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140022321023040 = 2635149978903251
BaseRepresentation
bin11111110101100101111100…
…101101001000100001000000
3200100210000002022011222220020
4133311211330231020201000
5121323111203140214130
61213445211040013440
741331164434614021
oct3765457455104100
9610700068158806
10140022321023040
1140685150930225
1213855320001280
136019081c11441
14268118b954c48
15112c47ddcce10
hex7f597cb48840

140022321023040 has 112 divisors (see below), whose sum is σ = 447554566814400. Its totient is φ = 37088686336000.

The previous prime is 140022321023027. The next prime is 140022321023059. The reversal of 140022321023040 is 40320123220041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140022321023040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489308586 + ... + 489594665.

Almost surely, 2140022321023040 is an apocalyptic number.

140022321023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140022321023040 is an abundant number, since it is smaller than the sum of its proper divisors (307532245791360).

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

140022321023040 is a wasteful number, since it uses less digits than its factorization.

140022321023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978903420 (or 978903410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 140022321023040 its reverse (40320123220041), we get a palindrome (180342444243081).

The spelling of 140022321023040 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty-one million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 149 160 192 240 298 320 447 480 596 745 894 960 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 11920 14304 17880 23840 28608 35760 47680 71520 143040 978903251 1957806502 2936709753 3915613004 4894516255 5873419506 7831226008 9789032510 11746839012 14683548765 15662452016 19578065020 23493678024 29367097530 31324904032 39156130040 46987356048 58734195060 62649808064 78312260080 93974712096 117468390120 145856584399 156624520160 187949424192 234936780240 291713168798 313249040320 437569753197 469873560480 583426337596 729282921995 875139506394 939747120960 1166852675192 1458565843990 1750279012788 2187848765985 2333705350384 2917131687980 3500558025576 4375697531970 4667410700768 5834263375960 7001116051152 8751395063940 9334821401536 11668526751920 14002232102304 17502790127880 23337053503840 28004464204608 35005580255760 46674107007680 70011160511520 140022321023040