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434423122112 = 2671957189381
BaseRepresentation
bin1100101001001011010…
…00101100100011000000
31112112022200202011020102
412110211220230203000
524104144304401422
6531323215101532
743246260416420
oct6244550544300
91475280664212
10434423122112
11158268588551
127023b5118a8
1331c731a0955
1417051c24480
15b4789c7192
hex6525a2c8c0

434423122112 has 112 divisors (see below), whose sum is σ = 1038890561280. Its totient is φ = 176071449600.

The previous prime is 434423122103. The next prime is 434423122139. The reversal of 434423122112 is 211221324434.

It is a tau number, because it is divible by the number of its divisors (112).

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, 4815662 + ... + 4905042.

Almost surely, 2434423122112 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 434423122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519445280640).

434423122112 is an abundant number, since it is smaller than the sum of its proper divisors (604467439168).

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

434423122112 is a wasteful number, since it uses less digits than its factorization.

434423122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89990 (or 89980 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 434423122112 its reverse (211221324434), we get a palindrome (645644446546).

The spelling of 434423122112 in words is "four hundred thirty-four billion, four hundred twenty-three million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 571 608 1064 1142 1216 2128 2284 3997 4256 4568 7994 8512 9136 10849 15988 18272 21698 31976 36544 43396 63952 75943 86792 89381 127904 151886 173584 178762 255808 303772 347168 357524 607544 625667 694336 715048 1215088 1251334 1430096 1698239 2430176 2502668 2860192 3396478 4860352 5005336 5720384 6792956 10010672 11887673 13585912 20021344 23775346 27171824 40042688 47550692 51036551 54343648 95101384 102073102 108687296 190202768 204146204 357255857 380405536 408292408 714511714 760811072 816584816 969694469 1429023428 1633169632 1939388938 2858046856 3266339264 3878777876 5716093712 6787861283 7757555752 11432187424 13575722566 15515111504 22864374848 27151445132 31030223008 54302890264 62060446016 108605780528 217211561056 434423122112