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4145442444 = 2232111323157223
BaseRepresentation
bin1111011100010110…
…0110111010001100
3101200220101021222100
43313011212322030
531442213124234
61523203115100
7204504452013
oct36705467214
911626337870
104145442444
111837aa32a0
12978372a90
13510ab6030
142b47b3a7a
15193e04399
hexf7166e8c

4145442444 has 288 divisors, whose sum is σ = 12985749504. Its totient is φ = 1097141760.

The previous prime is 4145442443. The next prime is 4145442449. The reversal of 4145442444 is 4442445414.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4145442399 and 4145442408.

It is not an unprimeable number, because it can be changed into a prime (4145442443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18589317 + ... + 18589539.

It is an arithmetic number, because the mean of its divisors is an integer number (45089408).

Almost surely, 24145442444 is an apocalyptic number.

4145442444 is a gapful number since it is divisible by the number (44) 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 4145442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492874752).

4145442444 is an abundant number, since it is smaller than the sum of its proper divisors (8840307060).

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

4145442444 is a wasteful number, since it uses less digits than its factorization.

4145442444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

The square root of 4145442444 is about 64385.1104215874. The cubic root of 4145442444 is about 1606.4120871139.

Adding to 4145442444 its reverse (4442445414), we get a palindrome (8587887858).

The spelling of 4145442444 in words is "four billion, one hundred forty-five million, four hundred forty-two thousand, four hundred forty-four".