Search a number
-
+
14961334932 = 2233592347981
BaseRepresentation
bin11011110111100001…
…11101101010010100
31102121200101120012000
431323300331222110
5221120100204212
610512333155300
71036520151165
oct157360755224
942550346160
1014961334932
116388313415
122a9662bb30
13154582c00b
14a1d03b76c
155c87281dc
hex37bc3da94

14961334932 has 48 divisors (see below), whose sum is σ = 39446097600. Its totient is φ = 4902582240.

The previous prime is 14961334859. The next prime is 14961334963. The reversal of 14961334932 is 23943316941.

It is a happy number.

14961334932 is a `hidden beast` number, since 149 + 6 + 13 + 3 + 493 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167619 + ... + 1180362.

It is an arithmetic number, because the mean of its divisors is an integer number (821793700).

Almost surely, 214961334932 is an apocalyptic number.

14961334932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14961334932 is an abundant number, since it is smaller than the sum of its proper divisors (24484762668).

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

14961334932 is a wasteful number, since it uses less digits than its factorization.

14961334932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348053 (or 2348045 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 14961334932 in words is "fourteen billion, nine hundred sixty-one million, three hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 2347981 4695962 7043943 9391924 14087886 21131829 28175772 42263658 63395487 84527316 126790974 138530879 253581948 277061758 415592637 554123516 831185274 1246777911 1662370548 2493555822 3740333733 4987111644 7480667466 14961334932