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44400412224 = 263373670669
BaseRepresentation
bin101001010110011110…
…001000011001000000
311020121100012122021000
4221112132020121000
51211413001142344
632221450532000
73131166163650
oct512636103100
9136540178230
1044400412224
1117914969963
128731737000
13425792b08c
142212b92360
15124cea2a69
hexa56788640

44400412224 has 112 divisors (see below), whose sum is σ = 149176028800. Its totient is φ = 12685828608.

The previous prime is 44400412223. The next prime is 44400412229. The reversal of 44400412224 is 42221400444.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×444004122242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44400412223) 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, 1823239 + ... + 1847430.

Almost surely, 244400412224 is an apocalyptic number.

It is an amenable number.

44400412224 is an abundant number, since it is smaller than the sum of its proper divisors (104775616576).

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

44400412224 is a wasteful number, since it uses less digits than its factorization.

44400412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670697 (or 3670681 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44400412224 its reverse (42221400444), we get a palindrome (86621812668).

The spelling of 44400412224 in words is "forty-four billion, four hundred million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 3670669 7341338 11012007 14682676 22024014 25694683 29365352 33036021 44048028 51389366 58730704 66072042 77084049 88096056 99108063 102778732 117461408 132144084 154168098 176192112 198216126 205557464 231252147 234922816 264288168 308336196 352384224 396432252 411114928 462504294 528576336 616672392 693756441 704768448 792864504 822229856 925008588 1057152672 1233344784 1387512882 1585729008 1644459712 1850017176 2114305344 2466689568 2775025764 3171458016 3700034352 4933379136 5550051528 6342916032 7400068704 11100103056 14800137408 22200206112 44400412224