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44121230240 = 255897574093
BaseRepresentation
bin101001000101110101…
…001000101110100000
311012212212212201120112
4221011311020232200
51210330013331430
632134035030452
73121236161213
oct510565105640
9135785781515
1044121230240
111779131434a
12867413b428
134211b3bb39
1421c7a7b77a
151233707195
hexa45d48ba0

44121230240 has 96 divisors (see below), whose sum is σ = 105572633040. Its totient is φ = 17422884864.

The previous prime is 44121230207. The next prime is 44121230267. The reversal of 44121230240 is 4203212144.

It can be written as a sum of positive squares in 8 ways, for example, as 12649051024 + 31472179216 = 112468^2 + 177404^2 .

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, 10777634 + ... + 10781726.

Almost surely, 244121230240 is an apocalyptic number.

44121230240 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 44121230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52786316520).

44121230240 is an abundant number, since it is smaller than the sum of its proper divisors (61451402800).

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

44121230240 is a wasteful number, since it uses less digits than its factorization.

44121230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 44121230240 its reverse (4203212144), we get a palindrome (48324442384).

The spelling of 44121230240 in words is "forty-four billion, one hundred twenty-one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 757 890 1424 1514 1780 2848 3028 3560 3785 4093 6056 7120 7570 8186 12112 14240 15140 16372 20465 24224 30280 32744 40930 60560 65488 67373 81860 121120 130976 134746 163720 269492 327440 336865 364277 538984 654880 673730 728554 1077968 1347460 1457108 1821385 2155936 2694920 2914216 3098401 3642770 5389840 5828432 6196802 7285540 10779680 11656864 12393604 14571080 15492005 24787208 29142160 30984010 49574416 58284320 61968020 99148832 123936040 247872080 275757689 495744160 551515378 1103030756 1378788445 2206061512 2757576890 4412123024 5515153780 8824246048 11030307560 22060615120 44121230240