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144233225440 = 2553109289951
BaseRepresentation
bin1000011001010011111…
…0000101110011100000
3111210021212021000100121
42012110332011303200
54330342201203230
6150132042330024
713264143121303
oct2062476056340
9453255230317
10144233225440
1156194994067
1223b534b9914
13107a7901b15
146da3932b3a
153b426b577a
hex2194f85ce0

144233225440 has 48 divisors (see below), whose sum is σ = 340861772160. Its totient is φ = 57674534400.

The previous prime is 144233225417. The next prime is 144233225441. The reversal of 144233225440 is 44522332441.

It is a junction number, because it is equal to n+sod(n) for n = 144233225396 and 144233225405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144233225441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352465 + ... + 642415.

It is an arithmetic number, because the mean of its divisors is an integer number (7101286920).

Almost surely, 2144233225440 is an apocalyptic number.

144233225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144233225440 is an abundant number, since it is smaller than the sum of its proper divisors (196628546720).

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

144233225440 is a wasteful number, since it uses less digits than its factorization.

144233225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293075 (or 293067 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 144233225440 its reverse (44522332441), we get a palindrome (188755557881).

The spelling of 144233225440 in words is "one hundred forty-four billion, two hundred thirty-three million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3109 6218 12436 15545 24872 31090 49744 62180 99488 124360 248720 289951 497440 579902 1159804 1449755 2319608 2899510 4639216 5799020 9278432 11598040 23196080 46392160 901457659 1802915318 3605830636 4507288295 7211661272 9014576590 14423322544 18029153180 28846645088 36058306360 72116612720 144233225440