Search a number
-
+
10432414344 = 23311172324513
BaseRepresentation
bin10011011011101001…
…00000001010001000
3222221001102120002110
421231310200022020
5132331144224334
64443110502320
7516345026112
oct115564401210
928831376073
1010432414344
11447390a340
1220319649a0
13ca346a951
1470d7643b2
15410d25ae9
hex26dd20288

10432414344 has 64 divisors (see below), whose sum is σ = 30125701440. Its totient is φ = 2975375360.

The previous prime is 10432414309. The next prime is 10432414351. The reversal of 10432414344 is 44341423401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157769 + ... + 1166744.

It is an arithmetic number, because the mean of its divisors is an integer number (470714085).

Almost surely, 210432414344 is an apocalyptic number.

It is an amenable number.

10432414344 is an abundant number, since it is smaller than the sum of its proper divisors (19693287096).

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

10432414344 is a wasteful number, since it uses less digits than its factorization.

10432414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324550 (or 2324546 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10432414344 its reverse (44341423401), we get a palindrome (54773837745).

The spelling of 10432414344 in words is "ten billion, four hundred thirty-two million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 2324513 4649026 6973539 9298052 13947078 18596104 25569643 27894156 39516721 51139286 55788312 76708929 79033442 102278572 118550163 153417858 158066884 204557144 237100326 306835716 316133768 434683931 474200652 613671432 869367862 948401304 1304051793 1738735724 2608103586 3477471448 5216207172 10432414344