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144110113323400 = 2352718122715591607
BaseRepresentation
bin100000110001000101000000…
…000111001111100110001000
3200220020210101120120122101101
4200301011000013033212020
5122342100003002322100
61230255134435431144
742232416644065450
oct4061050007174610
9626223346518341
10144110113323400
1141a10835034524
12141b56094554b4
1362546aa332ca3
142782d768acd60
15119d97c4c686a
hex8311401cf988

144110113323400 has 384 divisors, whose sum is σ = 387221816217600. Its totient is φ = 48857942707200.

The previous prime is 144110113323307. The next prime is 144110113323433. The reversal of 144110113323400 is 4323311011441.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 95 ways as a sum of consecutive naturals, for example, 89676485397 + ... + 89676487003.

It is an arithmetic number, because the mean of its divisors is an integer number (1008390146400).

Almost surely, 2144110113323400 is an apocalyptic number.

144110113323400 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 144110113323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193610908108800).

144110113323400 is an abundant number, since it is smaller than the sum of its proper divisors (243111702894200).

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

144110113323400 is a wasteful number, since it uses less digits than its factorization.

144110113323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144110113323400 its reverse (4323311011441), we get a palindrome (148433424334841).

The spelling of 144110113323400 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred thirteen million, three hundred twenty-three thousand, four hundred".