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440122494 = 237531631213
BaseRepresentation
bin11010001110111…
…011110001111110
31010200011112120010
4122032323301332
51400132404434
6111401204050
713622656650
oct3216736176
91120145503
10440122494
1120648a5a9
12103490626
137024bb16
144264a6d0
152898b9e9
hex1a3bbc7e

440122494 has 64 divisors (see below), whose sum is σ = 1032113664. Its totient is φ = 122518656.

The previous prime is 440122493. The next prime is 440122499. The reversal of 440122494 is 494221044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440122493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362232 + ... + 363444.

It is an arithmetic number, because the mean of its divisors is an integer number (16126776).

Almost surely, 2440122494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440122494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516056832).

440122494 is an abundant number, since it is smaller than the sum of its proper divisors (591991170).

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

440122494 is a wasteful number, since it uses less digits than its factorization.

440122494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 440122494 is about 20979.0965963742. The cubic root of 440122494 is about 760.6610672487.

The spelling of 440122494 in words is "four hundred forty million, one hundred twenty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 163 318 326 371 489 742 978 1113 1141 1213 2226 2282 2426 3423 3639 6846 7278 8491 8639 16982 17278 25473 25917 50946 51834 60473 64289 120946 128578 181419 192867 197719 362838 385734 395438 450023 593157 900046 1186314 1350069 1384033 2700138 2768066 4152099 8304198 10479107 20958214 31437321 62874642 73353749 146707498 220061247 440122494