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144389353356 = 223323317572477
BaseRepresentation
bin1000011001111001000…
…1101010111110001100
3111210200202001010121000
42012132101222332030
54331202133301411
6150155340540300
713301050152603
oct2063621527614
9453622033530
10144389353356
11562650312a6
1223b97851690
1310801067cc1
146dba574a3a
153b51255956
hex219e46af8c

144389353356 has 192 divisors, whose sum is σ = 403914792960. Its totient is φ = 44475298560.

The previous prime is 144389353349. The next prime is 144389353393. The reversal of 144389353356 is 653353983441.

144389353356 is a `hidden beast` number, since 14 + 4 + 3 + 8 + 93 + 533 + 5 + 6 = 666.

144389353356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 58290790 + ... + 58293266.

It is an arithmetic number, because the mean of its divisors is an integer number (2103722880).

Almost surely, 2144389353356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144389353356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201957396480).

144389353356 is an abundant number, since it is smaller than the sum of its proper divisors (259525439604).

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

144389353356 is a wasteful number, since it uses less digits than its factorization.

144389353356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3293 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 144389353356 in words is "one hundred forty-four billion, three hundred eighty-nine million, three hundred fifty-three thousand, three hundred fifty-six".