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132430441342134 = 2313173171912593559
BaseRepresentation
bin11110000111000111011101…
…011010011110010010110110
3122100220020010011011220200210
4132013013131122132102312
5114324220020440422014
61145353412130450250
736615532535226255
oct3607073532362266
9570806104156623
10132430441342134
1139218486757301
1212a29aa6a33986
1358b81a20a7970
14249b94bb0279c
151049c466c6859
hex7871dd69e4b6

132430441342134 has 256 divisors, whose sum is σ = 312525029376000. Its totient is φ = 37022309591040.

The previous prime is 132430441342123. The next prime is 132430441342183. The reversal of 132430441342134 is 431243144034231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 132430441342092 and 132430441342101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37210012647 + ... + 37210016205.

It is an arithmetic number, because the mean of its divisors is an integer number (1220800896000).

Almost surely, 2132430441342134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132430441342134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156262514688000).

132430441342134 is an abundant number, since it is smaller than the sum of its proper divisors (180094588033866).

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

132430441342134 is a wasteful number, since it uses less digits than its factorization.

132430441342134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603.

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 132430441342134 its reverse (431243144034231), we get a palindrome (563673585376365).

The spelling of 132430441342134 in words is "one hundred thirty-two trillion, four hundred thirty billion, four hundred forty-one million, three hundred forty-two thousand, one hundred thirty-four".