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4446137740 = 2251123894723
BaseRepresentation
bin1000010010000001…
…01010110110001100
3102110212012012101011
410021000222312030
533101202401430
62013104055004
7215115355462
oct41100526614
912425165334
104446137740
111981802100
12a41004464
1355b198445
143026c8832
151b04ee22a
hex10902ad8c

4446137740 has 72 divisors (see below), whose sum is σ = 10291422960. Its totient is φ = 1612279680.

The previous prime is 4446137737. The next prime is 4446137741. The reversal of 4446137740 is 477316444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4446137693 and 4446137702.

It is not an unprimeable number, because it can be changed into a prime (4446137741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939019 + ... + 943741.

It is an arithmetic number, because the mean of its divisors is an integer number (142936430).

Almost surely, 24446137740 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 4446137740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145711480).

4446137740 is an abundant number, since it is smaller than the sum of its proper divisors (5845285220).

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

4446137740 is a wasteful number, since it uses less digits than its factorization.

4446137740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 4446137740 is about 66679.3651739427. The cubic root of 4446137740 is about 1644.3501576726.

The spelling of 4446137740 in words is "four billion, four hundred forty-six million, one hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 389 484 605 778 1210 1556 1945 2420 3890 4279 4723 7780 8558 9446 17116 18892 21395 23615 42790 47069 47230 51953 85580 94138 94460 103906 188276 207812 235345 259765 470690 519530 571483 941380 1039060 1142966 1837247 2285932 2857415 3674494 5714830 7348988 9186235 11429660 18372470 20209717 36744940 40419434 80838868 101048585 202097170 222306887 404194340 444613774 889227548 1111534435 2223068870 4446137740