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134211314232 = 23332292713313
BaseRepresentation
bin111110011111110011…
…1100010001000111000
3110211102102021011201000
41330333213202020320
54144331044023412
6141353354125000
712460611230262
oct1747747421070
9424372234630
10134211314232
1151a11873916
1222017120760
13c86b512348
1466d2908b32
15375792a4dc
hex1f3f9e2238

134211314232 has 64 divisors (see below), whose sum is σ = 374437332000. Its totient is φ = 44541729792.

The previous prime is 134211314231. The next prime is 134211314243. The reversal of 134211314232 is 232413112431.

134211314232 is a `hidden beast` number, since 1 + 3 + 421 + 1 + 3 + 1 + 4 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 134211314196 and 134211314205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134211314231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307193 + ... + 1406120.

Almost surely, 2134211314232 is an apocalyptic number.

134211314232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134211314232 is an abundant number, since it is smaller than the sum of its proper divisors (240226017768).

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

134211314232 is a wasteful number, since it uses less digits than its factorization.

134211314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713557 (or 2713547 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 134211314232 its reverse (232413112431), we get a palindrome (366624426663).

The spelling of 134211314232 in words is "one hundred thirty-four billion, two hundred eleven million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 24732 49464 2713313 5426626 8139939 10853252 16279878 21706504 24419817 32559756 48839634 65119512 73259451 97679268 146518902 195358536 293037804 586075608 621348677 1242697354 1864046031 2485394708 3728092062 4970789416 5592138093 7456184124 11184276186 14912368248 16776414279 22368552372 33552828558 44737104744 67105657116 134211314232