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154440000000 = 2933571113
BaseRepresentation
bin1000111111010101010…
…1110110001000000000
3112202122012002212212000
42033311111312020000
510012243120000000
6154540533104000
714105111224446
oct2176525661000
9482565085760
10154440000000
115a552398940
1225b21788000
13117433a8cb0
14769131cb96
15403d7ba000
hex23f5576200

154440000000 has 1280 divisors, whose sum is σ = 671342031360. Its totient is φ = 34560000000.

The previous prime is 154439999981. The next prime is 154440000023. The reversal of 154440000000 is 44451.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 11879999994 + ... + 11880000006.

It is an arithmetic number, because the mean of its divisors is an integer number (524485962).

Almost surely, 2154440000000 is an apocalyptic number.

154440000000 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 154440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335671015680).

154440000000 is an abundant number, since it is smaller than the sum of its proper divisors (516902031360).

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

154440000000 is an frugal number, since it uses more digits than its factorization.

154440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 154440000000 its reverse (44451), we get a palindrome (154440044451).

The spelling of 154440000000 in words is "one hundred fifty-four billion, four hundred forty million", and thus it is an aban number.