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44231401040 = 2451746170549
BaseRepresentation
bin101001001100011001…
…011001111001010000
311020011120011222111112
4221030121121321100
51211041214313130
632153012232452
73124044463661
oct511431317120
9136146158445
1044231401040
11178385222a2
1286a500b728
13422b903b68
1421d8559368
15123d21a495
hexa4c659e50

44231401040 has 80 divisors (see below), whose sum is σ = 109125046800. Its totient is φ = 16615464960.

The previous prime is 44231401037. The next prime is 44231401051. The reversal of 44231401040 is 4010413244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4112913424 + 40118487616 = 64132^2 + 200296^2 .

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

It is a super-2 number, since 2×442314010402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44231400997 and 44231401015.

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, 591686 + ... + 662234.

It is an arithmetic number, because the mean of its divisors is an integer number (1364063085).

Almost surely, 244231401040 is an apocalyptic number.

44231401040 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 44231401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54562523400).

44231401040 is an abundant number, since it is smaller than the sum of its proper divisors (64893645760).

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

44231401040 is a wasteful number, since it uses less digits than its factorization.

44231401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71040 (or 71034 counting only the distinct ones).

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

Adding to 44231401040 its reverse (4010413244), we get a palindrome (48241814284).

The spelling of 44231401040 in words is "forty-four billion, two hundred thirty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 461 680 922 1360 1844 2305 3688 4610 7376 7837 9220 15674 18440 31348 36880 39185 62696 70549 78370 125392 141098 156740 282196 313480 352745 564392 626960 705490 1128784 1199333 1410980 2398666 2821960 4797332 5643920 5996665 9594664 11993330 19189328 23986660 32523089 47973320 65046178 95946640 130092356 162615445 260184712 325230890 520369424 552892513 650461780 1105785026 1300923560 2211570052 2601847120 2764462565 4423140104 5528925130 8846280208 11057850260 22115700520 44231401040