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244012141440 = 2733561231493
BaseRepresentation
bin1110001101000001000…
…0011100101110000000
3212022211121220010101000
43203100100130232000
512444214102011230
6304033031012000
723425563660114
oct3432020345600
9768747803330
10244012141440
1194537546511
123b35b20a000
131a019684612
14bb4b483744
1565322cdb60
hex38d041cb80

244012141440 has 256 divisors, whose sum is σ = 878380833600. Its totient is φ = 64002908160.

The previous prime is 244012141423. The next prime is 244012141441. The reversal of 244012141440 is 44141210442.

It is a happy number.

244012141440 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 1 + 214 + 1 + 440 = 666.

244012141440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244012141441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938334 + ... + 1169826.

Almost surely, 2244012141440 is an apocalyptic number.

244012141440 is a gapful number since it is divisible by the number (20) 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 244012141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439190416800).

244012141440 is an abundant number, since it is smaller than the sum of its proper divisors (634368692160).

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

244012141440 is a wasteful number, since it uses less digits than its factorization.

244012141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231582 (or 231564 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 244012141440 its reverse (44141210442), we get a palindrome (288153351882).

The spelling of 244012141440 in words is "two hundred forty-four billion, twelve million, one hundred forty-one thousand, four hundred forty".