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44342041040 = 24511461109303
BaseRepresentation
bin101001010010111111…
…011101100111010000
311020110021101002001022
4221102333131213100
51211303030303130
632212003455012
73126560062403
oct512277354720
9136407332038
1044342041040
1117894a20810
128716087468
13424880160b
142209119d3a
151247cc27e5
hexa52fdd9d0

44342041040 has 80 divisors (see below), whose sum is σ = 112712535936. Its totient is φ = 16089254400.

The previous prime is 44342040979. The next prime is 44342041049. The reversal of 44342041040 is 4014024344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44342041049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351029 + ... + 460331.

Almost surely, 244342041040 is an apocalyptic number.

44342041040 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 44342041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56356267968).

44342041040 is an abundant number, since it is smaller than the sum of its proper divisors (68370494896).

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

44342041040 is a wasteful number, since it uses less digits than its factorization.

44342041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109788 (or 109782 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 44342041040 its reverse (4014024344), we get a palindrome (48356065384).

The spelling of 44342041040 in words is "forty-four billion, three hundred forty-two million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 461 880 922 1844 2305 3688 4610 5071 7376 9220 10142 18440 20284 25355 36880 40568 50710 81136 101420 109303 202840 218606 405680 437212 546515 874424 1093030 1202333 1748848 2186060 2404666 4372120 4809332 6011665 8744240 9618664 12023330 19237328 24046660 48093320 50388683 96186640 100777366 201554732 251943415 403109464 503886830 554275513 806218928 1007773660 1108551026 2015547320 2217102052 2771377565 4031094640 4434204104 5542755130 8868408208 11085510260 22171020520 44342041040