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440143056 = 243217199463
BaseRepresentation
bin11010001111000…
…000110011010000
31010200012120202200
4122033000303100
51400134034211
6111401443200
713623103623
oct3217006320
91120176680
10440143056
112064a3aa1
121034a0500
13702582a2
1442653dba
1528992b56
hex1a3c0cd0

440143056 has 120 divisors (see below), whose sum is σ = 1373037120. Its totient is φ = 130802688.

The previous prime is 440143043. The next prime is 440143057. The reversal of 440143056 is 650341044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440143057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41781 + ... + 51243.

It is an arithmetic number, because the mean of its divisors is an integer number (11441976).

Almost surely, 2440143056 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 440143056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686518560).

440143056 is an abundant number, since it is smaller than the sum of its proper divisors (932894064).

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

440143056 is a wasteful number, since it uses less digits than its factorization.

440143056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 440143056 is about 20979.5866498842. The cubic root of 440143056 is about 760.6729127913.

The spelling of 440143056 in words is "four hundred forty million, one hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 5168 5814 7752 9463 11628 15504 18926 23256 28389 37852 46512 56778 75704 85167 113556 151408 160871 170334 179797 227112 321742 340668 359594 454224 482613 539391 643484 681336 719188 965226 1078782 1286968 1362672 1438376 1447839 1618173 1930452 2157564 2573936 2876752 2895678 3056549 3236346 3860904 4315128 5791356 6113098 6472692 7721808 8630256 9169647 11582712 12226196 12945384 18339294 23165424 24452392 25890768 27508941 36678588 48904784 55017882 73357176 110035764 146714352 220071528 440143056