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3412105403424 = 253971117131259
BaseRepresentation
bin110001101001110001010…
…101001001110000100000
3110002012020111021212002220
4301221301111021300200
5421400442440402144
611131255524311040
7501342103250334
oct61516125116040
913065214255086
103412105403424
1110a607a601913
12471357242480
131b99b60b8b43
14bb20aab37c4
155db53c7d919
hex31a71549c20

3412105403424 has 96 divisors (see below), whose sum is σ = 8973944743680. Its totient is φ = 1135190534400.

The previous prime is 3412105403419. The next prime is 3412105403453. The reversal of 3412105403424 is 4243045012143.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109140307 + ... + 109171565.

It is an arithmetic number, because the mean of its divisors is an integer number (93478591080).

Almost surely, 23412105403424 is an apocalyptic number.

It is an amenable number.

3412105403424 is an abundant number, since it is smaller than the sum of its proper divisors (5561839340256).

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

3412105403424 is a wasteful number, since it uses less digits than its factorization.

3412105403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33414 (or 33406 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 3412105403424 in words is "three trillion, four hundred twelve billion, one hundred five million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 971 1171 1942 2342 2913 3513 3884 4684 5826 7026 7768 9368 11652 14052 15536 18736 23304 28104 31072 31259 37472 46608 56208 62518 93216 93777 112416 125036 187554 250072 375108 500144 750216 1000288 1137041 1500432 2274082 3000864 3411123 4548164 6822246 9096328 13644492 18192656 27288984 30352489 36385312 36604289 54577968 60704978 73208578 91057467 109155936 109812867 121409956 146417156 182114934 219625734 242819912 292834312 364229868 439251468 485639824 585668624 728459736 878502936 971279648 1171337248 1456919472 1757005872 2913838944 3514011744 35542764619 71085529238 106628293857 142171058476 213256587714 284342116952 426513175428 568684233904 853026350856 1137368467808 1706052701712 3412105403424