486 492 512 576 579 648 656 738 768 772 864 972 984 1024 1107 1152 1158 1296 1312 1476 1536 1544 1728 1737 1944 1968 2048 2214 2304 2316 2592 2624 2952 3072 3088 3321 3456 3474 3888 3936 4428 4608 4632 5184 5211 5248 5904 6144 6176 6642 6912 6948 7776 7872 7913 8856 9216 9264 9963 10368 10422 10496 11808 12352 13284 13824 13896 15552 15633 15744 15826 17712 18432 18528 19926 20736 20844 20992 23616 23739 24704 26568 27648 27792 31104 31266 31488 31652 35424 37056 37249 39852 41472 41688 41984 46899 47232 47478 49408 53136 55296 55584 62208 62532 62976 63304 70848 71217 74112 74498 79704 82944 83376 83968 93798 94464 94956 98816 106272 111168 111747 124416 125064 125952 126608 141696 142434 148224 148996 159408 165888 166752 187596 188928 189912 197632 212544 213651 222336 223494 248832 250128 251904 253216 283392 284868 296448 297992 318816 333504 335241 375192 377856 379824 395264 425088 427302 444672 446988 497664 500256 506432 566784 569736 592896 595984 637632 640953 667008 670482 750384 755712 759648 850176 854604 889344 893976 1000512 1005723 1012864 1133568 1139472 1185792 1191968 1275264 1281906 1334016 1340964 1500768 1519296 1527209 1700352 1709208 1778688 1787952 1922859 2001024 2011446 2025728 2267136 2278944 2383936 2550528 2563812 2668032 2681928 3001536 3017169 3038592 3054418 3400704 3418416 3557376 3575904 3845718 4002048 4022892 4051456 4557888 4581627 4767872 5101056 5127624 5336064 5363856 6003072 6034338 6077184 6108836 6801408 6836832 7151808 7189057 7691436 8004096 8045784 8102912 9051507 9115776 9163254 9535744 10202112 10255248 10672128 10727712 12006144 12068676 12154368 12217672 13673664 13744881 14303616 14378114 15382872 16008192 16091568 16205824 18103014 18231552 18326508 19071488 20404224 20510496 21455424 21567171 24012288 24137352 24308736 24435344 27347328 27489762 28607232 28756228 30765744 32016384 32183136 36206028 36463104 36653016 38142976 41020992 41234643 42910848 43134342 48024576 48274704 48617472 48870688 54694656 54979524 57214464 57512456 61531488 64366272 64701513 72412056 72926208 73306032 76285952 82041984 82469286 85821696 86268684 96049152 96549408 97741376 109389312 109959048 114428928 115024912 123062976 123703929 128732544 129403026 144824112 145852416 146612064 164083968 164938572 171643392 172537368 193098816 194104539 195482752 218778624 219918096 228857856 230049824 246125952 247407858 257465088 258806052 289648224 293224128 294751337 328167936 329877144 343286784 345074736 371111787 386197632 388209078 390965504 437557248 439836192 460099648 492251904 494815716 514930176 517612104 579296448 582313617 586448256 589502674 656335872 659754288 686573568 690149472 742223574 772395264 776418156 781931008 879672384 884254011 920199296 984503808 989631432 1029860352 1035224208 1158592896 1164627234 1172896512 1179005348 1312671744 1319508576 1380298944 1484447148 1544790528 1552836312 1563862016 1746940851 1759344768 1768508022 1840398592 1969007616 1979262864 2059720704 2070448416 2317185792 2329254468 2345793024 2358010696 2639017152 2652762033 2760597888 2968894296 3089581056 3105672624 3127724032 3493881702 3518689536 3537016044 3680797184 3938015232 3958525728 4140896832 4634371584 4658508936 4691586048 4716021392 5278034304 5305524066 5521195776 5937788592 6179162112 6211345248 6987763404 7037379072 7074032088 7361594368 7917051456 7958286099 8281793664 9268743168 9317017872 9383172096 9432042784 10556068608 10611048132 11042391552 11875577184 12422690496 13975526808 14074758144 14148064176 14723188736 15834102912 15916572198 16563587328 18537486336 18634035744 18864085568 21112137216 21222096264 22084783104 23751154368 23874858297 24845380992 27951053616 28149516288 28296128352 31668205824 31833144396 33127174656 37268071488 37728171136 42224274432 42444192528 44169566208 47502308736 47749716594 49690761984 55902107232 56592256704 63336411648 63666288792 66254349312 71624574891 74536142976 75456342272 84448548864 84888385056 95004617472 95499433188 99381523968 111804214464 113184513408 126672823296 127332577584 132508698624 143249149782 149072285952 150912684544 169776770112 190009234944 190998866376 198763047936 223608428928 226369026816 253345646592 254665155168 286498299564 298144571904 301825369088 339553540224 380018469888 381997732752 397526095872 447216857856 452738053632 509330310336 572996599128 596289143808 603650738176 679107080448 760036939776 763995465504 894433715712 905476107264 1018660620672 1145993198256 1192578287616 1358214160896 1527990931008 1788867431424 1810952214528 2037321241344 2291986396512 2716428321792 3055981862016 3577734862848 4074642482688 4583972793024 5432856643584 6111963724032 8149284965376 9167945586048 12223927448064 16298569930752 18335891172096 24447854896128 36671782344192 48895709792256 73343564688384 146687129376768
• Sum of all divisors σ(n): 452410407540000
• Sum of proper divisors (its aliquot sum) s(n): 305723278163232
• 146687129376768 is an abundant number, because the sum of its proper divisors (305723278163232) is greater than itself. Its abundance is 159036148786464

Bases of 146687129376768

• Binary: 100001010110100101000010001111010101100000000000₂
• Hexadecimal: 0x8569423D5800
• Base-36: 1FZV4XHC00

Squares and roots of 146687129376768

• 146687129376768 squared (146687129376768²) is 21517113924796673580098125824
• 146687129376768 cubed (146687129376768³) is 3156283674101305935432538726829729966456832
• The square root of 146687129376768 is 12111446.2132632203
• The cube root of 146687129376768 is 52738.8517431047

Scales and comparisons

• 146,687,129,376,768 seconds is equal to 4,664,196 years, 51 weeks, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 146,687,129,376,768 would take you about eleven million, six hundred sixty thousand, four 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 146687129376768 cubic inches would be around 4394.9 feet tall.

Recreational maths with 146687129376768

• 146687129376768 backwards is 867673921786641
• 146687129376768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146687129376768's digits is 81
• More coming soon!