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4145453400 = 23352111736947
BaseRepresentation
bin1111011100010110…
…1001100101011000
3101200220101212000010
43313011221211120
531442214002100
61523203241520
7204504525654
oct36705514530
911626355003
104145453400
111838000550
129783792a0
13510abb00a
142b47b7a64
15193e07750
hexf7169958

4145453400 has 192 divisors, whose sum is σ = 14844228480. Its totient is φ = 945817600.

The previous prime is 4145453381. The next prime is 4145453407. The reversal of 4145453400 is 43545414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145453407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93727 + ... + 130673.

It is an arithmetic number, because the mean of its divisors is an integer number (77313690).

Almost surely, 24145453400 is an apocalyptic number.

4145453400 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 4145453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422114240).

4145453400 is an abundant number, since it is smaller than the sum of its proper divisors (10698775080).

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

4145453400 is a wasteful number, since it uses less digits than its factorization.

4145453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36994 (or 36985 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4145453400 is about 64385.1955033143. The cubic root of 4145453400 is about 1606.4135023094.

Adding to 4145453400 its reverse (43545414), we get a palindrome (4188998814).

The spelling of 4145453400 in words is "four billion, one hundred forty-five million, four hundred fifty-three thousand, four hundred".