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144534514400 = 2552180668143
BaseRepresentation
bin1000011010011011101…
…1011010101011100000
3111211001212012002002222
42012212323122223200
54332001313430100
6150222004130212
713304462046623
oct2064673325340
9454055162088
10144534514400
1156329a68a01
1224018396968
1310825161503
146dd195ddba
153b5dd7b485
hex21a6edaae0

144534514400 has 36 divisors (see below), whose sum is σ = 352844885232. Its totient is φ = 57813805440.

The previous prime is 144534514391. The next prime is 144534514427. The reversal of 144534514400 is 4415435441.

144534514400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 90333272 + ... + 90334871.

It is an arithmetic number, because the mean of its divisors is an integer number (9801246812).

Almost surely, 2144534514400 is an apocalyptic number.

144534514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144534514400 is an abundant number, since it is smaller than the sum of its proper divisors (208310370832).

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

144534514400 is a wasteful number, since it uses less digits than its factorization.

144534514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180668163 (or 180668150 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 144534514400 its reverse (4415435441), we get a palindrome (148949949841).

The spelling of 144534514400 in words is "one hundred forty-four billion, five hundred thirty-four million, five hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 180668143 361336286 722672572 903340715 1445345144 1806681430 2890690288 3613362860 4516703575 5781380576 7226725720 9033407150 14453451440 18066814300 28906902880 36133628600 72267257200 144534514400