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4002201400 = 235220011007
BaseRepresentation
bin1110111010001100…
…1011111100111000
3101022220211220012111
43232203023330320
531144030421100
61501045022104
7201115102441
oct35643137470
911286756174
104002201400
11177415816a
129383b4934
134ba212712
1429d7682c8
1518655c6ba
hexee8cbf38

4002201400 has 24 divisors (see below), whose sum is σ = 9305118720. Its totient is φ = 1600880480.

The previous prime is 4002201391. The next prime is 4002201403. The reversal of 4002201400 is 41022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002201403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10005304 + ... + 10005703.

It is an arithmetic number, because the mean of its divisors is an integer number (387713280).

Almost surely, 24002201400 is an apocalyptic number.

4002201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002201400 is an abundant number, since it is smaller than the sum of its proper divisors (5302917320).

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

4002201400 is a wasteful number, since it uses less digits than its factorization.

4002201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011023 (or 20011014 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4002201400 is about 63262.9544046119. The cubic root of 4002201400 is about 1587.6922072853.

Adding to 4002201400 its reverse (41022004), we get a palindrome (4043223404).

The spelling of 4002201400 in words is "four billion, two million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20011007 40022014 80044028 100055035 160088056 200110070 400220140 500275175 800440280 1000550350 2001100700 4002201400