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144501472440 = 233251344968767
BaseRepresentation
bin1000011010010011110…
…1010111110010111000
3111210222120000101001200
42012210331113302320
54331414334104230
6150214424014200
713303611151443
oct2064475276270
9453876011050
10144501472440
115631234aaa6
1224009301360
131081b362a60
146dcb3dc65a
153b5b001160
hex21a4f57cb8

144501472440 has 192 divisors, whose sum is σ = 506888928000. Its totient is φ = 35489857536.

The previous prime is 144501472403. The next prime is 144501472459. The reversal of 144501472440 is 44274105441.

144501472440 is a `hidden beast` number, since 1 + 4 + 450 + 147 + 24 + 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 = 144501472395 and 144501472404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2066937 + ... + 2135703.

It is an arithmetic number, because the mean of its divisors is an integer number (2640046500).

Almost surely, 2144501472440 is an apocalyptic number.

144501472440 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 144501472440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253444464000).

144501472440 is an abundant number, since it is smaller than the sum of its proper divisors (362387455560).

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

144501472440 is a wasteful number, since it uses less digits than its factorization.

144501472440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69246 (or 69239 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 144501472440 its reverse (44274105441), we get a palindrome (188775577881).

The spelling of 144501472440 in words is "one hundred forty-four billion, five hundred one million, four hundred seventy-two thousand, four hundred forty".