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43123420314 = 232132324133247
BaseRepresentation
bin101000001010010110…
…110010110010011010
311010022100022201200100
4220022112302302122
51201304043422224
631451032320230
73054432011322
oct501226626232
9133270281610
1043123420314
111731a056a47
128435b43076
1340b31ba770
142131340282
1511c5d09ac9
hexa0a5b2c9a

43123420314 has 96 divisors (see below), whose sum is σ = 105434993664. Its totient is φ = 12638799360.

The previous prime is 43123420309. The next prime is 43123420391. The reversal of 43123420314 is 41302432134.

43123420314 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 342 + 0 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280439 + ... + 1313685.

It is an arithmetic number, because the mean of its divisors is an integer number (1098281184).

Almost surely, 243123420314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43123420314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52717496832).

43123420314 is an abundant number, since it is smaller than the sum of its proper divisors (62311573350).

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

43123420314 is a wasteful number, since it uses less digits than its factorization.

43123420314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33532 (or 33529 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 43123420314 its reverse (41302432134), we get a palindrome (84425852448).

The spelling of 43123420314 in words is "forty-three billion, one hundred twenty-three million, four hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 241 299 414 482 598 723 897 1446 1794 2169 2691 3133 4338 5382 5543 6266 9399 11086 16629 18798 28197 33247 33258 49887 56394 66494 72059 99741 99774 144118 199482 216177 299223 432211 432354 598446 648531 764681 864422 1296633 1297062 1529362 2294043 2593266 3889899 4588086 6882129 7779798 8012527 9940853 13764258 16025054 19881706 24037581 29822559 48075162 59645118 72112743 89467677 104162851 144225486 178935354 184288121 208325702 312488553 368576242 552864363 624977106 937465659 1105728726 1658593089 1874931318 2395745573 3317186178 4791491146 7187236719 14374473438 21561710157 43123420314