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444110141000 = 2353444110141
BaseRepresentation
bin1100111011001110000…
…01101111011001001000
31120110022210120200222202
412131213001233121020
524234014144003000
6540004341335332
744041314625121
oct6354701573110
91513283520882
10444110141000
11161389662189
12720a3707548
1332b580968a6
14176d0595048
15b84415edd5
hex676706f648

444110141000 has 32 divisors (see below), whose sum is σ = 1039217732280. Its totient is φ = 177644056000.

The previous prime is 444110140987. The next prime is 444110141003. The reversal of 444110141000 is 141011444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 254413307236 + 189696833764 = 504394^2 + 435542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (444110141003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222054071 + ... + 222056070.

Almost surely, 2444110141000 is an apocalyptic number.

444110141000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444110141000 is an abundant number, since it is smaller than the sum of its proper divisors (595107591280).

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

444110141000 is a wasteful number, since it uses less digits than its factorization.

444110141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444110162 (or 444110148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 444110141000 its reverse (141011444), we get a palindrome (444251152444).

The spelling of 444110141000 in words is "four hundred forty-four billion, one hundred ten million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 444110141 888220282 1776440564 2220550705 3552881128 4441101410 8882202820 11102753525 17764405640 22205507050 44411014100 55513767625 88822028200 111027535250 222055070500 444110141000