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4097111940 = 2232522761733
BaseRepresentation
bin1111010000110100…
…1111011110000100
3101120112102211222200
43310031033132010
531342330040230
61514315154500
7203346606525
oct36415173604
911515384880
104097111940
111812792929
12964145a30
13503a937bc
142ac1d284c
1518ea59160
hexf434f784

4097111940 has 36 divisors (see below), whose sum is σ = 12427906764. Its totient is φ = 1092563136.

The previous prime is 4097111927. The next prime is 4097111951. The reversal of 4097111940 is 491117904.

It can be written as a sum of positive squares in 2 ways, for example, as 2197546884 + 1899565056 = 46878^2 + 43584^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4097111895 and 4097111904.

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 11 ways as a sum of consecutive naturals, for example, 11380687 + ... + 11381046.

Almost surely, 24097111940 is an apocalyptic number.

It is an amenable number.

4097111940 is an abundant number, since it is smaller than the sum of its proper divisors (8330794824).

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

4097111940 is a wasteful number, since it uses less digits than its factorization.

4097111940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22761748 (or 22761743 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 4097111940 is about 64008.6864417635. The cubic root of 4097111940 is about 1600.1447707547.

The spelling of 4097111940 in words is "four billion, ninety-seven million, one hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22761733 45523466 68285199 91046932 113808665 136570398 204855597 227617330 273140796 341425995 409711194 455234660 682851990 819422388 1024277985 1365703980 2048555970 4097111940