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4144322436 = 2232318897949
BaseRepresentation
bin1111011100000101…
…0101011110000100
3101200211021101121120
43313001111132010
531441421304221
61523123113540
7204462105462
oct36701253604
911624241546
104144322436
1118373a8871
12977b128b0
135107b32c7
142b45a1832
15193c825c6
hexf7055784

4144322436 has 48 divisors (see below), whose sum is σ = 10097136000. Its totient is φ = 1320512512.

The previous prime is 4144322411. The next prime is 4144322447. The reversal of 4144322436 is 6342234414.

4144322436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4144322397 and 4144322406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517390 + ... + 525338.

It is an arithmetic number, because the mean of its divisors is an integer number (210357000).

Almost surely, 24144322436 is an apocalyptic number.

4144322436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4144322436 is an abundant number, since it is smaller than the sum of its proper divisors (5952813564).

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

4144322436 is a wasteful number, since it uses less digits than its factorization.

4144322436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868 (or 9866 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 4144322436 is about 64376.4121087841. The cubic root of 4144322436 is about 1606.2674015970.

The spelling of 4144322436 in words is "four billion, one hundred forty-four million, three hundred twenty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 1889 3778 5667 7556 7949 11334 15898 22668 23847 31796 43447 47694 86894 95388 130341 173788 182827 260682 365654 521364 548481 731308 1096962 2193924 15015661 30031322 45046983 60062644 90093966 180187932 345360203 690720406 1036080609 1381440812 2072161218 4144322436