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4441142221300 = 2252315212749763
BaseRepresentation
bin100000010100000100010…
…1101000101100111110100
3120201120100211121110111001
41000220020231011213310
51040230424402040200
613240122122453044
7635601434010151
oct100501055054764
916646324543431
104441142221300
111462529004854
125b8881664184
13262a4b030905
14114d4967d228
157a7ce7b176a
hex40a08b459f4

4441142221300 has 72 divisors (see below), whose sum is σ = 9967256554752. Its totient is φ = 1715851488000.

The previous prime is 4441142221279. The next prime is 4441142221319. The reversal of 4441142221300 is 31222411444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240219 + ... + 2989981.

It is an arithmetic number, because the mean of its divisors is an integer number (138434118816).

Almost surely, 24441142221300 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 4441142221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983628277376).

4441142221300 is an abundant number, since it is smaller than the sum of its proper divisors (5526114333452).

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

4441142221300 is a wasteful number, since it uses less digits than its factorization.

4441142221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750329 (or 2750322 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4441142221300 its reverse (31222411444), we get a palindrome (4472364632744).

The spelling of 4441142221300 in words is "four trillion, four hundred forty-one billion, one hundred forty-two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 521 620 775 1042 1550 2084 2605 3100 5210 10420 13025 16151 26050 32302 52100 64604 80755 161510 323020 403775 807550 1615100 2749763 5499526 10999052 13748815 27497630 54995260 68744075 85242653 137488150 170485306 274976300 340970612 426213265 852426530 1432626523 1704853060 2131066325 2865253046 4262132650 5730506092 7163132615 8524265300 14326265230 28652530460 35815663075 44411422213 71631326150 88822844426 143262652300 177645688852 222057111065 444114222130 888228444260 1110285555325 2220571110650 4441142221300