Search a number
-
+
144053411040 = 25335711433061
BaseRepresentation
bin1000011000101001000…
…0001001110011100000
3111202211022220111101000
42012022100021303200
54330010133123130
6150102140312000
713256530535130
oct2061220116340
9452738814330
10144053411040
1156102438920
1223b03242600
1310779594576
146d87ac6ac0
153b319e7260
hex218a409ce0

144053411040 has 384 divisors, whose sum is σ = 628598154240. Its totient is φ = 29933107200.

The previous prime is 144053411023. The next prime is 144053411077. The reversal of 144053411040 is 40114350441.

144053411040 is a `hidden beast` number, since 14 + 4 + 0 + 534 + 110 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144053410995 and 144053411013.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 116110 + ... + 549170.

It is an arithmetic number, because the mean of its divisors is an integer number (1636974360).

Almost surely, 2144053411040 is an apocalyptic number.

144053411040 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 144053411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314299077120).

144053411040 is an abundant number, since it is smaller than the sum of its proper divisors (484544743200).

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

144053411040 is a wasteful number, since it uses less digits than its factorization.

144053411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433103 (or 433089 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 144053411040 its reverse (40114350441), we get a palindrome (184167761481).

The spelling of 144053411040 in words is "one hundred forty-four billion, fifty-three million, four hundred eleven thousand, forty".