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43400422431344 = 241129107301126393
BaseRepresentation
bin10011101111000111100101…
…10000110001101001110000
312200200001002001122101121202
421313203302300301221300
521142033031120300334
6232145513454110332
712066401632600106
oct1167436260615160
9180601061571552
1043400422431344
111291301a01a060
124a4b3617ab3a8
131b2a8470cc274
14aa083d6d7c76
15503e27e9e17e
hex2778f2c31a70

43400422431344 has 160 divisors (see below), whose sum is σ = 95818226883840. Its totient is φ = 18862214604800.

The previous prime is 43400422431323. The next prime is 43400422431361. The reversal of 43400422431344 is 44313422400434.

43400422431344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 43400422431298 and 43400422431307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644378212 + ... + 1644404604.

It is an arithmetic number, because the mean of its divisors is an integer number (598863918024).

Almost surely, 243400422431344 is an apocalyptic number.

43400422431344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43400422431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47909113441920).

43400422431344 is an abundant number, since it is smaller than the sum of its proper divisors (52417804452496).

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

43400422431344 is a wasteful number, since it uses less digits than its factorization.

43400422431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29559 (or 29553 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 43400422431344 its reverse (44313422400434), we get a palindrome (87713844831778).

The spelling of 43400422431344 in words is "forty-three trillion, four hundred billion, four hundred twenty-two million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 107 116 176 214 232 319 428 464 638 856 1177 1276 1712 2354 2552 3011 3103 4708 5104 6022 6206 9416 12044 12412 18832 24088 24824 26393 33121 34133 48176 49648 52786 66242 68266 87319 105572 132484 136532 174638 211144 264968 273064 290323 322177 349276 422288 529936 546128 580646 644354 698552 765397 960509 1161292 1288708 1397104 1530794 1921018 2322584 2577416 2824051 3061588 3543947 3842036 4645168 5154832 5648102 6123176 7087894 7684072 8419367 9343133 11296204 12246352 14175788 15368144 16838734 18686266 22592408 28351576 31064561 33677468 37372532 45184816 56703152 62129122 67354936 74745064 79469323 81897479 102774463 124258244 134709872 149490128 158938646 163794958 205548926 248516488 317877292 327589916 411097852 497032976 635754584 655179832 822195704 874162553 900872269 1271509168 1310359664 1644391408 1748325106 1801744538 2304610367 3496650212 3603489076 4609220734 6993300424 7206978152 8503217561 9218441468 13986600848 14413956304 17006435122 18436882936 25350714037 34012870244 36873765872 50701428074 68025740488 93535393171 101402856148 136051480976 187070786342 202805712296 246593309269 374141572684 405611424592 493186618538 748283145368 986373237076 1496566290736 1972746474152 2712526401959 3945492948304 5425052803918 10850105607836 21700211215672 43400422431344