Search a number
-
+
134350789104 = 2433744428171
BaseRepresentation
bin111110100011111101…
…1100101100111110000
3110211210010201020021000
41331013323211213300
54200122300222404
6141415255402000
712464223602460
oct1750773454760
9424703636230
10134350789104
1151a83577404
1222055983300
13c89139765c
146707253ba0
153764ccb339
hex1f47ee59f0

134350789104 has 80 divisors (see below), whose sum is σ = 440727466240. Its totient is φ = 38385938880.

The previous prime is 134350789103. The next prime is 134350789109. The reversal of 134350789104 is 401987053431.

134350789104 is a `hidden beast` number, since 1 + 34 + 3 + 507 + 8 + 9 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134350789104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134350789103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22211062 + ... + 22217109.

It is an arithmetic number, because the mean of its divisors is an integer number (5509093328).

Almost surely, 2134350789104 is an apocalyptic number.

134350789104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134350789104 is an abundant number, since it is smaller than the sum of its proper divisors (306376677136).

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

134350789104 is a wasteful number, since it uses less digits than its factorization.

134350789104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44428195 (or 44428183 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 134350789104 in words is "one hundred thirty-four billion, three hundred fifty million, seven hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 44428171 88856342 133284513 177712684 266569026 310997197 355425368 399853539 533138052 621994394 710850736 799707078 932991591 1066276104 1199560617 1243988788 1599414156 1865983182 2132552208 2399121234 2487977576 2798974773 3198828312 3731966364 4798242468 4975955152 5597949546 6397656624 7463932728 8396924319 9596484936 11195899092 14927865456 16793848638 19192969872 22391798184 33587697276 44783596368 67175394552 134350789104