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134225544400 = 2452335563861
BaseRepresentation
bin111110100000001110…
…1110100010011010000
3110211110102001010211021
41331000131310103100
54144343214410100
6141355023125224
712461143205533
oct1750035642320
9424412033737
10134225544400
1151a19903192
122201ba43814
13c87145546c
1466d4770a1a
153758cdba1a
hex1f407744d0

134225544400 has 30 divisors (see below), whose sum is σ = 322476871382. Its totient is φ = 53690217600.

The previous prime is 134225544379. The next prime is 134225544419. The reversal of 134225544400 is 4445522431.

It can be written as a sum of positive squares in 3 ways, for example, as 40261225104 + 93964319296 = 200652^2 + 306536^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167781531 + ... + 167782330.

Almost surely, 2134225544400 is an apocalyptic number.

134225544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134225544400 is an abundant number, since it is smaller than the sum of its proper divisors (188251326982).

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

134225544400 is a wasteful number, since it uses less digits than its factorization.

134225544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335563879 (or 335563868 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 134225544400 in words is "one hundred thirty-four billion, two hundred twenty-five million, five hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 335563861 671127722 1342255444 1677819305 2684510888 3355638610 5369021776 6711277220 8389096525 13422554440 16778193050 26845108880 33556386100 67112772200 134225544400