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44252352144 = 243271113523587
BaseRepresentation
bin101001001101101001…
…010100111010010000
311020020000121102000100
4221031221110322100
51211112100232034
632155041252400
73124420533630
oct511551247220
9136200542010
1044252352144
1117849332160
1286b0034100
13423305b170
1421db2506c0
15123eea8099
hexa4da54e90

44252352144 has 480 divisors, whose sum is σ = 166883318784. Its totient is φ = 10571627520.

The previous prime is 44252352121. The next prime is 44252352169. The reversal of 44252352144 is 44125325244.

44252352144 is a `hidden beast` number, since 4 + 42 + 52 + 3 + 521 + 44 = 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 = 44252352099 and 44252352108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75387019 + ... + 75387605.

Almost surely, 244252352144 is an apocalyptic number.

44252352144 is a gapful number since it is divisible by the number (44) 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 44252352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83441659392).

44252352144 is an abundant number, since it is smaller than the sum of its proper divisors (122630966640).

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

44252352144 is a wasteful number, since it uses less digits than its factorization.

44252352144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 44252352144 its reverse (44125325244), we get a palindrome (88377677388).

The spelling of 44252352144 in words is "forty-four billion, two hundred fifty-two million, three hundred fifty-two thousand, one hundred forty-four".