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43434643434 = 23713233793479
BaseRepresentation
bin101000011100111010…
…000000111111101010
311011010000221111112120
4220130322000333222
51202423232042214
631541551052110
73065231243340
oct503472007752
9134100844476
1043434643434
11174697a6536
128502211036
134132817a60
1421607d5990
1511e32d3ea9
hexa1ce80fea

43434643434 has 128 divisors (see below), whose sum is σ = 114581053440. Its totient is φ = 10660978944.

The previous prime is 43434643393. The next prime is 43434643489.

43434643434 is nontrivially palindromic in base 10.

43434643434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417907 + ... + 511385.

It is an arithmetic number, because the mean of its divisors is an integer number (895164480).

Almost surely, 243434643434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43434643434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57290526720).

43434643434 is an abundant number, since it is smaller than the sum of its proper divisors (71146410006).

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

43434643434 is a wasteful number, since it uses less digits than its factorization.

43434643434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93564.

The product of its digits is 1990656, while the sum is 42.

The spelling of 43434643434 in words is "forty-three billion, four hundred thirty-four million, six hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 777 851 897 962 966 1443 1554 1702 1794 2093 2553 2886 3367 4186 5106 5957 6279 6734 10101 11063 11914 12558 17871 20202 22126 33189 35742 66378 77441 93479 154882 186958 232323 280437 464646 560874 654353 1215227 1308706 1963059 2150017 2430454 3458723 3645681 3926118 4300034 6450051 6917446 7291362 8506589 10376169 12900102 15050119 17013178 20752338 24211061 25519767 27950221 30100238 44963399 45150357 48422122 51039534 55900442 72633183 79550629 83850663 89926798 90300714 134890197 145266366 159101258 167701326 195651547 238651887 269780394 314743793 391303094 477303774 556854403 586954641 629487586 944231379 1034158177 1113708806 1173909282 1670563209 1888462758 2068316354 3102474531 3341126418 6204949062 7239107239 14478214478 21717321717 43434643434