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44231322040 = 23531612812081
BaseRepresentation
bin101001001100011001…
…000110100110111000
311020011120000222010121
4221030121012212320
51211041204301130
632153010423024
73124044014443
oct511431064670
9136146028117
1044231322040
1117838478a04
1286a4b91a74
13422b8a6c09
1421d853865a
15123d201d7a
hexa4c6469b8

44231322040 has 128 divisors (see below), whose sum is σ = 104836861440. Its totient is φ = 16773120000.

The previous prime is 44231321993. The next prime is 44231322049. The reversal of 44231322040 is 4022313244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44231321996 and 44231322014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44231322049) 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, 21253800 + ... + 21255880.

It is an arithmetic number, because the mean of its divisors is an integer number (819037980).

Almost surely, 244231322040 is an apocalyptic number.

44231322040 is a gapful number since it is divisible by the number (40) 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 44231322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52418430720).

44231322040 is an abundant number, since it is smaller than the sum of its proper divisors (60605539400).

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

44231322040 is a wasteful number, since it uses less digits than its factorization.

44231322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 44231322040 its reverse (4022313244), we get a palindrome (48253635284).

The spelling of 44231322040 in words is "forty-four billion, two hundred thirty-one million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 61 62 122 124 155 244 248 281 305 310 488 562 610 620 1124 1220 1240 1405 1891 2081 2248 2440 2810 3782 4162 5620 7564 8324 8711 9455 10405 11240 15128 16648 17141 17422 18910 20810 34282 34844 37820 41620 43555 64511 68564 69688 75640 83240 85705 87110 126941 129022 137128 171410 174220 253882 258044 322555 342820 348440 507764 516088 531371 584761 634705 645110 685640 1015528 1062742 1169522 1269410 1290220 2125484 2339044 2538820 2580440 2656855 2923805 3935171 4250968 4678088 5077640 5313710 5847610 7870342 10627420 11695220 15740684 18127591 19675855 21254840 23390440 31481368 35670421 36255182 39351710 71340842 72510364 78703420 90637955 142681684 145020728 157406840 178352105 181275910 285363368 356704210 362551820 713408420 725103640 1105783051 1426816840 2211566102 4423132204 5528915255 8846264408 11057830510 22115661020 44231322040