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144230430400 = 2652732094013
BaseRepresentation
bin1000011001010011001…
…1011011011011000000
3111210021200000000021121
42012110303123123000
54330340442233100
6150131502402024
713264110300430
oct2062463333300
9453250000247
10144230430400
1156193355111
1223b52590314
13107a7163854
146da34062c0
153b4231251a
hex2194cdb6c0

144230430400 has 168 divisors, whose sum is σ = 405824070240. Its totient is φ = 49422704640.

The previous prime is 144230430391. The next prime is 144230430427. The reversal of 144230430400 is 4034032441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35938794 + ... + 35942806.

Almost surely, 2144230430400 is an apocalyptic number.

144230430400 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 144230430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202912035120).

144230430400 is an abundant number, since it is smaller than the sum of its proper divisors (261593639840).

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

144230430400 is a wasteful number, since it uses less digits than its factorization.

144230430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 144230430400 its reverse (4034032441), we get a palindrome (148264462841).

The spelling of 144230430400 in words is "one hundred forty-four billion, two hundred thirty million, four hundred thirty thousand, four hundred".