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4002269140 = 225200113457
BaseRepresentation
bin1110111010001101…
…1100011111010100
3101022220222100010101
43232203130133110
531144040103030
61501050303444
7201115504102
oct35643343724
911286870111
104002269140
1117741a4051
12938427b84
134ba2374bc
1429d784c72
151865727ca
hexee8dc7d4

4002269140 has 12 divisors (see below), whose sum is σ = 8404765236. Its totient is φ = 1600907648.

The previous prime is 4002269137. The next prime is 4002269177. The reversal of 4002269140 is 419622004.

It can be written as a sum of positive squares in 2 ways, for example, as 1817828496 + 2184440644 = 42636^2 + 46738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002269099 and 4002269108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100056709 + ... + 100056748.

It is an arithmetic number, because the mean of its divisors is an integer number (700397103).

Almost surely, 24002269140 is an apocalyptic number.

It is an amenable number.

4002269140 is an abundant number, since it is smaller than the sum of its proper divisors (4402496096).

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

4002269140 is a wasteful number, since it uses less digits than its factorization.

4002269140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200113466 (or 200113464 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4002269140 is about 63263.4897867641. The cubic root of 4002269140 is about 1587.7011648274.

The spelling of 4002269140 in words is "four billion, two million, two hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 200113457 400226914 800453828 1000567285 2001134570 4002269140