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144940139136 = 27321319150671
BaseRepresentation
bin1000011011111100011…
…0110000001010000000
3111212010010102221122100
42012333012300022000
54333314133423021
6150330134110400
713320515566212
oct2067706601200
9455103387570
10144940139136
1156517a25861
12241101ab400
131088b1c2050
14702d78a5b2
153b847a1626
hex21bf1b0280

144940139136 has 192 divisors, whose sum is σ = 451524003840. Its totient is φ = 44362598400.

The previous prime is 144940139111. The next prime is 144940139189. The reversal of 144940139136 is 631931049441.

144940139136 is a `hidden beast` number, since 1 + 449 + 40 + 1 + 39 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 144940139091 and 144940139100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2835081 + ... + 2885751.

It is an arithmetic number, because the mean of its divisors is an integer number (2351687520).

Almost surely, 2144940139136 is an apocalyptic number.

144940139136 is a gapful number since it is divisible by the number (16) 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 144940139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225762001920).

144940139136 is an abundant number, since it is smaller than the sum of its proper divisors (306583864704).

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

144940139136 is a wasteful number, since it uses less digits than its factorization.

144940139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50895 (or 50880 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 144940139136 in words is "one hundred forty-four billion, nine hundred forty million, one hundred thirty-nine thousand, one hundred thirty-six".