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1050034682944 = 261325921672
BaseRepresentation
bin11110100011110101111…
…00011011110001000000
310201101022201111200011101
433101322330123301000
5114200432334323234
62122213531224144
7135601560353152
oct17217274336100
93641281450141
101050034682944
11375354227835
1214b6065a8054
137803028cc00
1438b71604ad2
151c4a91ac814
hexf47af1bc40

1050034682944 has 189 divisors, whose sum is σ = 2308989561717. Its totient is φ = 473564502528.

The previous prime is 1050034682929. The next prime is 1050034682953. The reversal of 1050034682944 is 4492864300501.

The square root of 1050034682944 is 1024712.

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., 155330574400 + 894704108544 = 394120^2 + 945888^2 .

It is a super-2 number, since 2×10500346829442 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1050034682894 and 1050034682903.

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, 6287632749 + ... + 6287632915.

Almost surely, 21050034682944 is an apocalyptic number.

1050034682944 is the 1024712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050034682944

1050034682944 is an abundant number, since it is smaller than the sum of its proper divisors (1258954878773).

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

1050034682944 is an frugal number, since it uses more digits than its factorization.

1050034682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 1050034682944 in words is "one trillion, fifty billion, thirty-four million, six hundred eighty-two thousand, nine hundred forty-four".