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440142342112 = 251137239914087
BaseRepresentation
bin1100110011110101000…
…01110010011111100000
31120002002021110122011101
412121322201302133200
524202402414421422
6534110521524144
743541065115254
oct6317241623740
91502067418141
10440142342112
1115a732972150
1271376943654
133267503acb5
1417435624264
15b6b0b4ac27
hex667a8727e0

440142342112 has 96 divisors (see below), whose sum is σ = 971328153600. Its totient is φ = 194562593280.

The previous prime is 440142342097. The next prime is 440142342121. The reversal of 440142342112 is 211243241044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31237533 + ... + 31251619.

It is an arithmetic number, because the mean of its divisors is an integer number (10118001600).

Almost surely, 2440142342112 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 440142342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485664076800).

440142342112 is an abundant number, since it is smaller than the sum of its proper divisors (531185811488).

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

440142342112 is a wasteful number, since it uses less digits than its factorization.

440142342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16544 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 440142342112 its reverse (211243241044), we get a palindrome (651385583156).

The spelling of 440142342112 in words is "four hundred forty billion, one hundred forty-two million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 2399 3256 4798 6512 9596 13024 14087 19192 26389 28174 38384 52778 56348 76768 88763 105556 112696 154957 177526 211112 225392 309914 355052 422224 450784 521219 619828 710104 844448 976393 1042438 1239656 1420208 1952786 2084876 2479312 2840416 3905572 4169752 4958624 5733409 7811144 8339504 11466818 15622288 16679008 22933636 31244576 33794713 45867272 67589426 91734544 135178852 183469088 270357704 371741843 540715408 743483686 1081430816 1250404381 1486967372 2500808762 2973934744 5001617524 5947869488 10003235048 11895738976 13754448191 20006470096 27508896382 40012940192 55017792764 110035585528 220071171056 440142342112