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44242103422400 = 26521379151178307
BaseRepresentation
bin10100000111100111010101…
…10110111100110111000000
312210122111121020220212022212
422003303222312330313000
521244330311434004100
6234032313002521252
712214246365144362
oct1203635266746700
9183574536825285
1044242103422400
1113107a74aa12a4
124b664bab06228
131b8c021480450
14acd4875a4d32
1551ac8a624635
hex283ceadbcdc0

44242103422400 has 336 divisors, whose sum is σ = 119508240983040. Its totient is φ = 16021863936000.

The previous prime is 44242103422381. The next prime is 44242103422457. The reversal of 44242103422400 is 422430124244.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 248034047 + ... + 248212353.

It is an arithmetic number, because the mean of its divisors is an integer number (355679288640).

Almost surely, 244242103422400 is an apocalyptic number.

44242103422400 is a gapful number since it is divisible by the number (40) 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 44242103422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754120491520).

44242103422400 is an abundant number, since it is smaller than the sum of its proper divisors (75266137560640).

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

44242103422400 is a wasteful number, since it uses less digits than its factorization.

44242103422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178572 (or 178557 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 44242103422400 its reverse (422430124244), we get a palindrome (44664533546644).

The spelling of 44242103422400 in words is "forty-four trillion, two hundred forty-two billion, one hundred three million, four hundred twenty-two thousand, four hundred".