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144432104040324 = 2232251122531304503
BaseRepresentation
bin100000110101110000111000…
…010000010110011110000100
3200221101120111122220211121200
4200311300320100112132010
5122412333422113242244
61231103105334142500
742264606116034342
oct4065607020263604
9627346448824550
10144432104040324
1142025347436941
1214247aab4b1a30
136278b730b3419
1427947a0456992
1511a702557d669
hex835c38416784

144432104040324 has 72 divisors (see below), whose sum is σ = 366577009710912. Its totient is φ = 47948275512000.

The previous prime is 144432104040311. The next prime is 144432104040349. The reversal of 144432104040324 is 423040401234441.

144432104040324 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 210 + 404 + 0 + 32 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110065857 + ... + 111370359.

It is an arithmetic number, because the mean of its divisors is an integer number (5091347357096).

Almost surely, 2144432104040324 is an apocalyptic number.

It is an amenable number.

144432104040324 is an abundant number, since it is smaller than the sum of its proper divisors (222144905670588).

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

144432104040324 is a wasteful number, since it uses less digits than its factorization.

144432104040324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317017 (or 1317012 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144432104040324 its reverse (423040401234441), we get a palindrome (567472505274765).

The spelling of 144432104040324 in words is "one hundred forty-four trillion, four hundred thirty-two billion, one hundred four million, forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1506 2259 3012 4518 9036 12253 24506 36759 49012 73518 110277 147036 220554 441108 1304503 2609006 3075503 3913509 5218012 6151006 7827018 9226509 11740527 12302012 15654036 18453018 23481054 27679527 36906036 46962108 55359054 110718108 327430253 654860506 982290759 1309721012 1964581518 2946872277 3929163036 5893744554 11787489108 15984075259 31968150518 47952225777 63936301036 95904451554 143856677331 191808903108 287713354662 575426709324 4012002890009 8024005780018 12036008670027 16048011560036 24072017340054 36108026010081 48144034680108 72216052020162 144432104040324