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444354140500 = 225312748714369
BaseRepresentation
bin1100111011101011001…
…00100001100101010100
31120110221210201011101021
412131311210201211110
524240014124444000
6540044455210524
744050336605664
oct6356544414524
91513853634337
10444354140500
111614a4367666
1272151376a44
1332b967b7caa
1417714b4c1a4
15b85a7ab11a
hex6775921954

444354140500 has 96 divisors (see below), whose sum is σ = 980187586560. Its totient is φ = 175967769600.

The previous prime is 444354140459. The next prime is 444354140563. The reversal of 444354140500 is 5041453444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30917316 + ... + 30931684.

It is an arithmetic number, because the mean of its divisors is an integer number (10210287360).

Almost surely, 2444354140500 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 444354140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490093793280).

444354140500 is an abundant number, since it is smaller than the sum of its proper divisors (535833446060).

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

444354140500 is a wasteful number, since it uses less digits than its factorization.

444354140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15002 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 444354140500 its reverse (5041453444), we get a palindrome (449395593944).

The spelling of 444354140500 in words is "four hundred forty-four billion, three hundred fifty-four million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 127 250 254 487 500 508 635 974 1270 1948 2435 2540 3175 4870 6350 9740 12175 12700 14369 15875 24350 28738 31750 48700 57476 60875 61849 63500 71845 121750 123698 143690 243500 247396 287380 309245 359225 618490 718450 1236980 1436900 1546225 1796125 1824863 3092450 3592250 3649726 6184900 6997703 7184500 7299452 7731125 9124315 13995406 15462250 18248630 27990812 30924500 34988515 36497260 45621575 69977030 91243150 139954060 174942575 182486300 228107875 349885150 456215750 699770300 874712875 888708281 912431500 1749425750 1777416562 3498851500 3554833124 4443541405 8887082810 17774165620 22217707025 44435414050 88870828100 111088535125 222177070250 444354140500