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43948091044 = 221121327332
BaseRepresentation
bin101000111011100000…
…101010011010100100
311012102211002100020201
4220323200222122210
51210001202403134
632104532040244
73114034416214
oct507340523244
9135384070221
1043948091044
1117702608300
128626163084
1341b4ccaa00
1421aca8c244
151223406914
hexa3b82a6a4

43948091044 has 81 divisors (see below), whose sum is σ = 91664592579. Its totient is φ = 18414601920.

The previous prime is 43948091039. The next prime is 43948091051. The reversal of 43948091044 is 44019084934.

The square root of 43948091044 is 209638.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2625332644 + 41322758400 = 51238^2 + 203280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 43948090985 and 43948091003.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59956102 + ... + 59956834.

Almost surely, 243948091044 is an apocalyptic number.

43948091044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

43948091044 is the 209638-th square number.

It is an amenable number.

43948091044 is an abundant number, since it is smaller than the sum of its proper divisors (47716501535).

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

43948091044 is a wasteful number, since it uses less digits than its factorization.

43948091044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 43948091044 in words is "forty-three billion, nine hundred forty-eight million, ninety-one thousand, forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 733 1466 1573 1859 2932 3146 3718 6292 7436 8063 9529 16126 19058 20449 32252 38116 40898 81796 88693 104819 123877 177386 209638 247754 354772 419276 495508 537289 1074578 1153009 1362647 2149156 2306018 2725294 4612036 5450588 5910179 6984757 11820358 13969514 14989117 23640716 27939028 29978234 59956468 65011969 76832327 90801841 130023938 153664654 181603682 260047876 307329308 363207364 845155597 998820251 1690311194 1997640502 3380622388 3995281004 10987022761 21974045522 43948091044