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134424345040 = 2451680304313
BaseRepresentation
bin111110100110001010…
…0001011100111010000
3110211222021010021000221
41331030110023213100
54200300113020130
6141430444122424
712466106036326
oct1751424134720
9424867107027
10134424345040
1152011047037
1222076536414
13c8a36ac88b
146712d1dd16
15376b4aa87a
hex1f4c50b9d0

134424345040 has 20 divisors (see below), whose sum is σ = 312536602404. Its totient is φ = 53769737984.

The previous prime is 134424345031. The next prime is 134424345049. The reversal of 134424345040 is 40543424431.

134424345040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134424345031) and next prime (134424345049).

It can be written as a sum of positive squares in 2 ways, for example, as 59229930384 + 75194414656 = 243372^2 + 274216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 134424344987 and 134424345005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134424345049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 840152077 + ... + 840152236.

Almost surely, 2134424345040 is an apocalyptic number.

134424345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134424345040 is an abundant number, since it is smaller than the sum of its proper divisors (178112257364).

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

134424345040 is a wasteful number, since it uses less digits than its factorization.

134424345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680304326 (or 1680304320 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 134424345040 its reverse (40543424431), we get a palindrome (174967769471).

The spelling of 134424345040 in words is "one hundred thirty-four billion, four hundred twenty-four million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1680304313 3360608626 6721217252 8401521565 13442434504 16803043130 26884869008 33606086260 67212172520 134424345040