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3440412144 = 243413375519
BaseRepresentation
bin1100110100010000…
…1000010111110000
322212202202001020000
43031010020113300
524021221142034
61325215550000
7151154010051
oct31504102760
98782661200
103440412144
111506028624
1280022b300
1342aa05140
14248cca728
1515208b599
hexcd1085f0

3440412144 has 200 divisors, whose sum is σ = 11015336640. Its totient is φ = 1029791232.

The previous prime is 3440412127. The next prime is 3440412163. The reversal of 3440412144 is 4412140443.

3440412144 is a `hidden beast` number, since 3 + 440 + 4 + 1 + 214 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 620617 + ... + 626135.

Almost surely, 23440412144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507668320).

3440412144 is an abundant number, since it is smaller than the sum of its proper divisors (7574924496).

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

3440412144 is a wasteful number, since it uses less digits than its factorization.

3440412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3440412144 is about 58655.0265876677. The cubic root of 3440412144 is about 1509.6287472315.

Adding to 3440412144 its reverse (4412140443), we get a palindrome (7852552587).

The spelling of 3440412144 in words is "three billion, four hundred forty million, four hundred twelve thousand, one hundred forty-four".