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244004401014 = 231141137658187
BaseRepresentation
bin1110001100111111001…
…0111010111101110110
3212022211002022212111120
43203033302322331312
512444210111313024
6304032153044410
723425441121223
oct3431762727566
9768732285446
10244004401014
1194533139a70
123b3586b6706
131a017ba439a
14bb4a42a94a
1565317a0479
hex38cfcbaf76

244004401014 has 64 divisors (see below), whose sum is σ = 549339501312. Its totient is φ = 71610636800.

The previous prime is 244004400971. The next prime is 244004401021. The reversal of 244004401014 is 410104400442.

It is a happy number.

It is a super-3 number, since 3×2440044010143 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41629 + ... + 699815.

It is an arithmetic number, because the mean of its divisors is an integer number (8583429708).

Almost surely, 2244004401014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244004401014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274669750656).

244004401014 is an abundant number, since it is smaller than the sum of its proper divisors (305335100298).

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

244004401014 is a wasteful number, since it uses less digits than its factorization.

244004401014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658381.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 244004401014 its reverse (410104400442), we get a palindrome (654108801456).

The spelling of 244004401014 in words is "two hundred forty-four billion, four million, four hundred one thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 137 246 274 411 451 822 902 1353 1507 2706 3014 4521 5617 9042 11234 16851 33702 61787 123574 185361 370722 658187 1316374 1974561 3949122 7240057 14480114 21720171 26985667 43440342 53971334 80957001 90171619 161914002 180343238 270514857 296842337 541029714 593684674 890527011 991887809 1781054022 1983775618 2975663427 3697036379 5951326854 7394072758 11091109137 22182218274 40667400169 81334800338 122002200507 244004401014