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134131333444444 = 22729240599686563
BaseRepresentation
bin11110011111110111100010…
…011110111011001101011100
3122120220211102020202020020001
4132133313202132323031130
5120040101432330210234
61153135030043304044
740152445324445230
oct3637674236731534
9576824366666201
10134131333444444
1139813862a29526
121306367421b024
1359ac6b85a010b
142519dc3b125c0
1510790e54b1d14
hex79fde27bb35c

134131333444444 has 48 divisors (see below), whose sum is σ = 277514661312000. Its totient is φ = 55502309209536.

The previous prime is 134131333444439. The next prime is 134131333444447. The reversal of 134131333444444 is 444444333131431.

It is a super-2 number, since 2×1341313334444442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134131333444394 and 134131333444403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134131333444447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195023107 + ... + 195709669.

It is an arithmetic number, because the mean of its divisors is an integer number (5781555444000).

Almost surely, 2134131333444444 is an apocalyptic number.

134131333444444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134131333444444 is an abundant number, since it is smaller than the sum of its proper divisors (143383327867556).

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

134131333444444 is a wasteful number, since it uses less digits than its factorization.

134131333444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927202 (or 927200 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 46.

Adding to 134131333444444 its reverse (444444333131431), we get a palindrome (578575666575875).

The spelling of 134131333444444 in words is "one hundred thirty-four trillion, one hundred thirty-one billion, three hundred thirty-three million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 240599 481198 686563 962396 1373126 1684193 2746252 3368386 4805941 6736772 6977371 9611882 13954742 19223764 19910327 27909484 39820654 48841597 79641308 97683194 139372289 195366388 278744578 557489156 165186371237 330372742474 660745484948 1156304598659 2312609197318 4625218394636 4790404765873 9580809531746 19161619063492 33532833361111 67065666722222 134131333444444