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44130699936 = 2534107159119
BaseRepresentation
bin101001000110011001…
…010000101010100000
311012220112200211120000
4221012121100222200
51210334424344221
632135014020000
73121412521521
oct510631205240
9135815624500
1044130699936
11177966a2044
128677347600
134213aa61cb
1421c9024848
151234477e26
hexa46650aa0

44130699936 has 120 divisors (see below), whose sum is σ = 131000950080. Its totient is φ = 14572662912.

The previous prime is 44130699919. The next prime is 44130699937. The reversal of 44130699936 is 63999603144.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44130699937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 197785 + ... + 356903.

It is an arithmetic number, because the mean of its divisors is an integer number (1091674584).

Almost surely, 244130699936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44130699936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65500475040).

44130699936 is an abundant number, since it is smaller than the sum of its proper divisors (86870250144).

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

44130699936 is a wasteful number, since it uses less digits than its factorization.

44130699936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159248 (or 159231 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 44130699936 in words is "forty-four billion, one hundred thirty million, six hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 963 1284 1296 1712 1926 2568 2592 2889 3424 3852 5136 5778 7704 8667 10272 11556 15408 17334 23112 30816 34668 46224 69336 92448 138672 159119 277344 318238 477357 636476 954714 1272952 1432071 1909428 2545904 2864142 3818856 4296213 5091808 5728284 7637712 8592426 11456568 12888639 15275424 17025733 17184852 22913136 25777278 34051466 34369704 45826272 51077199 51554556 68102932 68739408 102154398 103109112 136205864 137478816 153231597 204308796 206218224 272411728 306463194 408617592 412436448 459694791 544823456 612926388 817235184 919389582 1225852776 1379084373 1634470368 1838779164 2451705552 2758168746 3677558328 4903411104 5516337492 7355116656 11032674984 14710233312 22065349968 44130699936