Search a number
-
+
16434135410 = 25711139233659
BaseRepresentation
bin11110100111000110…
…10000000101110010
31120102022201120121212
433103203100011302
5232124114313120
611314424320122
71121152563140
oct172343200562
946368646555
1016434135410
116a737061a0
123227913042
13171b9b9ba4
14b1c8a0590
15662b9d6c5
hex3d38d0172

16434135410 has 128 divisors (see below), whose sum is σ = 37362124800. Its totient is φ = 5055966720.

The previous prime is 16434135359. The next prime is 16434135437. The reversal of 16434135410 is 1453143461.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24937661 + ... + 24938319.

It is an arithmetic number, because the mean of its divisors is an integer number (291891600).

Almost surely, 216434135410 is an apocalyptic number.

16434135410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16434135410 is an abundant number, since it is smaller than the sum of its proper divisors (20927989390).

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

16434135410 is a wasteful number, since it uses less digits than its factorization.

16434135410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 16434135410 its reverse (1453143461), we get a palindrome (17887278871).

The spelling of 16434135410 in words is "sixteen billion, four hundred thirty-four million, one hundred thirty-five thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 139 154 233 278 385 466 659 695 770 973 1165 1318 1390 1529 1631 1946 2330 2563 3058 3262 3295 4613 4865 5126 6590 7249 7645 8155 9226 9730 10703 12815 14498 15290 16310 17941 21406 23065 25630 32387 35882 36245 46130 50743 53515 64774 72490 89705 91601 101486 107030 153547 161935 179410 183202 226709 253715 307094 323870 356257 453418 458005 507430 641207 712514 767735 916010 1007611 1074829 1133545 1282414 1535470 1689017 1781285 2015222 2149658 2267090 2493799 3206035 3378034 3562570 4987598 5038055 5374145 6412070 7053277 8445085 10076110 10748290 11823119 12468995 14106554 16890170 21343033 23646238 24937990 35266385 42686066 59115595 70532770 106715165 118231190 149401231 213430330 234773363 298802462 469546726 747006155 1173866815 1494012310 1643413541 2347733630 3286827082 8217067705 16434135410