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44414230120 = 23513751113731
BaseRepresentation
bin101001010111010010…
…110101111001101000
311020122022012122211221
4221113102311321220
51211430020330440
632223103031424
73131424504241
oct512722657150
9136568178757
1044414230120
1117921747507
12873629b574
13425a758650
14221494bcc8
15124e2d1d4a
hexa574b5e68

44414230120 has 64 divisors (see below), whose sum is σ = 107763344640. Its totient is φ = 16377120000.

The previous prime is 44414230061. The next prime is 44414230123. The reversal of 44414230120 is 2103241444.

It is not an unprimeable number, because it can be changed into a prime (44414230123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333655 + ... + 447385.

It is an arithmetic number, because the mean of its divisors is an integer number (1683802260).

Almost surely, 244414230120 is an apocalyptic number.

44414230120 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 44414230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53881672320).

44414230120 is an abundant number, since it is smaller than the sum of its proper divisors (63349114520).

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

44414230120 is a wasteful number, since it uses less digits than its factorization.

44414230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114506 (or 114502 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 44414230120 its reverse (2103241444), we get a palindrome (46517471564).

The spelling of 44414230120 in words is "forty-four billion, four hundred fourteen million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 751 1502 3004 3755 6008 7510 9763 15020 19526 30040 39052 48815 78104 97630 113731 195260 227462 390520 454924 568655 909848 1137310 1478503 2274620 2957006 4549240 5914012 7392515 11828024 14785030 29570060 59140120 85411981 170823962 341647924 427059905 683295848 854119810 1110355753 1708239620 2220711506 3416479240 4441423012 5551778765 8882846024 11103557530 22207115060 44414230120