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40444000425 = 32523122732551
BaseRepresentation
bin100101101010101001…
…100111100010101001
310212101121112002120200
4211222221213202221
51130312131003200
630325115142413
72631145221453
oct455251474251
9125347462520
1040444000425
1116174647144
127a08744a09
133a7705b4ca
141d595472d3
1510ba98c800
hex96aa678a9

40444000425 has 72 divisors (see below), whose sum is σ = 74838686208. Its totient is φ = 20856960000.

The previous prime is 40444000403. The next prime is 40444000427. The reversal of 40444000425 is 52400044404.

It is a happy number.

40444000425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40444000425 - 25 = 40444000393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40444000427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15852900 + ... + 15855450.

Almost surely, 240444000425 is an apocalyptic number.

40444000425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40444000425 is a deficient number, since it is larger than the sum of its proper divisors (34394685783).

40444000425 is a wasteful number, since it uses less digits than its factorization.

40444000425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 40444000425 its reverse (52400044404), we get a palindrome (92844044829).

The spelling of 40444000425 in words is "forty billion, four hundred forty-four million, four hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 1395 2273 2325 2551 6819 6975 7653 11365 12755 20457 22959 34095 38265 56825 63775 70463 79081 102285 114795 170475 191325 211389 237243 352315 395405 511425 573975 634167 711729 1056945 1186215 1761575 1977025 3170835 3558645 5284725 5798423 5931075 15854175 17395269 17793225 28992115 52185807 86976345 144960575 179751113 260929035 434881725 539253339 898755565 1304645175 1617760017 2696266695 4493777825 8088800085 13481333475 40444000425