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140321220242224 = 24737251281480091
BaseRepresentation
bin11111111001111100010100…
…011111001010101100110000
3200101211120121002210120020111
4133321330110133022230300
5121343010324340222344
61214234402331351104
741361605435222020
oct3771742437125460
9611746532716214
10140321220242224
114078a99372960a
12138a32388b2494
13603b307977b48
1426918247d3a80
151135124aee834
hex7f9f147cab30

140321220242224 has 160 divisors (see below), whose sum is σ = 321521038336512. Its totient is φ = 58071686400000.

The previous prime is 140321220242207. The next prime is 140321220242233. The reversal of 140321220242224 is 422242022123041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292040419 + ... + 292520509.

Almost surely, 2140321220242224 is an apocalyptic number.

140321220242224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140321220242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160760519168256).

140321220242224 is an abundant number, since it is smaller than the sum of its proper divisors (181199818094288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140321220242224 is a wasteful number, since it uses less digits than its factorization.

140321220242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480675 (or 480669 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 140321220242224 its reverse (422242022123041), we get a palindrome (562563242365265).

The spelling of 140321220242224 in words is "one hundred forty trillion, three hundred twenty-one billion, two hundred twenty million, two hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 251 259 281 296 502 518 562 592 1004 1036 1124 1757 1967 2008 2072 2248 3514 3934 4016 4144 4496 7028 7868 9287 10397 14056 15736 18574 20794 28112 31472 37148 41588 65009 70531 72779 74296 83176 130018 141062 145558 148592 166352 260036 282124 291116 480091 493717 520072 564248 582232 960182 987434 1040144 1128496 1164464 1920364 1974868 2609647 3360637 3840728 3949736 5219294 6721274 7681456 7899472 10438588 13442548 17763367 18267529 20877176 26885096 35526734 36535058 41754352 53770192 71053468 73070116 120502841 124343569 134905571 142106936 146140232 241005682 248687138 269811142 284213872 292280464 482011364 497374276 539622284 843519887 944338997 964022728 994748552 1079244568 1687039774 1888677994 1928045456 1989497104 2158489136 3374079548 3777355988 4458605117 4991506127 6748159096 7554711976 8917210234 9983012254 13496318192 15109423952 17834420468 19966024508 31210235819 33861298321 34940542889 35668840936 39932049016 62420471638 67722596642 69881085778 71337681872 79864098032 124840943276 135445193284 139762171556 237029088247 249681886552 270890386568 279524343112 474058176494 499363773104 541780773136 559048686224 948116352988 1252868037877 1896232705976 2505736075754 3792465411952 5011472151508 8770076265139 10022944303016 17540152530278 20045888606032 35080305060556 70160610121112 140321220242224