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144312222213440 = 265622972399373
BaseRepresentation
bin100000110100000001001110…
…101111011110010101000000
3200220222010001220010001011022
4200310001032233132111000
5122403402412341312230
61230532041502405012
742253133253234101
oct4064011657362500
9626863056101138
10144312222213440
1141a89519255a56
1214228813290768
13626a779533598
14278ca6aab23a8
1511a3d5ab6c1e5
hex83404ebde540

144312222213440 has 56 divisors (see below), whose sum is σ = 343698652215240. Its totient is φ = 57715620968448.

The previous prime is 144312222213431. The next prime is 144312222213469. The reversal of 144312222213440 is 44312222213441.

It can be written as a sum of positive squares in 4 ways, for example, as 53734060443904 + 90578161769536 = 7330352^2 + 9517256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144312222213440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34206407 + ... + 38192966.

It is an arithmetic number, because the mean of its divisors is an integer number (6137475932415).

Almost surely, 2144312222213440 is an apocalyptic number.

144312222213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312222213440 is an abundant number, since it is smaller than the sum of its proper divisors (199386430001800).

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

144312222213440 is an equidigital number, since it uses as much as digits as its factorization.

144312222213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72405619 (or 72405609 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 144312222213440 its reverse (44312222213441), we get a palindrome (188624444426881).

Subtracting from 144312222213440 its reverse (44312222213441), we obtain a palindrome (99999999999999).

The spelling of 144312222213440 in words is "one hundred forty-four trillion, three hundred twelve billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6229 12458 24916 31145 49832 62290 99664 124580 199328 249160 398656 498320 996640 1993280 72399373 144798746 289597492 361996865 579194984 723993730 1158389968 1447987460 2316779936 2895974920 4633559872 5791949840 11583899680 23167799360 450975694417 901951388834 1803902777668 2254878472085 3607805555336 4509756944170 7215611110672 9019513888340 14431222221344 18039027776680 28862444442688 36078055553360 72156111106720 144312222213440