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144434654100 = 22325211193720753
BaseRepresentation
bin1000011010000011111…
…0011110101110010100
3111210210220021122112100
42012200332132232110
54331300232412400
6150204035522100
713302140206002
oct2064076365624
9453726248470
10144434654100
1156288662430
1223baaa59330
131080a569489
146dc25a7a72
153b55203100
hex21a0f9eb94

144434654100 has 432 divisors, whose sum is σ = 533948950080. Its totient is φ = 32273510400.

The previous prime is 144434654099. The next prime is 144434654149. The reversal of 144434654100 is 1456434441.

144434654100 is a `hidden beast` number, since 144 + 43 + 4 + 65 + 410 + 0 = 666.

144434654100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444346541002 (a number of 23 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 6949324 + ... + 6970076.

It is an arithmetic number, because the mean of its divisors is an integer number (1235992940).

Almost surely, 2144434654100 is an apocalyptic number.

144434654100 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 144434654100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266974475040).

144434654100 is an abundant number, since it is smaller than the sum of its proper divisors (389514295980).

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

144434654100 is a wasteful number, since it uses less digits than its factorization.

144434654100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 144434654100 in words is "one hundred forty-four billion, four hundred thirty-four million, six hundred fifty-four thousand, one hundred".