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44429051524 = 22114132672
BaseRepresentation
bin101001011000001011…
…011000011010000100
311020200100002122222211
4221120023120122010
51211442314122044
632224352433204
73131664464314
oct513013303204
9136610078884
1044429051524
111792a050000
12873b248804
134260847900
1422168c9444
15125075d634
hexa582d8684

44429051524 has 135 divisors (see below), whose sum is σ = 94013211285. Its totient is φ = 18363327840.

The previous prime is 44429051497. The next prime is 44429051581. The reversal of 44429051524 is 42515092444.

The square root of 44429051524 is 210782.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6572344900 + 37856706624 = 81070^2 + 194568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 663120139 + ... + 663120205.

Almost surely, 244429051524 is an apocalyptic number.

44429051524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44429051524 is the 210782-nd square number.

It is an amenable number.

44429051524 is an abundant number, since it is smaller than the sum of its proper divisors (49584159761).

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

44429051524 is an equidigital number, since it uses as much as digits as its factorization.

44429051524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 44429051524 in words is "forty-four billion, four hundred twenty-nine million, fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 67 121 134 143 169 242 268 286 338 484 572 676 737 871 1331 1474 1573 1742 1859 2662 2948 3146 3484 3718 4489 5324 6292 7436 8107 8978 9581 11323 14641 16214 17303 17956 19162 20449 22646 29282 32428 34606 38324 40898 45292 49379 58357 58564 69212 81796 89177 98758 105391 116714 124553 178354 190333 197516 210782 224939 233428 249106 356708 380666 421564 449878 498212 543169 641927 758641 761332 899756 980947 1086338 1159301 1283854 1370083 1517282 1961894 2172676 2318602 2474329 2567708 2740166 3034564 3923788 4637204 4948658 5480332 5974859 7061197 8345051 9897316 11949718 12752311 14122394 15070913 16690102 23899436 25504622 28244788 30141826 33380204 51009244 60283652 65723449 77673167 91795561 131446898 155346334 165780043 183591122 262893796 310692668 331560086 367182244 663120172 854404837 1009751171 1708809674 2019502342 3417619348 4039004684 11107262881 22214525762 44429051524