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144043453440 = 2103451720431
BaseRepresentation
bin1000011000100110101…
…0001010110000000000
3111202210122011121010000
42012021222022300000
54330000111002230
6150101143040000
713256350103205
oct2061152126000
9452718147100
10144043453440
11560a78575a7
1223abba40000
13107774b90b3
146d86653cac
153b30bcbb60
hex2189a8ac00

144043453440 has 440 divisors, whose sum is σ = 546560004672. Its totient is φ = 36150312960.

The previous prime is 144043453381. The next prime is 144043453447. The reversal of 144043453440 is 44354340441.

144043453440 is a `hidden beast` number, since 1 + 4 + 40 + 43 + 4 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144043453395 and 144043453404.

It is not an unprimeable number, because it can be changed into a prime (144043453447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7040025 + ... + 7060455.

Almost surely, 2144043453440 is an apocalyptic number.

144043453440 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 144043453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273280002336).

144043453440 is an abundant number, since it is smaller than the sum of its proper divisors (402516551232).

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

144043453440 is a wasteful number, since it uses less digits than its factorization.

144043453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20485 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 144043453440 its reverse (44354340441), we get a palindrome (188397793881).

The spelling of 144043453440 in words is "one hundred forty-four billion, forty-three million, four hundred fifty-three thousand, four hundred forty".