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243309910428 = 223313231430019
BaseRepresentation
bin1110001010011001100…
…1101001100110011100
3212021000200112002112000
43202212121221212130
512441244314113203
6303435223442300
723402306054304
oct3424631514634
9767020462460
10243309910428
1194207112a02
123b1a3bb6390
1319c37043900
14bac20c8604
1564e081a4a3
hex38a666999c

243309910428 has 144 divisors (see below), whose sum is σ = 705095193600. Its totient is φ = 72449432640.

The previous prime is 243309910427. The next prime is 243309910451. The reversal of 243309910428 is 824019903342.

243309910428 is a `hidden beast` number, since 2 + 433 + 0 + 99 + 104 + 28 = 666.

243309910428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243309910427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350803 + ... + 780821.

It is an arithmetic number, because the mean of its divisors is an integer number (4896494400).

Almost surely, 2243309910428 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 243309910428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352547596800).

243309910428 is an abundant number, since it is smaller than the sum of its proper divisors (461785283172).

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

243309910428 is a wasteful number, since it uses less digits than its factorization.

243309910428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430089 (or 430068 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 243309910428 in words is "two hundred forty-three billion, three hundred nine million, nine hundred ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 169 186 234 279 338 351 372 403 468 507 558 676 702 806 837 1014 1116 1209 1404 1521 1612 1674 2028 2418 3042 3348 3627 4563 4836 5239 6084 7254 9126 10478 10881 14508 15717 18252 20956 21762 31434 43524 47151 62868 94302 141453 188604 282906 430019 565812 860038 1290057 1720076 2580114 3870171 5160228 5590247 7740342 11180494 11610513 13330589 15480684 16770741 22360988 23221026 26661178 33541482 39991767 46442052 50312223 53322356 67082964 72673211 79983534 100624446 119975301 145346422 150936669 159967068 173297657 201248892 218019633 239950602 290692844 301873338 346595314 359925903 436039266 479901204 519892971 603746676 654058899 693190628 719851806 872078532 1039785942 1308117798 1439703612 1559678913 1962176697 2079571884 2252869541 2616235596 3119357826 3924353394 4505739082 4679036739 6238715652 6758608623 7848706788 9011478164 9358073478 13517217246 18716146956 20275825869 27034434492 40551651738 60827477607 81103303476 121654955214 243309910428