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134322343344 = 24327133256293
BaseRepresentation
bin111110100011000111…
…1000100110110110000
3110211201011012001000100
41331012033010312300
54200043004441334
6141412401552400
712463430036310
oct1750617046660
9424634161010
10134322343344
1151a69508712
1222048345700
13c888517c47
14670356b440
15376255cc99
hex1f463c4db0

134322343344 has 60 divisors (see below), whose sum is σ = 429618291856. Its totient is φ = 38377812096.

The previous prime is 134322343307. The next prime is 134322343349. The reversal of 134322343344 is 443343223431.

134322343344 is a `hidden beast` number, since 13 + 43 + 223 + 43 + 344 = 666.

It is a super-2 number, since 2×1343223433442 (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 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 = 134322343299 and 134322343308.

It is not an unprimeable number, because it can be changed into a prime (134322343349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66627139 + ... + 66629154.

Almost surely, 2134322343344 is an apocalyptic number.

134322343344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134322343344 is an abundant number, since it is smaller than the sum of its proper divisors (295295948512).

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

134322343344 is a wasteful number, since it uses less digits than its factorization.

134322343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133256314 (or 133256305 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 134322343344 its reverse (443343223431), we get a palindrome (577665566775).

The spelling of 134322343344 in words is "one hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 133256293 266512586 399768879 533025172 799537758 932794051 1066050344 1199306637 1599075516 1865588102 2132100688 2398613274 2798382153 3198151032 3731176204 4797226548 5596764306 6396302064 7462352408 8395146459 9594453096 11193528612 14924704816 16790292918 19188906192 22387057224 33580585836 44774114448 67161171672 134322343344