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41444002440 = 23325115122229
BaseRepresentation
bin100110100110010000…
…010100101010001000
310221222022012110110100
4212212100110222020
51134334131034230
631012240445400
72665010131311
oct464620245210
9127868173410
1041444002440
1116638071495
128047619860
133ba6299589
142012295608
15112866e660
hex9a6414a88

41444002440 has 48 divisors (see below), whose sum is σ = 134693009100. Its totient is φ = 11051733888.

The previous prime is 41444002433. The next prime is 41444002441. The reversal of 41444002440 is 4420044414.

41444002440 is a `hidden beast` number, since 4 + 14 + 4 + 400 + 244 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37110940164 + 4333062276 = 192642^2 + 65826^2 .

It is not an unprimeable number, because it can be changed into a prime (41444002441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57560755 + ... + 57561474.

Almost surely, 241444002440 is an apocalyptic number.

41444002440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41444002440 is an abundant number, since it is smaller than the sum of its proper divisors (93249006660).

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

41444002440 is a wasteful number, since it uses less digits than its factorization.

41444002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115122246 (or 115122239 counting only the distinct ones).

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

Adding to 41444002440 its reverse (4420044414), we get a palindrome (45864046854).

The spelling of 41444002440 in words is "forty-one billion, four hundred forty-four million, two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 115122229 230244458 345366687 460488916 575611145 690733374 920977832 1036100061 1151222290 1381466748 1726833435 2072200122 2302444580 2762933496 3453666870 4144400244 4604889160 5180500305 6907333740 8288800488 10361000610 13814667480 20722001220 41444002440