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4243432343424 = 273311911866341
BaseRepresentation
bin111101110000000000010…
…001110000011110000000
3120000200001002121000221120
4331300000101300132000
51024011022134442144
613005223401552240
7615402131534061
oct75600021603600
916020032530846
104243432343424
1113966a1a2826a
125864a4aa5680
1324a2003087b1
141095517b8568
15755ac40be19
hex3dc00470780

4243432343424 has 128 divisors (see below), whose sum is σ = 11696141352960. Its totient is φ = 1361681664000.

The previous prime is 4243432343401. The next prime is 4243432343431.

4243432343424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

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, 1340494 + ... + 3206834.

It is an arithmetic number, because the mean of its divisors is an integer number (91376104320).

Almost surely, 24243432343424 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 4243432343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848070676480).

4243432343424 is an abundant number, since it is smaller than the sum of its proper divisors (7452709009536).

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

4243432343424 is a wasteful number, since it uses less digits than its factorization.

4243432343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866580 (or 1866568 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 42.

The spelling of 4243432343424 in words is "four trillion, two hundred forty-three billion, four hundred thirty-two million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 191 192 248 372 382 384 496 573 744 764 992 1146 1488 1528 1984 2292 2976 3056 3968 4584 5921 5952 6112 9168 11842 11904 12224 17763 18336 23684 24448 35526 36672 47368 71052 73344 94736 142104 189472 284208 378944 568416 757888 1136832 1866341 2273664 3732682 5599023 7465364 11198046 14930728 22396092 29861456 44792184 57856571 59722912 89584368 115713142 119445824 173569713 179168736 231426284 238891648 347139426 356471131 358337472 462852568 694278852 712942262 716674944 925705136 1069413393 1388557704 1425884524 1851410272 2138826786 2777115408 2851769048 3702820544 4277653572 5554230816 5703538096 7405641088 8555307144 11050605061 11108461632 11407076192 17110614288 22101210122 22216923264 22814152384 33151815183 34221228576 44202420244 45628304768 66303630366 68442457152 88404840488 132607260732 136884914304 176809680976 265214521464 353619361952 530429042928 707238723904 1060858085856 1414477447808 2121716171712 4243432343424