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440400104442 = 232293141432359
BaseRepresentation
bin1100110100010011110…
…01000100101111111010
31120002202020111022121100
412122021321010233322
524203414411320232
6534152250352230
743550345060034
oct6321171045772
91502666438540
10440400104442
1115a855417871
127142912b676
13326b656a89c
141745b960c54
15b6c85b4c7c
hex6689e44bfa

440400104442 has 288 divisors, whose sum is σ = 1071613670400. Its totient is φ = 130344076800.

The previous prime is 440400104393. The next prime is 440400104447. The reversal of 440400104442 is 244401004044.

It is not an unprimeable number, because it can be changed into a prime (440400104447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1226741059 + ... + 1226741417.

It is an arithmetic number, because the mean of its divisors is an integer number (3720880800).

Almost surely, 2440400104442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440400104442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535806835200).

440400104442 is an abundant number, since it is smaller than the sum of its proper divisors (631213565958).

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

440400104442 is a wasteful number, since it uses less digits than its factorization.

440400104442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 440400104442 its reverse (244401004044), we get a palindrome (684801108486).

The spelling of 440400104442 in words is "four hundred forty billion, four hundred million, one hundred four thousand, four hundred forty-two".