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6040142100 = 22325247914011
BaseRepresentation
bin1011010000000010…
…10100000100010100
3120120221121000021200
411220001110010110
544332234021400
62435205112500
7302452234506
oct55001240424
916527530250
106040142100
11261a559183
1212069b8730
137534b21a5
1441429bd76
15255416b00
hex168054114

6040142100 has 108 divisors (see below), whose sum is σ = 18973368960. Its totient is φ = 1607227200.

The previous prime is 6040142081. The next prime is 6040142111. The reversal of 6040142100 is 12410406.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424095 + ... + 438105.

Almost surely, 26040142100 is an apocalyptic number.

6040142100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6040142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486684480).

6040142100 is an abundant number, since it is smaller than the sum of its proper divisors (12933226860).

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

6040142100 is a wasteful number, since it uses less digits than its factorization.

6040142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14510 (or 14500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6040142100 is about 77718.3511147785. The cubic root of 6040142100 is about 1821.1639798883.

Adding to 6040142100 its reverse (12410406), we get a palindrome (6052552506).

The spelling of 6040142100 in words is "six billion, forty million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 479 900 958 1437 1916 2395 2874 4311 4790 5748 7185 8622 9580 11975 14011 14370 17244 21555 23950 28022 28740 35925 42033 43110 47900 56044 70055 71850 84066 86220 107775 126099 140110 143700 168132 210165 215550 252198 280220 350275 420330 431100 504396 630495 700550 840660 1050825 1260990 1401100 2101650 2521980 3152475 4203300 6304950 6711269 12609900 13422538 20133807 26845076 33556345 40267614 60401421 67112690 80535228 100669035 120802842 134225380 167781725 201338070 241605684 302007105 335563450 402676140 503345175 604014210 671126900 1006690350 1208028420 1510035525 2013380700 3020071050 6040142100