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144220695696 = 2434721121372
BaseRepresentation
bin1000011001010000111…
…0010010110010010000
3111210020222200102210000
42012110032102302100
54330330444230241
6150130514010000
713263631454400
oct2062416226220
9453228612700
10144220695696
1156188906300
1223b4b276900
13107a513597c
146da1dd0800
153b4153ceb6
hex2194392c90

144220695696 has 675 divisors, whose sum is σ = 537645710217. Its totient is φ = 37186490880.

The previous prime is 144220695679. The next prime is 144220695721. The reversal of 144220695696 is 696596022441.

The square root of 144220695696 is 379764.

It is a perfect power (a square), and thus also a powerful number.

144220695696 is a `hidden beast` number, since 1 + 442 + 2 + 0 + 69 + 56 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84715923600 + 59504772096 = 291060^2 + 243936^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1052705740 + ... + 1052705876.

Almost surely, 2144220695696 is an apocalyptic number.

144220695696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144220695696 is the 379764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144220695696

144220695696 is an abundant number, since it is smaller than the sum of its proper divisors (393425014521).

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

144220695696 is a wasteful number, since it uses less digits than its factorization.

144220695696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 144220695696 in words is "one hundred forty-four billion, two hundred twenty million, six hundred ninety-five thousand, six hundred ninety-six".