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44400040440 = 23357431229237
BaseRepresentation
bin101001010110011100…
…101101100111111000
311020121022111202021020
4221112130231213320
51211412402243230
632221434542440
73131163055020
oct512634554770
9136538452236
1044400040440
11179147355a8
128731597a20
13425782aaa2
142212ad6a80
15124ce2c810
hexa5672d9f8

44400040440 has 128 divisors (see below), whose sum is σ = 155769039360. Its totient is φ = 9912559104.

The previous prime is 44400040381. The next prime is 44400040499. The reversal of 44400040440 is 4404000444.

It is an interprime number because it is at equal distance from previous prime (44400040381) and next prime (44400040499).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44400040440.

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, 578499 + ... + 650738.

It is an arithmetic number, because the mean of its divisors is an integer number (1216945620).

Almost surely, 244400040440 is an apocalyptic number.

44400040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400040440 is an abundant number, since it is smaller than the sum of its proper divisors (111368998920).

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

44400040440 is a wasteful number, since it uses less digits than its factorization.

44400040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229301 (or 1229297 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44400040440 its reverse (4404000444), we get a palindrome (48804040884).

It can be divided in two parts, 444000404 and 40, that added together give a palindrome (444000444).

The spelling of 44400040440 in words is "forty-four billion, four hundred million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 18060 36120 1229237 2458474 3687711 4916948 6146185 7375422 8604659 9833896 12292370 14750844 17209318 18438555 24584740 25813977 29501688 34418636 36877110 43023295 49169480 51627954 52857191 68837272 73754220 86046590 103255908 105714382 129069885 147508440 158571573 172093180 206511816 211428764 258139770 264285955 317143146 344186360 370000337 422857528 516279540 528571910 634286292 740000674 792857865 1032559080 1057143820 1110001011 1268572584 1480001348 1585715730 1850001685 2114287640 2220002022 2960002696 3171431460 3700003370 4440004044 5550005055 6342862920 7400006740 8880008088 11100010110 14800013480 22200020220 44400040440