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44400141114 = 23723283162413
BaseRepresentation
bin101001010110011101…
…000110001100111010
311020121022200212100220
4221112131012030322
51211412414003424
632221441040510
73131163654360
oct512635061472
9136538625326
1044400141114
11179147a41aa
128731626136
134257864864
142212b21630
15124ce4c579
hexa5674633a

44400141114 has 64 divisors (see below), whose sum is σ = 106273327104. Its totient is φ = 12091248576.

The previous prime is 44400141109. The next prime is 44400141131. The reversal of 44400141114 is 41114100444.

44400141114 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 2×444001411142 (a number of 22 digits) contains 22 as substring.

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, 192172 + ... + 354584.

It is an arithmetic number, because the mean of its divisors is an integer number (1660520736).

Almost surely, 244400141114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44400141114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136663552).

44400141114 is an abundant number, since it is smaller than the sum of its proper divisors (61873185990).

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

44400141114 is a wasteful number, since it uses less digits than its factorization.

44400141114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162731.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 44400141114 its reverse (41114100444), we get a palindrome (85514241558).

The spelling of 44400141114 in words is "forty-four billion, four hundred million, one hundred forty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 283 322 483 566 849 966 1698 1981 3962 5943 6509 11886 13018 19527 39054 45563 91126 136689 162413 273378 324826 487239 974478 1136891 2273782 3410673 3735499 6821346 7470998 11206497 22412994 26148493 45962879 52296986 78445479 91925758 137888637 156890958 275777274 321740153 643480306 965220459 1057146217 1930440918 2114292434 3171438651 6342877302 7400023519 14800047038 22200070557 44400141114