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4044461312 = 28231514549
BaseRepresentation
bin1111000100010001…
…1001010100000000
3101102212100220220102
43301010121110000
531240340230222
61505154501532
7202140232253
oct36104312400
911385326812
104044461312
111795aa1711
1294a5948a8
134c5bbaa98
142a520909a
1518a108d92
hexf1119500

4044461312 has 72 divisors (see below), whose sum is σ = 8481782400. Its totient is φ = 1921075200.

The previous prime is 4044461303. The next prime is 4044461321. The reversal of 4044461312 is 2131644404.

It is an interprime number because it is at equal distance from previous prime (4044461303) and next prime (4044461321).

It is a super-2 number, since 2×40444613122 = 32715334608529522688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886814 + ... + 891362.

Almost surely, 24044461312 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 4044461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240891200).

4044461312 is an abundant number, since it is smaller than the sum of its proper divisors (4437321088).

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

4044461312 is a wasteful number, since it uses less digits than its factorization.

4044461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4044461312 is about 63596.0793760119. The cubic root of 4044461312 is about 1593.2608884195.

The spelling of 4044461312 in words is "four billion, forty-four million, four hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 151 184 256 302 368 604 736 1208 1472 2416 2944 3473 4549 4832 5888 6946 9098 9664 13892 18196 19328 27784 36392 38656 55568 72784 104627 111136 145568 209254 222272 291136 418508 444544 582272 686899 837016 889088 1164544 1373798 1674032 2747596 3348064 5495192 6696128 10990384 13392256 15798677 21980768 26784512 31597354 43961536 63194708 87923072 126389416 175846144 252778832 505557664 1011115328 2022230656 4044461312