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4044220560 = 2432518131033
BaseRepresentation
bin1111000100001101…
…1110100010010000
3101102211220200122200
43301003132202100
531240310024220
61505145403200
7202135210332
oct36103364220
911384820580
104044220560
111795947846
1294a499500
134c5b35323
142a5185452
1518a0ac890
hexf10de890

4044220560 has 120 divisors (see below), whose sum is σ = 13657318584. Its totient is φ = 1072465920.

The previous prime is 4044220553. The next prime is 4044220561. The reversal of 4044220560 is 650224404.

4044220560 is a `hidden beast` number, since 40 + 4 + 42 + 20 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 4025141136 = 4368^2 + 63444^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4044220561) 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, 114804 + ... + 145836.

Almost surely, 24044220560 is an apocalyptic number.

4044220560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828659292).

4044220560 is an abundant number, since it is smaller than the sum of its proper divisors (9613098024).

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

4044220560 is a wasteful number, since it uses less digits than its factorization.

4044220560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31233 (or 31224 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4044220560 is about 63594.1865267573. The cubic root of 4044220560 is about 1593.2292741263.

Adding to 4044220560 its reverse (650224404), we get a palindrome (4694444964).

The spelling of 4044220560 in words is "four billion, forty-four million, two hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 181 240 360 362 543 720 724 905 1086 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 6516 7240 8145 8688 10860 13032 14480 16290 21720 26064 31033 32580 43440 62066 65160 93099 124132 130320 155165 186198 248264 279297 310330 372396 465495 496528 558594 620660 744792 930990 1117188 1241320 1396485 1489584 1861980 2234376 2482640 2792970 3723960 4468752 5585940 5616973 7447920 11171880 11233946 16850919 22343760 22467892 28084865 33701838 44935784 50552757 56169730 67403676 84254595 89871568 101105514 112339460 134807352 168509190 202211028 224678920 252763785 269614704 337018380 404422056 449357840 505527570 674036760 808844112 1011055140 1348073520 2022110280 4044220560