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44200043120 = 2453783179909
BaseRepresentation
bin101001001010100001…
…110010001001110000
311020002101011211112002
4221022201302021300
51211010202334440
632145532153132
73123214111322
oct511241621160
9136071154462
1044200043120
1117821854662
1286966087a8
134225274a8c
1421d4315612
15123a5c4115
hexa4a872270

44200043120 has 80 divisors (see below), whose sum is σ = 106814725920. Its totient is φ = 16994829312.

The previous prime is 44200043117. The next prime is 44200043137. The reversal of 44200043120 is 2134000244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44200043092 and 44200043101.

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, 155726 + ... + 335634.

It is an arithmetic number, because the mean of its divisors is an integer number (1335184074).

Almost surely, 244200043120 is an apocalyptic number.

44200043120 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 44200043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53407362960).

44200043120 is an abundant number, since it is smaller than the sum of its proper divisors (62614682800).

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

44200043120 is a wasteful number, since it uses less digits than its factorization.

44200043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180042 (or 180036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44200043120 its reverse (2134000244), we get a palindrome (46334043364).

The spelling of 44200043120 in words is "forty-four billion, two hundred million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 83 148 166 185 296 332 370 415 592 664 740 830 1328 1480 1660 2960 3071 3320 6142 6640 12284 15355 24568 30710 49136 61420 122840 179909 245680 359818 719636 899545 1439272 1799090 2878544 3598180 6656633 7196360 13313266 14392720 14932447 26626532 29864894 33283165 53253064 59729788 66566330 74662235 106506128 119459576 133132660 149324470 238919152 266265320 298648940 532530640 552500539 597297880 1105001078 1194595760 2210002156 2762502695 4420004312 5525005390 8840008624 11050010780 22100021560 44200043120