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444011012432 = 241319751108079
BaseRepresentation
bin1100111011000010001…
…11100110000101010000
31120110001220001110011022
412131201013212011100
524233313304344212
6535550440535012
744036002222421
oct6354107460520
91513056043138
10444011012432
11161338706449
1272076481468
1332b40699930
14176c134d648
15b83a5cd772
hex67611e6150

444011012432 has 40 divisors (see below), whose sum is σ = 926501533440. Its totient is φ = 204915888000.

The previous prime is 444011012411. The next prime is 444011012441. The reversal of 444011012432 is 234210110444.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 4054169 + ... + 4162247.

It is an arithmetic number, because the mean of its divisors is an integer number (23162538336).

Almost surely, 2444011012432 is an apocalyptic number.

It is an amenable number.

444011012432 is an abundant number, since it is smaller than the sum of its proper divisors (482490521008).

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

444011012432 is a wasteful number, since it uses less digits than its factorization.

444011012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127851 (or 127845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 444011012432 its reverse (234210110444), we get a palindrome (678221122876).

The spelling of 444011012432 in words is "four hundred forty-four billion, eleven million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 19751 39502 79004 108079 158008 216158 256763 316016 432316 513526 864632 1027052 1405027 1729264 2054104 2810054 4108208 5620108 11240216 22480432 2134668329 4269336658 8538673316 17077346632 27750688277 34154693264 55501376554 111002753108 222005506216 444011012432