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134411329088100 = 22325271254432
BaseRepresentation
bin11110100011111100010011…
…100001100010101001100100
3122121220121010121221122221100
4132203330103201202221210
5120104143400221304400
61153511413453520100
740211620015241151
oct3643742341425144
9577817117848840
10134411329088100
11399115851a0819
12130a99961a3030
1359ccc1ab5a27c
142529786157228
151081531844100
hex7a3f13862a64

134411329088100 has 243 divisors, whose sum is σ = 427400813437689. Its totient is φ = 35331697396800.

The previous prime is 134411329088039. The next prime is 134411329088131. The reversal of 134411329088100 is 1880923114431.

The square root of 134411329088100 is 11593590.

It is a perfect power (a square), and thus also a powerful number.

134411329088100 is a `hidden beast` number, since 1 + 3 + 441 + 1 + 3 + 29 + 0 + 88 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48388078471716 + 86023250616384 = 6956154^2 + 9274872^2 .

It is a super-2 number, since 2×1344113290881002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 24694343979 + ... + 24694349421.

Almost surely, 2134411329088100 is an apocalyptic number.

134411329088100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134411329088100 is the 11593590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134411329088100

134411329088100 is an abundant number, since it is smaller than the sum of its proper divisors (292989484349589).

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

134411329088100 is an frugal number, since it uses more digits than its factorization.

134411329088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 134411329088100 in words is "one hundred thirty-four trillion, four hundred eleven billion, three hundred twenty-nine million, eighty-eight thousand, one hundred".