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2044301022032 = 241710995372353
BaseRepresentation
bin11101101111111001110…
…101100001001101010000
321020102200212000221111212
4131233321311201031100
5231443212030201112
64203050001355252
7300460453656503
oct35577165411520
97212625027455
102044301022032
11718a8a6a5395
12290248338b28
1311aa13703389
1470d3236d13a
153829c39b522
hex1dbf9d61350

2044301022032 has 80 divisors (see below), whose sum is σ = 4236798448080. Its totient is φ = 952184733696.

The previous prime is 2044301021969. The next prime is 2044301022037. The reversal of 2044301022032 is 2302201034402.

It can be written as a sum of positive squares in 8 ways, for example, as 494315861776 + 1549985160256 = 703076^2 + 1244984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2044301021989 and 2044301022007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044301022037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28218368 + ... + 28290720.

It is an arithmetic number, because the mean of its divisors is an integer number (52959980601).

Almost surely, 22044301022032 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 2044301022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118399224040).

2044301022032 is an abundant number, since it is smaller than the sum of its proper divisors (2192497426048).

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

2044301022032 is a wasteful number, since it uses less digits than its factorization.

2044301022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73440 (or 73434 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2044301022032 its reverse (2302201034402), we get a palindrome (4346502056434).

The spelling of 2044301022032 in words is "two trillion, forty-four billion, three hundred one million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 953 1744 1853 1906 3706 3812 7412 7624 14824 15248 16201 29648 32402 64804 72353 103877 129608 144706 207754 259216 289412 415508 578824 831016 1157648 1230001 1662032 1765909 2460002 3531818 4920004 7063636 7886477 9840008 14127272 15772954 19680016 28254544 31545908 63091816 68952409 126183632 134070109 137904818 268140218 275809636 536280436 551619272 1072560872 1103238544 1172190953 2145121744 2344381906 4688763812 7515812581 9377527624 15031625162 18755055248 30063250324 60126500648 120253001296 127768813877 255537627754 511075255508 1022150511016 2044301022032