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44971651242 = 232710724113841
BaseRepresentation
bin101001111000100001…
…001111000010101010
311022002011002120212200
4221320201033002222
51214100220314432
632354254321030
73151303504560
oct517041170252
9138064076780
1044971651242
1118088363221
128870ab9176
13431909692b
1422689ada30
1512831dda7c
hexa7884f0aa

44971651242 has 96 divisors (see below), whose sum is σ = 112873647744. Its totient is φ = 12675225600.

The previous prime is 44971651229. The next prime is 44971651259. The reversal of 44971651242 is 24215617944.

44971651242 is a `hidden beast` number, since 4 + 4 + 97 + 1 + 6 + 512 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3242242 + ... + 3256082.

It is an arithmetic number, because the mean of its divisors is an integer number (1175767164).

Almost surely, 244971651242 is an apocalyptic number.

44971651242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44971651242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56436823872).

44971651242 is an abundant number, since it is smaller than the sum of its proper divisors (67901996502).

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

44971651242 is a wasteful number, since it uses less digits than its factorization.

44971651242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14204 (or 14201 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 44971651242 in words is "forty-four billion, nine hundred seventy-one million, six hundred fifty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 241 321 482 642 723 749 963 1446 1498 1687 1926 2169 2247 3374 4338 4494 5061 6741 10122 13482 13841 15183 25787 27682 30366 41523 51574 77361 83046 96887 124569 154722 180509 193774 232083 249138 290661 361018 464166 541527 581322 871983 1083054 1480987 1624581 1743966 2961974 3249162 3335681 4442961 6671362 8885922 10007043 10366909 13328883 20014086 20733818 23349767 26657766 30021129 31100727 46699534 60042258 62201454 70049301 93302181 140098602 186604362 210147903 356917867 420295806 713835734 1070753601 2141507202 2498425069 3212260803 4996850138 6424521606 7495275207 14990550414 22485825621 44971651242