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144452943012672 = 26327673731433581
BaseRepresentation
bin100000110110000100010010…
…010110101110001101000000
3200221110120021222010022120100
4200312010102112232031000
5122413204111402401142
61231120433233442400
742266244406262640
oct4066042226561500
9627416258108510
10144452943012672
11420331704a5238
121424bb46410400
13627ab14537aa8
1427957b9d30520
1511a7844cbdb4c
hex8361125ae340

144452943012672 has 336 divisors, whose sum is σ = 481548588856192. Its totient is φ = 40547239096320.

The previous prime is 144452943012667. The next prime is 144452943012673. The reversal of 144452943012672 is 276210349254441.

144452943012672 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 529 + 4 + 30 + 12 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144452943012673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100046922 + ... + 101480502.

Almost surely, 2144452943012672 is an apocalyptic number.

144452943012672 is a gapful number since it is divisible by the number (12) 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 144452943012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240774294428096).

144452943012672 is an abundant number, since it is smaller than the sum of its proper divisors (337095645843520).

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

144452943012672 is a wasteful number, since it uses less digits than its factorization.

144452943012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434046 (or 1434033 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 144452943012672 in words is "one hundred forty-four trillion, four hundred fifty-two billion, nine hundred forty-three million, twelve thousand, six hundred seventy-two".