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440213020112 = 24177338956993
BaseRepresentation
bin1100110011111101011…
…11011001110111010000
31120002021012110110011002
412121332233121313100
524203024013120422
6534121524441132
743542613634465
oct6317657316720
91502235413132
10440213020112
1115a769856618
12713965491a8
13326868862b8
1417440b8166c
15b6b6e5c692
hex667ebd9dd0

440213020112 has 80 divisors (see below), whose sum is σ = 917824536720. Its totient is φ = 203792449536.

The previous prime is 440213020103. The next prime is 440213020157. The reversal of 440213020112 is 211020312044.

It can be written as a sum of positive squares in 8 ways, for example, as 20174225296 + 420038794816 = 142036^2 + 648104^2 .

It is a super-2 number, since 2×4402130201122 (a number of 24 digits) contains 22 as substring.

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, 7695488 + ... + 7752480.

It is an arithmetic number, because the mean of its divisors is an integer number (11472806709).

Almost surely, 2440213020112 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 440213020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458912268360).

440213020112 is an abundant number, since it is smaller than the sum of its proper divisors (477611516608).

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

440213020112 is a wasteful number, since it uses less digits than its factorization.

440213020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57480 (or 57474 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 440213020112 its reverse (211020312044), we get a palindrome (651233332156).

The spelling of 440213020112 in words is "four hundred forty billion, two hundred thirteen million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 389 584 778 1168 1241 1556 2482 3112 4964 6224 6613 9928 13226 19856 26452 28397 52904 56794 56993 105808 113588 113986 227176 227972 454352 455944 482749 911888 965498 968881 1930996 1937762 3861992 3875524 4160489 7723984 7751048 8320978 15502096 16641956 22170277 33283912 44340554 66567824 70728313 88681108 141456626 177362216 282913252 354724432 376894709 565826504 753789418 1131653008 1507578836 1618430221 3015157672 3236860442 6030315344 6473720884 12947441768 25894883536 27513313757 55026627514 110053255028 220106510056 440213020112