146680551309312

Names of 146680551309312

• Cardinal: 146680551309312 can be written as One hundred forty-six trillion, six hundred eighty billion, five hundred fifty-one million, three hundred nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.46680551309312 × 10¹⁴

Factors of 146680551309312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 4694

Divisors of 146680551309312

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 61 64 72 74 96 108 111 122 128 144 148 183 192 216 222 244 256 288 296 333 366 384 432 444 488 512 549 576 592 666 732 768 864 888 976 999 1024 1098 1152 1184 1332 1464 1536 1647 1728 1776 1952 1998 2048 2196 2257 2304 2368 2664 2928 3072 3294 3456 3552 3904 3996 4096 4392 4514 4591 4608 4736 5328 5856 6144 6588 6771 6912 7104 7808 7992 8192 8784 9028 9182 9216 9472 10656 11712 12288 13176 13542 13773 13824 14208 15616 15984 16384 17568 18056 18364 18432 18944 20313 21312 23424 24576 26352 27084 27546 27648 28416 31232 31968 32768 35136 36112 36728 36864 37888 40626 41319 42624 46848 49152 52704 54168 55092 55296 56832 60939 62464 63936 65536 70272 72224 73456 73728 75776 81252 82638 85248 93696 98304 105408 108336 110184 110592 113664 121878 123957 124928 127872 131072 140544 144448 146912 147456 151552 162504 165276 169867 170496 187392 196608 210816 216672 220368 221184 227328 243756 247914 249856 255744 262144 280051 281088 288896 293824 294912 303104 325008 330552 339734 340992 374784 393216 421632 433344 440736 442368 454656 487512 495828 499712 509601 511488 524288 560102 562176 577792 587648 589824 606208 650016 661104 679468 681984 749568 786432 840153 843264 866688 881472 884736 909312 975024 991656 999424 1019202 1022976 1120204 1124352 1155584 1175296 1179648 1212416 1300032 1322208 1358936 1363968 1499136 1528803 1572864 1680306 1686528 1733376 1762944 1769472 1818624 1950048 1983312 1998848 2038404 2045952 2240408 2248704 2311168 2350592 2359296 2424832 2520459 2600064 2644416 2717872 2727936 2998272 3057606 3360612 3373056 3466752 3525888 3538944 3637248 3900096 3966624 3997696 4076808 4091904 4480816 4497408 4586409 4622336 4701184 4718592 4849664 5040918 5200128 5288832 5435744 5455872 5996544 6115212 6721224 6746112 6933504 7051776 7077888 7274496 7561377 7800192 7933248 7995392 8153616 8183808 8961632 8994816 9172818 9244672 9402368 9699328 10081836 10361887 10400256 10577664 10871488 10911744 11993088 12230424 13442448 13492224 13867008 14103552 14155776 14548992 15122754 15600384 15866496 15990784 16307232 16367616 17923264 17989632 18345636 18489344 18804736 19398656 20163672 20723774 20800512 21155328 21742976 21823488 23986176 24460848 26884896 26984448 27734016 28207104 29097984 30245508 31085661 31200768 31732992 31981568 32614464 32735232 35846528 35979264 36691272 36978688 37609472 40327344 41447548 41601024 42310656 43485952 43646976 47972352 48921696 53769792 53968896 55468032 56414208 58195968 60491016 62171322 62401536 63465984 65228928 65470464 71693056 71958528 73382544 73957376 75218944 80654688 82895096 83202048 84621312 86971904 87293952 93256983 95944704 97843392 107539584 107937792 110936064 112828416 120982032 124342644 124803072 126931968 130457856 130940928 143386112 143917056 146765088 147914752 150437888 161309376 165790192 166404096 169242624 173943808 174587904 186513966 195686784 215079168 215875584 221872128 225656832 241964064 248685288 249606144 253863936 260915712 261881856 279770949 286772224 287834112 293530176 295829504 300875776 322618752 331580384 332808192 338485248 347887616 373027932 391373568 430158336 431751168 443744256 451313664 483928128 497370576 499212288 507727872 521831424 523763712 559541898 573544448 587060352 591659008 601751552 645237504 663160768 665616384 676970496 695775232 746055864 782747136 860316672 863502336 887488512 902627328 967856256 994741152 998424576 1015455744 1043662848 1119083796 1147088896 1174120704 1183318016 1203503104 1290475008 1326321536 1331232768 1353940992 1391550464 1492111728 1565494272 1720633344 1774977024 1805254656 1935712512 1989482304 1996849152 2030911488 2087325696 2238167592 2294177792 2348241408 2407006208 2580950016 2652643072 2662465536 2707881984 2783100928 2984223456 3130988544 3441266688 3549954048 3610509312 3871425024 3978964608 3993698304 4061822976 4174651392 4476335184 4588355584 4696482816 5161900032 5305286144 5324931072 5415763968 5566201856 5968446912 6261977088 6882533376 7221018624 7742850048 7957929216 7987396608 8123645952 8349302784 8952670368 9176711168 9392965632 10323800064 10610572288 10649862144 10831527936 11132403712 11936893824 12523954176 13765066752 15485700096 15915858432 15974793216 16247291904 16698605568 17905340736 18353422336 18785931264 20647600128 21221144576 21663055872 22264807424 23873787648 25047908352 27530133504 30971400192 31831716864 31949586432 32494583808 33397211136 35810681472 36706844672 37571862528 41295200256 42442289152 44529614848 47747575296 50095816704 55060267008 61942800384 63663433728 64989167616 66794422272 71621362944 73413689344 75143725056 82590400512 84884578304 89059229696 95495150592 100191633408 110120534016 123885600768 127326867456 133588844544 143242725888 146827378688 150287450112 165180801024 169769156608 190990301184 200383266816 220241068032 247771201536 254653734912 267177689088 286485451776 300574900224 330361602048 339538313216 381980602368 400766533632 440482136064 495542403072 509307469824 572970903552 601149800448 660723204096 679076626432 763961204736 801533067264 991084806144 1018614939648 1145941807104 1202299600896 1321446408192 1358153252864 1527922409472 1982169612288 2037229879296 2291883614208 2404599201792 2716306505728 3055844818944 3964339224576 4074459758592 4583767228416 5432613011456 6111689637888 8148919517184 9167534456832 12223379275776 16297839034368 18335068913664 24446758551552 36670137827328 48893517103104 73340275654656 146680551309312
• Sum of all divisors σ(n): 453770915136000
• Sum of proper divisors (its aliquot sum) s(n): 307090363826688
• 146680551309312 is an abundant number, because the sum of its proper divisors (307090363826688) is greater than itself. Its abundance is 160409812517376

Bases of 146680551309312

• Binary: 100001010110011110111010001010000000000000000000₂
• Hexadecimal: 0x8567BA280000
• Base-36: 1FZS452IO0

Squares and roots of 146680551309312

• 146680551309312 squared (146680551309312²) is 21515184132403710277497913344
• 146680551309312 cubed (146680551309312³) is 3155859070062337812309813264001607116259328
• The square root of 146680551309312 is 12111174.6461403157
• The cube root of 146680551309312 is 52738.0633873899

Scales and comparisons

• 146,680,551,309,312 seconds is equal to 4,663,987 years, 42 weeks, 4 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 146,680,551,309,312 would take you about eleven million, six hundred fifty-nine thousand, nine hundred sixty-nine 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 146680551309312 cubic inches would be around 4394.8 feet tall.

Recreational maths with 146680551309312

• 146680551309312 backwards is 213903155086641
• 146680551309312 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146680551309312's digits is 54
• More coming soon!