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2001141400 = 235217588571
BaseRepresentation
bin111011101000110…
…1111111010011000
312011110111111221011
41313101233322120
513044243011100
6530323223304
7100406264326
oct16721577230
95143444834
102001141400
11937657175
1247a217b34
1325b786a4b
1414dab4d16
15baa3abba
hex7746fe98

2001141400 has 48 divisors (see below), whose sum is σ = 4926347640. Its totient is φ = 753369600.

The previous prime is 2001141391. The next prime is 2001141403. The reversal of 2001141400 is 41411002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001141403) 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 11 ways as a sum of consecutive naturals, for example, 290886 + ... + 297685.

Almost surely, 22001141400 is an apocalyptic number.

2001141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001141400 is an abundant number, since it is smaller than the sum of its proper divisors (2925206240).

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

2001141400 is a wasteful number, since it uses less digits than its factorization.

2001141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588604 (or 588595 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2001141400 is about 44734.1189697528. The cubic root of 2001141400 is about 1260.1606832955.

Adding to 2001141400 its reverse (41411002), we get a palindrome (2042552402).

The spelling of 2001141400 in words is "two billion, one million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 588571 1177142 2354284 2942855 4708568 5885710 10005707 11771420 14714275 20011414 23542840 29428550 40022828 50028535 58857100 80045656 100057070 117714200 200114140 250142675 400228280 500285350 1000570700 2001141400