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144254359872 = 26327221124223
BaseRepresentation
bin1000011001011000111…
…0101101100101000000
3111210100100000202100100
42012112032231211000
54330413104003442
6150134115322400
713264520553600
oct2062616554500
9453310022310
10144254359872
11561a5909737
1223b5a5b0400
13107ac0c16bc
146da6674c00
153b4448c84c
hex21963ad940

144254359872 has 252 divisors, whose sum is σ = 483285369216. Its totient is φ = 41018503680.

The previous prime is 144254359867. The next prime is 144254359891. The reversal of 144254359872 is 278953452441.

It is a happy number.

144254359872 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 43 + 598 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5943153 + ... + 5967375.

Almost surely, 2144254359872 is an apocalyptic number.

144254359872 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 144254359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241642684608).

144254359872 is an abundant number, since it is smaller than the sum of its proper divisors (339031009344).

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

144254359872 is a wasteful number, since it uses less digits than its factorization.

144254359872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24466 (or 24446 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 144254359872 in words is "one hundred forty-four billion, two hundred fifty-four million, three hundred fifty-nine thousand, eight hundred seventy-two".