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1444604938140 = 22357135916012801
BaseRepresentation
bin10101000001011001001…
…010100000011110011100
312010002210000001102112210
4111001121022200132130
5142132022331010030
63023350425200420
7206240441241330
oct25013112403634
95102700042483
101444604938140
11507720910531
121b3b83330110
13a62c1a152b0
144dcc25db7c0
152789e062bb0
hex150592a079c

1444604938140 has 384 divisors, whose sum is σ = 5067680163840. Its totient is φ = 299335680000.

The previous prime is 1444604938099. The next prime is 1444604938141. The reversal of 1444604938140 is 418394064441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444604938140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444604938141) by changing a digit.

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, 515744740 + ... + 515747540.

It is an arithmetic number, because the mean of its divisors is an integer number (13197083760).

Almost surely, 21444604938140 is an apocalyptic number.

1444604938140 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 1444604938140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533840081920).

1444604938140 is an abundant number, since it is smaller than the sum of its proper divisors (3623075225700).

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

1444604938140 is a wasteful number, since it uses less digits than its factorization.

1444604938140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 1444604938140 in words is "one trillion, four hundred forty-four billion, six hundred four million, nine hundred thirty-eight thousand, one hundred forty".