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144003310000 = 2454112611951
BaseRepresentation
bin1000011000011101000…
…1000010000110110000
3111202200211122002122221
42012013101002012300
54324404321410000
6150053150410424
713255351640014
oct2060721020660
9452624562587
10144003310000
1156087129200
1223aaa500a14
131076c0a2194
146d811a4544
153b2c3ec61a
hex21874421b0

144003310000 has 300 divisors, whose sum is σ = 389704904512. Its totient is φ = 51480000000.

The previous prime is 144003309979. The next prime is 144003310021. The reversal of 144003310000 is 13300441.

It is an interprime number because it is at equal distance from previous prime (144003309979) and next prime (144003310021).

It is a super-2 number, since 2×1440033100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73809025 + ... + 73810975.

Almost surely, 2144003310000 is an apocalyptic number.

144003310000 is a gapful number since it is divisible by the number (10) 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 144003310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194852452256).

144003310000 is an abundant number, since it is smaller than the sum of its proper divisors (245701594512).

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

144003310000 is a wasteful number, since it uses less digits than its factorization.

144003310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 144003310000 its reverse (13300441), we get a palindrome (144016610441).

The spelling of 144003310000 in words is "one hundred forty-four billion, three million, three hundred ten thousand".