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4044461304 = 23313127102071
BaseRepresentation
bin1111000100010001…
…1001010011111000
3101102212100220220010
43301010121103320
531240340230204
61505154501520
7202140232242
oct36104312370
911385326803
104044461304
111795aa1704
1294a5948a0
134c5bbaa90
142a5209092
1518a108d89
hexf11194f8

4044461304 has 64 divisors (see below), whose sum is σ = 10974781440. Its totient is φ = 1234638720.

The previous prime is 4044461303. The next prime is 4044461321. The reversal of 4044461304 is 4031644404.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044461303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11412 + ... + 90659.

It is an arithmetic number, because the mean of its divisors is an integer number (171480960).

Almost surely, 24044461304 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 4044461304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487390720).

4044461304 is an abundant number, since it is smaller than the sum of its proper divisors (6930320136).

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

4044461304 is a wasteful number, since it uses less digits than its factorization.

4044461304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102220 (or 102216 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4044461304 is about 63596.0793131149. The cubic root of 4044461304 is about 1593.2608873690.

The spelling of 4044461304 in words is "four billion, forty-four million, four hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 3048 3302 4953 6604 9906 13208 19812 39624 102071 204142 306213 408284 612426 816568 1224852 1326923 2449704 2653846 3980769 5307692 7961538 10615384 12963017 15923076 25926034 31846152 38889051 51852068 77778102 103704136 155556204 168519221 311112408 337038442 505557663 674076884 1011115326 1348153768 2022230652 4044461304