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4140457400 = 235222990403
BaseRepresentation
bin1111011011001010…
…0101110110111000
3101200120000000210002
43312302211312320
531434424114100
61522504212132
7204414210242
oct36662456670
911616000702
104140457400
1118351a8a22
1297676a048
1350ca5bcc1
142b3c77092
1519376c2d5
hexf6ca5db8

4140457400 has 48 divisors (see below), whose sum is σ = 9668707800. Its totient is φ = 1648932480.

The previous prime is 4140457393. The next prime is 4140457417. The reversal of 4140457400 is 47540414.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 599 + ... + 91001.

Almost surely, 24140457400 is an apocalyptic number.

4140457400 is a gapful number since it is divisible by the number (40) 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 4140457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834353900).

4140457400 is an abundant number, since it is smaller than the sum of its proper divisors (5528250400).

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

4140457400 is a wasteful number, since it uses less digits than its factorization.

4140457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90648 (or 90639 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 4140457400 is about 64346.3860679059. The cubic root of 4140457400 is about 1605.7679060102.

Adding to 4140457400 its reverse (47540414), we get a palindrome (4187997814).

The spelling of 4140457400 in words is "four billion, one hundred forty million, four hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 4580 5725 9160 11450 22900 45800 90403 180806 361612 452015 723224 904030 1808060 2260075 3616120 4520150 9040300 18080600 20702287 41404574 82809148 103511435 165618296 207022870 414045740 517557175 828091480 1035114350 2070228700 4140457400