138227171328

Names of 138227171328

• Cardinal: 138227171328 can be written as One hundred thirty-eight billion, two hundred twenty-seven million, one hundred seventy-one thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38227171328 × 10¹¹

Factors of 138227171328

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 239

Divisors of 138227171328

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 163 192 213 216 243 256 284 288 324 326 384 426 432 486 489 512 568 576 639 648 652 729 768 852 864 972 978 1024 1136 1152 1278 1296 1304 1458 1467 1536 1704 1728 1917 1944 1956 2048 2272 2304 2556 2592 2608 2916 2934 3072 3408 3456 3834 3888 3912 4096 4401 4544 4608 5112 5184 5216 5751 5832 5868 6144 6816 6912 7668 7776 7824 8192 8802 9088 9216 10224 10368 10432 11502 11573 11664 11736 12288 13203 13632 13824 15336 15552 15648 16384 17253 17604 18176 18432 20448 20736 20864 23004 23146 23328 23472 24576 26406 27264 27648 30672 31104 31296 34506 34719 35208 36352 36864 39609 40896 41472 41728 46008 46292 46656 46944 49152 51759 52812 54528 55296 61344 62208 62592 69012 69438 70416 72704 73728 79218 81792 82944 83456 92016 92584 93312 93888 103518 104157 105624 109056 110592 118827 122688 124416 125184 138024 138876 140832 145408 147456 158436 163584 165888 166912 184032 185168 186624 187776 207036 208314 211248 218112 221184 237654 245376 248832 250368 276048 277752 281664 290816 312471 316872 327168 331776 333824 368064 370336 373248 375552 414072 416628 422496 436224 442368 475308 490752 497664 500736 552096 555504 563328 581632 624942 633744 654336 663552 667648 736128 740672 746496 751104 828144 833256 844992 872448 937413 950616 981504 995328 1001472 1104192 1111008 1126656 1163264 1249884 1267488 1308672 1327104 1335296 1472256 1481344 1492992 1502208 1656288 1666512 1689984 1744896 1874826 1901232 1963008 1990656 2002944 2208384 2222016 2253312 2499768 2534976 2617344 2670592 2812239 2944512 2962688 2985984 3004416 3312576 3333024 3379968 3489792 3749652 3802464 3926016 3981312 4005888 4416768 4444032 4506624 4999536 5069952 5234688 5624478 5889024 5925376 5971968 6008832 6625152 6666048 6759936 7499304 7604928 7852032 8011776 8436717 8833536 8888064 9013248 9999072 10139904 10469376 11248956 11778048 11850752 11943936 12017664 13250304 13332096 13519872 14998608 15209856 15704064 16873434 17667072 17776128 18026496 19998144 20279808 22497912 23556096 23701504 24035328 26500608 26664192 27039744 29997216 30419712 31408128 33746868 35334144 35552256 36052992 39996288 40559616 44995824 47112192 47403008 53001216 53328384 54079488 59994432 60839424 67493736 70668288 71104512 72105984 79992576 81119232 89991648 94224384 94806016 106002432 106656768 108158976 119988864 121678848 134987472 141336576 142209024 159985152 162238464 179983296 189612032 212004864 213313536 216317952 239977728 243357696 269974944 282673152 284418048 319970304 324476928 359966592 424009728 426627072 479955456 486715392 539949888 568836096 639940608 648953856 719933184 848019456 853254144 959910912 973430784 1079899776 1279881216 1439866368 1706508288 1919821824 1946861568 2159799552 2559762432 2879732736 3839643648 4319599104 5119524864 5759465472 7679287296 8639198208 11518930944 15358574592 17278396416 23037861888 34556792832 46075723776 69113585664 138227171328
• Sum of all divisors σ(n): 422895620448
• Sum of proper divisors (its aliquot sum) s(n): 284668449120
• 138227171328 is an abundant number, because the sum of its proper divisors (284668449120) is greater than itself. Its abundance is 146441277792

Bases of 138227171328

• Binary: 10000000101110111110110100000000000000₂
• Hexadecimal: 0x202EFB4000
• Base-36: 1RI0W000

Squares and roots of 138227171328

• 138227171328 squared (138227171328²) is 19106750893340265283584
• 138227171328 cubed (138227171328³) is 2641072129255161903554936073879552
• The square root of 138227171328 is 371789.1490186339
• The cube root of 138227171328 is 5170.4833058971

Scales and comparisons

• 138,227,171,328 seconds is equal to 4,395 years, 10 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,227,171,328 would take you about eight thousand, seven hundred ninety 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 138227171328 cubic inches would be around 430.9 feet tall.

Recreational maths with 138227171328

• 138227171328 backwards is 823171722831
• The number of decimal digits it has is: 12
• The sum of 138227171328's digits is 45
• More coming soon!