Search a number
-
+
134141550624 = 2532736380401
BaseRepresentation
bin111110011101101110…
…1011010000000100000
3110211020112222211000200
41330323131122000200
54144210214104444
6141342422545200
712456103236654
oct1747335320040
9424215884020
10134141550624
1151986454444
1221bb7898200
13c859c272c3
1466c7548a64
153751749969
hex1f3b75a020

134141550624 has 72 divisors (see below), whose sum is σ = 386690643612. Its totient is φ = 44101324800.

The previous prime is 134141550611. The next prime is 134141550629. The reversal of 134141550624 is 426055141431.

134141550624 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 41 + 550 + 62 + 4 = 666.

134141550624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134087792400 + 53758224 = 366180^2 + 7332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1341415506242 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134141550629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3169177 + ... + 3211224.

Almost surely, 2134141550624 is an apocalyptic number.

It is an amenable number.

134141550624 is an abundant number, since it is smaller than the sum of its proper divisors (252549092988).

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

134141550624 is a wasteful number, since it uses less digits than its factorization.

134141550624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380490 (or 6380479 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 134141550624 in words is "one hundred thirty-four billion, one hundred forty-one million, five hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 6380401 12760802 19141203 25521604 38282406 51043208 57423609 76564812 102086416 114847218 153129624 204172832 229694436 306259248 459388872 465769273 612518496 918777744 931538546 1397307819 1837555488 1863077092 2794615638 3726154184 4191923457 5589231276 7452308368 8383846914 11178462552 14904616736 16767693828 22356925104 33535387656 44713850208 67070775312 134141550624