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44340012440 = 23543472692039
BaseRepresentation
bin101001010010110111…
…101110010110011000
311020110010120000022222
4221102313232112120
51211302020344230
632211452203212
73126533613203
oct512267562630
9136403500288
1044340012440
1117893865689
128715469508
134248271169
142208b4c93a
151247a216e5
hexa52dee598

44340012440 has 128 divisors (see below), whose sum is σ = 104696064000. Its totient is φ = 16883639808.

The previous prime is 44340012433. The next prime is 44340012449. The reversal of 44340012440 is 4421004344.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44340012449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21744941 + ... + 21746979.

It is an arithmetic number, because the mean of its divisors is an integer number (817938000).

Almost surely, 244340012440 is an apocalyptic number.

44340012440 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 44340012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52348032000).

44340012440 is an abundant number, since it is smaller than the sum of its proper divisors (60356051560).

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

44340012440 is a wasteful number, since it uses less digits than its factorization.

44340012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2405 counting only the distinct ones).

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

Adding to 44340012440 its reverse (4421004344), we get a palindrome (48761016784).

The spelling of 44340012440 in words is "forty-four billion, three hundred forty million, twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 47 86 94 172 188 215 235 269 344 376 430 470 538 860 940 1076 1345 1720 1880 2021 2039 2152 2690 4042 4078 5380 8084 8156 10105 10195 10760 11567 12643 16168 16312 20210 20390 23134 25286 40420 40780 46268 50572 57835 63215 80840 81560 87677 92536 95833 101144 115670 126430 175354 191666 231340 252860 350708 383332 438385 462680 479165 505720 543649 548491 701416 766664 876770 958330 1087298 1096982 1753540 1916660 2174596 2193964 2718245 2742455 3507080 3833320 4120819 4349192 4387928 5436490 5484910 8241638 10872980 10969820 16483276 20604095 21745960 21939640 23585113 25779077 32966552 41208190 47170226 51558154 82416380 94340452 103116308 117925565 128895385 164832760 188680904 206232616 235851130 257790770 471702260 515581540 943404520 1031163080 1108500311 2217000622 4434001244 5542501555 8868002488 11085003110 22170006220 44340012440