Search a number
-
+
44013282240 = 2635110941341
BaseRepresentation
bin101000111111011001…
…010110001111000000
311012121100202101202110
4220333121112033000
51210114400012430
632115221215320
73115455504054
oct507731261700
9135540671673
1044013282240
1117736394424
128643b61540
1341c5674795
1421b75bbc64
151228ed27b0
hexa3f6563c0

44013282240 has 112 divisors (see below), whose sum is σ = 139871561760. Its totient is φ = 11726008320.

The previous prime is 44013282239. The next prime is 44013282259. The reversal of 44013282240 is 4228231044.

44013282240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44013282198 and 44013282207.

It is a congruent number.

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, 1043970 + ... + 1085310.

It is an arithmetic number, because the mean of its divisors is an integer number (1248853230).

Almost surely, 244013282240 is an apocalyptic number.

44013282240 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 44013282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69935780880).

44013282240 is an abundant number, since it is smaller than the sum of its proper divisors (95858279520).

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

44013282240 is a wasteful number, since it uses less digits than its factorization.

44013282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42470 (or 42460 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 44013282240 in words is "forty-four billion, thirteen million, two hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1109 2218 3327 4436 5545 6654 8872 11090 13308 16635 17744 22180 26616 33270 35488 41341 44360 53232 66540 70976 82682 88720 106464 124023 133080 165364 177440 206705 212928 248046 266160 330728 354880 413410 496092 532320 620115 661456 826820 992184 1064640 1240230 1322912 1653640 1984368 2480460 2645824 3307280 3968736 4960920 6614560 7937472 9921840 13229120 19843680 39687360 45847169 91694338 137541507 183388676 229235845 275083014 366777352 458471690 550166028 687707535 733554704 916943380 1100332056 1375415070 1467109408 1833886760 2200664112 2750830140 2934218816 3667773520 4401328224 5501660280 7335547040 8802656448 11003320560 14671094080 22006641120 44013282240