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140304443231440 = 24529461131184497
BaseRepresentation
bin11111111001101100101100…
…011111111100110011010000
3200101202222021212220010000201
4133321230230133330303100
5121342221444431401230
61214222545454024544
741360442620044105
oct3771545437746320
9611688255803021
10140304443231440
1140783864525044
121389bb361a8154
136039862c2a927
142690ab259caac
151134991cc35ca
hex7f9b2c7fccd0

140304443231440 has 80 divisors (see below), whose sum is σ = 338188388464080. Its totient is φ = 54069001871360.

The previous prime is 140304443231413. The next prime is 140304443231443. The reversal of 140304443231440 is 44132344403041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17740236391056 + 122564206840384 = 4211916^2 + 11070872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 140304443231440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140304443231443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64522729 + ... + 66661768.

It is an arithmetic number, because the mean of its divisors is an integer number (4227354855801).

Almost surely, 2140304443231440 is an apocalyptic number.

140304443231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140304443231440 is an abundant number, since it is smaller than the sum of its proper divisors (197883945232640).

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

140304443231440 is a wasteful number, since it uses less digits than its factorization.

140304443231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131185000 (or 131184994 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 140304443231440 its reverse (44132344403041), we get a palindrome (184436787634481).

The spelling of 140304443231440 in words is "one hundred forty trillion, three hundred four billion, four hundred forty-three million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 461 464 580 922 1160 1844 2305 2320 3688 4610 7376 9220 13369 18440 26738 36880 53476 66845 106952 133690 213904 267380 534760 1069520 131184497 262368994 524737988 655922485 1049475976 1311844970 2098951952 2623689940 3804350413 5247379880 7608700826 10494759760 15217401652 19021752065 30434803304 38043504130 60476053117 60869606608 76087008260 120952106234 152174016520 241904212468 302380265585 304348033040 483808424936 604760531170 967616849872 1209521062340 1753805540393 2419042124680 3507611080786 4838084249360 7015222161572 8769027701965 14030444323144 17538055403930 28060888646288 35076110807860 70152221615720 140304443231440