146147401728

Names of 146147401728

• Cardinal: 146147401728 can be written as One hundred forty-six billion, one hundred forty-seven million, four hundred one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.46147401728 × 10¹¹

Factors of 146147401728

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 41

Divisors of 146147401728

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 64 68 72 76 96 102 114 128 136 144 152 153 171 192 204 228 256 272 288 289 304 306 323 342 361 384 408 456 512 544 576 578 608 612 646 684 722 768 816 867 912 969 1024 1083 1088 1152 1156 1216 1224 1292 1368 1444 1536 1632 1734 1824 1938 2048 2166 2176 2304 2312 2432 2448 2584 2601 2736 2888 2907 3072 3249 3264 3468 3648 3876 4096 4332 4352 4608 4624 4864 4896 5168 5202 5472 5491 5776 5814 6137 6144 6498 6528 6859 6936 7296 7752 8192 8664 8704 9216 9248 9728 9792 10336 10404 10944 10982 11552 11628 12274 12288 12996 13056 13718 13872 14592 15504 16473 17328 17408 18411 18432 18496 19456 19584 20577 20672 20808 21888 21964 23104 23256 24548 24576 25992 26112 27436 27744 29184 31008 32946 34656 34816 36822 36864 36992 38912 39168 41154 41344 41616 43776 43928 46208 46512 49096 49419 51984 52224 54872 55233 55488 58368 61731 62016 65892 69312 69632 73644 73728 73984 77824 78336 82308 82688 83232 87552 87856 92416 93024 98192 98838 103968 104329 104448 109744 110466 110976 116603 116736 123462 124032 131784 138624 139264 147288 147968 155648 156672 164616 165376 166464 175104 175712 184832 186048 196384 197676 207936 208658 208896 219488 220932 221952 233206 233472 246924 248064 263568 277248 294576 295936 312987 313344 329232 330752 332928 349809 350208 351424 369664 372096 392768 395352 415872 417316 417792 438976 441864 443904 466412 466944 493848 496128 527136 554496 589152 591872 625974 626688 658464 661504 665856 699618 700416 702848 739328 744192 785536 790704 831744 834632 877952 883728 887808 932824 938961 987696 992256 1049427 1054272 1108992 1178304 1183744 1251948 1253376 1316928 1323008 1331712 1399236 1400832 1405696 1478656 1488384 1571072 1581408 1663488 1669264 1755904 1767456 1775616 1865648 1877922 1975392 1982251 1984512 2098854 2108544 2217984 2356608 2367488 2503896 2633856 2646016 2663424 2798472 2811392 2957312 2976768 3142144 3162816 3326976 3338528 3511808 3534912 3551232 3731296 3755844 3950784 3964502 3969024 4197708 4217088 4435968 4713216 5007792 5267712 5326848 5596944 5622784 5946753 5953536 6284288 6325632 6653952 6677056 7023616 7069824 7102464 7462592 7511688 7901568 7929004 7938048 8395416 8434176 8871936 9426432 10015584 10535424 10653696 11193888 11245568 11893506 11907072 12568576 12651264 13307904 13354112 14047232 14139648 14925184 15023376 15803136 15858008 16790832 16868352 17840259 18852864 20031168 21070848 21307392 22387776 22491136 23787012 23814144 25137152 25302528 26615808 26708224 28094464 28279296 29850368 30046752 31606272 31716016 33581664 33736704 35680518 37705728 40062336 42141696 44775552 44982272 47574024 50274304 50605056 53416448 56188928 56558592 59700736 60093504 63212544 63432032 67163328 67473408 71361036 75411456 80124672 84283392 89551104 95148048 101210112 106832896 113117184 119401472 120187008 126425088 126864064 134326656 134946816 142722072 150822912 160249344 168566784 179102208 190296096 202420224 213665792 226234368 238802944 240374016 252850176 253728128 268653312 285444144 320498688 358204416 380592192 404840448 427331584 452468736 477605888 480748032 505700352 507456256 537306624 570888288 640997376 716408832 761184384 854663168 955211776 961496064 1014912512 1074613248 1141776576 1281994752 1432817664 1522368768 1922992128 2029825024 2149226496 2283553152 2563989504 2865635328 3044737536 3845984256 4059650048 4298452992 4567106304 6089475072 7691968512 8119300096 8596905984 9134212608 12178950144 16238600192 18268425216 24357900288 36536850432 48715800576 73073700864 146147401728
• Sum of all divisors σ(n): 473384163720
• Sum of proper divisors (its aliquot sum) s(n): 327236761992
• 146147401728 is an abundant number, because the sum of its proper divisors (327236761992) is greater than itself. Its abundance is 181089360264

Bases of 146147401728

• Binary: 10001000000111000100000110000000000000₂
• Hexadecimal: 0x2207106000
• Base-36: 1V50E0W0

Squares and roots of 146147401728

• 146147401728 squared (146147401728²) is 21359063031845417385984
• 146147401728 cubed (146147401728³) is 3121571565448785871905239284580352
• The square root of 146147401728 is 382292.2988081241
• The cube root of 146147401728 is 5267.4088962013

Scales and comparisons

• 146,147,401,728 seconds is equal to 4,647 years, 1 week, 5 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 146,147,401,728 would take you about nine thousand, two hundred ninety-four 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 146147401728 cubic inches would be around 439 feet tall.

Recreational maths with 146147401728

• 146147401728 backwards is 827104741641
• The number of decimal digits it has is: 12
• The sum of 146147401728's digits is 45
• More coming soon!