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40444000032 = 2532352335023
BaseRepresentation
bin100101101010101001…
…100111011100100000
310212101121112002001010
4211222221213130200
51130312131000112
630325115140520
72631145220352
oct455251473440
9125347462033
1040444000032
1116174646917
127a08744740
133a7705b287
141d595470d2
1510ba98c63c
hex96aa67720

40444000032 has 96 divisors (see below), whose sum is σ = 110996379648. Its totient is φ = 12870164736.

The previous prime is 40444000007. The next prime is 40444000049. The reversal of 40444000032 is 23000044404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40443999972 and 40444000008.

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 15 ways as a sum of consecutive naturals, for example, 1137273 + ... + 1172295.

It is an arithmetic number, because the mean of its divisors is an integer number (1156212288).

Almost surely, 240444000032 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 40444000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55498189824).

40444000032 is an abundant number, since it is smaller than the sum of its proper divisors (70552379616).

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

40444000032 is a wasteful number, since it uses less digits than its factorization.

40444000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35582 (or 35574 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40444000032 its reverse (23000044404), we get a palindrome (63444044436).

The spelling of 40444000032 in words is "forty billion, four hundred forty-four million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 523 552 736 1046 1104 1569 2092 2208 3138 4184 6276 8368 12029 12552 16736 24058 25104 35023 36087 48116 50208 70046 72174 96232 105069 140092 144348 192464 210138 280184 288696 384928 420276 560368 577392 805529 840552 1120736 1154784 1611058 1681104 2416587 3222116 3362208 4833174 6444232 9666348 12888464 18317029 19332696 25776928 36634058 38665392 54951087 73268116 77330784 109902174 146536232 219804348 293072464 421291667 439608696 586144928 842583334 879217392 1263875001 1685166668 1758434784 2527750002 3370333336 5055500004 6740666672 10111000008 13481333344 20222000016 40444000032