Search a number
-
+
14345535132 = 223589165829
BaseRepresentation
bin11010101110000111…
…10111111010011100
31101000202122200200000
431113003313322130
5213334424111012
610331254334300
71015332015405
oct152703677234
941022580600
1014345535132
1160a1753965
12294435a390
131478090a36
149a13409ac
1558e638ddc
hex3570f7e9c

14345535132 has 72 divisors (see below), whose sum is σ = 38028135600. Its totient is φ = 4728087936.

The previous prime is 14345535131. The next prime is 14345535133. The reversal of 14345535132 is 23153554341.

14345535132 is a `hidden beast` number, since 1 + 43 + 455 + 35 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (14345535131) and next prime (14345535133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14345535131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3594 + ... + 169422.

It is an arithmetic number, because the mean of its divisors is an integer number (528168550).

Almost surely, 214345535132 is an apocalyptic number.

14345535132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14345535132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19014067800).

14345535132 is an abundant number, since it is smaller than the sum of its proper divisors (23682600468).

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

14345535132 is a wasteful number, since it uses less digits than its factorization.

14345535132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165937 (or 165923 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 14345535132 in words is "fourteen billion, three hundred forty-five million, five hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 267 324 356 486 534 801 972 1068 1602 2403 3204 4806 7209 9612 14418 21627 28836 43254 86508 165829 331658 497487 663316 994974 1492461 1989948 2984922 4477383 5969844 8954766 13432149 14758781 17909532 26864298 29517562 40296447 44276343 53728596 59035124 80592894 88552686 132829029 161185788 177105372 265658058 398487087 531316116 796974174 1195461261 1593948348 2390922522 3586383783 4781845044 7172767566 14345535132