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244020888540 = 22325111319226261
BaseRepresentation
bin1110001101000011000…
…1110100001111011100
3212022212020100112010200
43203100301310033130
512444223321413130
6304033542303500
723426031220632
oct3432061641734
9768766315120
10244020888540
1194541480320
123b362127b90
131a01b427b10
14bb4c6bd352
156532e5a760
hex38d0c743dc

244020888540 has 432 divisors, whose sum is σ = 917814040416. Its totient is φ = 51730099200.

The previous prime is 244020888499. The next prime is 244020888563. The reversal of 244020888540 is 45888020442.

244020888540 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 20 + 8 + 88 + 540 = 666.

244020888540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2440208885402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9279010 + ... + 9305270.

It is an arithmetic number, because the mean of its divisors is an integer number (2124569538).

Almost surely, 2244020888540 is an apocalyptic number.

244020888540 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 244020888540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458907020208).

244020888540 is an abundant number, since it is smaller than the sum of its proper divisors (673793151876).

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

244020888540 is a wasteful number, since it uses less digits than its factorization.

244020888540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26338 (or 26314 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 244020888540 in words is "two hundred forty-four billion, twenty million, eight hundred eighty-eight thousand, five hundred forty".