Search a number
-
+
14240306630 = 25113167157397
BaseRepresentation
bin11010100001100100…
…11101010111000110
31100202102122112022002
431100302131113012
5213131004303010
610313015105302
71012613415644
oct152062352706
940672575262
1014240306630
116048311160
122915072232
13145c339454
1499138c194
155852a01a5
hex350c9d5c6

14240306630 has 128 divisors (see below), whose sum is σ = 29556486144. Its totient is φ = 4892659200.

The previous prime is 14240306623. The next prime is 14240306659. The reversal of 14240306630 is 3660304241.

14240306630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14240306593 and 14240306602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35869592 + ... + 35869988.

It is an arithmetic number, because the mean of its divisors is an integer number (230910048).

Almost surely, 214240306630 is an apocalyptic number.

14240306630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14240306630 is an abundant number, since it is smaller than the sum of its proper divisors (15316179514).

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

14240306630 is a wasteful number, since it uses less digits than its factorization.

14240306630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 10368, while the sum is 29.

The spelling of 14240306630 in words is "fourteen billion, two hundred forty million, three hundred six thousand, six hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 67 110 134 155 157 310 314 335 341 397 670 682 737 785 794 1474 1570 1705 1727 1985 2077 3410 3454 3685 3970 4154 4367 4867 7370 8635 8734 9734 10385 10519 12307 17270 20770 21038 21835 22847 24335 24614 26599 43670 45694 48670 52595 53198 53537 61535 62329 105190 107074 114235 115709 123070 124658 132995 135377 228470 231418 265990 267685 270754 292589 311645 326089 535370 578545 585178 623290 652178 676885 685619 824569 1157090 1353770 1371238 1462945 1630445 1649138 1932199 2925890 3260890 3428095 3586979 3864398 4122845 4176043 6856190 7173958 8245690 8352086 9070259 9660995 17934895 18140518 19321990 20880215 21254189 35869790 41760430 42508378 45351295 45936473 90702590 91872946 106270945 129457333 212541890 229682365 258914666 459364730 647286665 1294573330 1424030663 2848061326 7120153315 14240306630