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144253132000 = 2553431914391
BaseRepresentation
bin1000011001011000101…
…0000001110011100000
3111210100020201101000121
42012112022001303200
54330412300211000
6150134033130024
713264504251025
oct2062612016340
9453306641017
10144253132000
11561a515016a
1223b5a0b9914
13107aba81853
146da643554c
153b442e8b1a
hex2196281ce0

144253132000 has 192 divisors, whose sum is σ = 364654338048. Its totient is φ = 56051520000.

The previous prime is 144253131983. The next prime is 144253132019. The reversal of 144253132000 is 231352441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32849805 + ... + 32854195.

It is an arithmetic number, because the mean of its divisors is an integer number (1899241344).

Almost surely, 2144253132000 is an apocalyptic number.

144253132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144253132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182327169024).

144253132000 is an abundant number, since it is smaller than the sum of its proper divisors (220401206048).

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

144253132000 is a wasteful number, since it uses less digits than its factorization.

144253132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 144253132000 its reverse (231352441), we get a palindrome (144484484441).

The spelling of 144253132000 in words is "one hundred forty-four billion, two hundred fifty-three million, one hundred thirty-two thousand".