148338917444506880

Names of 148338917444506880

• Cardinal: 148338917444506880 can be written as One hundred forty-eight quadrillion, three hundred thirty-eight trillion, nine hundred seventeen billion, four hundred forty-four million, five hundred six thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 1.4833891744450688 × 10¹⁷

Factors of 148338917444506880

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 24028567207

Divisors of 148338917444506880

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 53 56 64 65 70 80 91 104 106 112 128 130 140 160 182 208 212 224 256 260 265 280 320 364 371 416 424 448 455 520 530 560 640 689 728 742 832 848 896 910 1040 1060 1120 1280 1378 1456 1484 1664 1696 1792 1820 1855 2080 2120 2240 2756 2912 2968 3328 3392 3445 3640 3710 4160 4240 4480 4823 5512 5824 5936 6784 6890 7280 7420 8320 8480 8960 9646 11024 11648 11872 13568 13780 14560 14840 16640 16960 19292 22048 23296 23744 24115 27560 29120 29680 33920 38584 44096 47488 48230 55120 58240 59360 67840 77168 88192 94976 96460 110240 116480 118720 154336 176384 192920 220480 237440 308672 385840 440960 474880 617344 771680 881920 1234688 1543360 3086720 6173440 24028567127 48057134254 96114268508 120142835635 168199969889 192228537016 240285671270 312371372651 336399939778 384457074032 480571342540 624742745302 672799879556 768914148064 840999849445 961142685080 1249485490604 1273514057731 1345599759112 1537828296128 1561856863255 1681999698890 1922285370160 2186599608557 2498970981208 2547028115462 2691199518224 3075656592256 3123713726510 3363999397780 3844570740320 4373199217114 4997941962416 5094056230924 5382399036448 6151313184512 6247427453020 6367570288655 6727998795560 7689141480640 8746398434228 8914598404117 9995883924832 10188112461848 10764798072896 10932998042785 12494854906040 12735140577310 13455997591120 15378282961280 16555682750503 17492796868456 17829196808234 19991767849664 20376224923696 21529596145792 21865996085570 24989709812080 25470281154620 26911995182240 30756565922560 33111365501006 34985593736912 35658393616468 39983535699328 40752449847392 43059192291584 43731992171140 44572992020585 49979419624160 50940562309240 53823990364480 66222731002012 69971187473824 71316787232936 79967071398656 81504899694784 82778413752515 87463984342280 89145984041170 99958839248320 101881124618480 107647980728960 115889779253521 132445462004024 139942374947648 142633574465872 163009799389568 165556827505030 174927968684560 178291968082340 199917678496640 203762249236960 215295961457920 231779558507042 264890924008048 279884749895296 285267148931744 326019598779136 331113655010060 349855937369120 356583936164680 399835356993280 407524498473920 463559117014084 529781848016096 559769499790592 570534297863488 579448896267605 662227310020120 699711874738240 713167872329360 815048996947840 927118234028168 1059563696032192 1141068595726976 1158897792535210 1324454620040240 1399423749476480 1426335744658720 1630097993895680 1854236468056336 2119127392064384 2282137191453952 2317795585070420 2648909240080480 2798847498952960 2852671489317440 3708472936112672 4238254784128768 4635591170140840 5297818480160960 5705342978634880 7416945872225344 9271182340281680 10595636960321920 11410685957269760 14833891744450688 18542364680563360 21191273920643840 29667783488901376 37084729361126720 74169458722253440 148338917444506880
• Sum of all divisors σ(n): 445565757053781504
• Sum of proper divisors (its aliquot sum) s(n): 297226839609274624
• 148338917444506880 is an abundant number, because the sum of its proper divisors (297226839609274624) is greater than itself. Its abundance is 148887922164767744

Bases of 148338917444506880

• Binary: 1000001111000000010111010110100000101001010101010100000000₂
• Hexadecimal: 0x20F0175A0A55500
• Base-36: 14KLR9WP3XFK

Squares and roots of 148338917444506880

• 148338917444506880 squared (148338917444506880²) is 22004434428608227554084286367334400
• 148338917444506880 cubed (148338917444506880³) is 3264113982118380786687647938844286463015148060672000
• The square root of 148338917444506880 is 385147916.3185319377
• The cube root of 148338917444506880 is 529360.7071082171

Scales and comparisons

• 148,338,917,444,506,880 seconds is equal to 4,716,718,732 years, 17 weeks, 3 days, 16 hours, 21 minutes, 20 seconds.
• To count from 1 to 148,338,917,444,506,880 would take you about fourteen billion, one hundred fifty million, one hundred fifty-six thousand, one hundred ninety-seven 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 148338917444506880 cubic inches would be around 44113.4 feet tall.

Recreational maths with 148338917444506880

• 148338917444506880 backwards is 088605444719833841
• The number of decimal digits it has is: 18
• The sum of 148338917444506880's digits is 83
• More coming soon!