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145432313442 = 232133753557569
BaseRepresentation
bin1000011101110001110…
…0001111111001100010
3111220101102112222212100
42013130130033321202
54340321133012232
6150451035111230
713335643160553
oct2073434177142
9456342488770
10145432313442
115674a827689
1224228ba2516
1310939167150
147078ca632a
153bb2ac0c7c
hex21dc70fe62

145432313442 has 192 divisors, whose sum is σ = 356351879520. Its totient is φ = 42565865472.

The previous prime is 145432313437. The next prime is 145432313443. The reversal of 145432313442 is 244313234541.

145432313442 is a `hidden beast` number, since 1 + 45 + 43 + 231 + 344 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1860283161 + 143572030281 = 43131^2 + 378909^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145432313397 and 145432313406.

It is not an unprimeable number, because it can be changed into a prime (145432313443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255592534 + ... + 255593102.

Almost surely, 2145432313442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145432313442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178175939760).

145432313442 is an abundant number, since it is smaller than the sum of its proper divisors (210919566078).

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

145432313442 is a wasteful number, since it uses less digits than its factorization.

145432313442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1234 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 145432313442 its reverse (244313234541), we get a palindrome (389745547983).

The spelling of 145432313442 in words is "one hundred forty-five billion, four hundred thirty-two million, three hundred thirteen thousand, four hundred forty-two".