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144241434332100 = 223252724889919903
BaseRepresentation
bin100000110010111111010011…
…011101001000101111000100
3200220201100100120020002021100
4200302333103131020233010
5122401222424142111400
61230435333344420100
742245046131203230
oct4062772335105704
9626640316202240
10144241434332100
1141a614a334aa86
1214216b58617630
136263ba7aba071
1427894735a75c0
1511a20b62ca100
hex832fd3748bc4

144241434332100 has 216 divisors, whose sum is σ = 516726193518080. Its totient is φ = 32968110205440.

The previous prime is 144241434332069. The next prime is 144241434332101. The reversal of 144241434332100 is 1233434142441.

144241434332100 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 1 + 4 + 3 + 433 + 210 + 0 = 666.

144241434332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (144241434332101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156340749 + ... + 157260651.

Almost surely, 2144241434332100 is an apocalyptic number.

144241434332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241434332100 is an abundant number, since it is smaller than the sum of its proper divisors (372484759185980).

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

144241434332100 is a wasteful number, since it uses less digits than its factorization.

144241434332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944819 (or 944809 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144241434332100 its reverse (1233434142441), we get a palindrome (145474868474541).

The spelling of 144241434332100 in words is "one hundred forty-four trillion, two hundred forty-one billion, four hundred thirty-four million, three hundred thirty-two thousand, one hundred".