Search a number
-
+
10234345424424 = 23311229312028067
BaseRepresentation
bin1001010011101101111010…
…0001100000011000101000
31100020101122010111021101020
42110323132201200120220
52320134414412040144
633433332100452440
72104256422523112
oct224733641403050
940211563437336
1010234345424424
1132963a8201a00
1211935996aa120
1359312cba4834
142754b88083b2
1512b343749419
hex94ede860628

10234345424424 has 96 divisors (see below), whose sum is σ = 28219290896160. Its totient is φ = 3090731839360.

The previous prime is 10234345424423. The next prime is 10234345424431. The reversal of 10234345424424 is 42442454343201.

It is not an unprimeable number, because it can be changed into a prime (10234345424423) 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 23 ways as a sum of consecutive naturals, for example, 5163162 + ... + 6864905.

It is an arithmetic number, because the mean of its divisors is an integer number (293950946835).

Almost surely, 210234345424424 is an apocalyptic number.

It is an amenable number.

10234345424424 is an abundant number, since it is smaller than the sum of its proper divisors (17984945471736).

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

10234345424424 is a wasteful number, since it uses less digits than its factorization.

10234345424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028391 (or 12028376 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 10234345424424 its reverse (42442454343201), we get a palindrome (52676799767625).

The spelling of 10234345424424 in words is "ten trillion, two hundred thirty-four billion, three hundred forty-five million, four hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 293 363 484 586 726 879 968 1172 1452 1758 2344 2904 3223 3516 6446 7032 9669 12892 19338 25784 35453 38676 70906 77352 106359 141812 212718 283624 425436 850872 12028067 24056134 36084201 48112268 72168402 96224536 132308737 144336804 264617474 288673608 396926211 529234948 793852422 1058469896 1455396107 1587704844 2910792214 3175409688 3524223631 4366188321 5821584428 7048447262 8732376642 10572670893 11643168856 14096894524 17464753284 21145341786 28193789048 34929506568 38766459941 42290683572 77532919882 84581367144 116299379823 155065839764 232598759646 310131679528 426431059351 465197519292 852862118702 930395038584 1279293178053 1705724237404 2558586356106 3411448474808 5117172712212 10234345424424