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44400112400 = 2452715857183
BaseRepresentation
bin101001010110011100…
…111111001100010000
311020121022122101222102
4221112130333030100
51211412412044100
632221440255532
73131163504560
oct512634771420
9136538571872
1044400112400
1117914784676
1287316115a8
134257854777
142212b14da0
15124ce43cd5
hexa5673f310

44400112400 has 60 divisors (see below), whose sum is σ = 121910030592. Its totient is φ = 15222894720.

The previous prime is 44400112397. The next prime is 44400112447. The reversal of 44400112400 is 421100444.

It is a happy number.

44400112400 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 2×444001124002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7925792 + ... + 7931391.

Almost surely, 244400112400 is an apocalyptic number.

44400112400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400112400 is an abundant number, since it is smaller than the sum of its proper divisors (77509918192).

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

44400112400 is a wasteful number, since it uses less digits than its factorization.

44400112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15857208 (or 15857197 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 44400112400 its reverse (421100444), we get a palindrome (44821212844).

The spelling of 44400112400 in words is "forty-four billion, four hundred million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 15857183 31714366 63428732 79285915 111000281 126857464 158571830 222000562 253714928 317143660 396429575 444001124 555001405 634287320 792859150 888002248 1110002810 1268574640 1585718300 1776004496 2220005620 2775007025 3171436600 4440011240 5550014050 6342873200 8880022480 11100028100 22200056200 44400112400