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44160004332 = 22337114938651
BaseRepresentation
bin101001001000001001…
…000011000011101100
311012222120211122122000
4221020021003003230
51210414430114312
632141542052300
73122216562213
oct511011030354
9135876748560
1044160004332
1117801197954
12868511a090
134219b966a2
1421ccc9207a
151236d15adc
hexa482430ec

44160004332 has 96 divisors (see below), whose sum is σ = 116883648000. Its totient is φ = 14414904000.

The previous prime is 44160004309. The next prime is 44160004411. The reversal of 44160004332 is 23340006144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44160004296 and 44160004305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1123207 + ... + 1161857.

It is an arithmetic number, because the mean of its divisors is an integer number (1217538000).

Almost surely, 244160004332 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 44160004332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58441824000).

44160004332 is an abundant number, since it is smaller than the sum of its proper divisors (72723643668).

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

44160004332 is a wasteful number, since it uses less digits than its factorization.

44160004332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38884 (or 38876 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 44160004332 in words is "forty-four billion, one hundred sixty million, four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 149 213 284 298 426 447 596 639 852 894 1278 1341 1788 1917 2556 2682 3834 4023 5364 7668 8046 10579 16092 21158 31737 38651 42316 63474 77302 95211 115953 126948 154604 190422 231906 285633 347859 380844 463812 571266 695718 1043577 1142532 1391436 2087154 2744221 4174308 5488442 5758999 8232663 10976884 11517998 16465326 17276997 23035996 24697989 32930652 34553994 49395978 51830991 69107988 74093967 98791956 103661982 148187934 155492973 207323964 296375868 310985946 408888929 621971892 817777858 1226666787 1635555716 2453333574 3680000361 4906667148 7360000722 11040001083 14720001444 22080002166 44160004332