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244293420130144 = 257211314310625341
BaseRepresentation
bin110111100010111011111110…
…100001110001111101100000
31012000222020000110222202222121
4313202323332201301331200
5224010000411023131034
62223322503051314024
7102312421454343100
oct6742737641617540
91160866013882877
10244293420130144
1170926291a46710
122349585014b914
13a640a03216a48
144447c16749200
151d399749491b4
hexde2efe871f60

244293420130144 has 288 divisors, whose sum is σ = 644677070349312. Its totient is φ = 89966878848000.

The previous prime is 244293420130093. The next prime is 244293420130147. The reversal of 244293420130144 is 441031024392442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 244293420130144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244293420130147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17678914 + ... + 28304254.

It is an arithmetic number, because the mean of its divisors is an integer number (2238462049824).

Almost surely, 2244293420130144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244293420130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322338535174656).

244293420130144 is an abundant number, since it is smaller than the sum of its proper divisors (400383650219168).

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

244293420130144 is a wasteful number, since it uses less digits than its factorization.

244293420130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625450 (or 10625435 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 244293420130144 in words is "two hundred forty-four trillion, two hundred ninety-three billion, four hundred twenty million, one hundred thirty thousand, one hundred forty-four".