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145040105232 = 2432111731293593
BaseRepresentation
bin1000011100010100010…
…0000101111100010000
3111212101002112202100100
42013011010011330100
54334020231331412
6150344104452400
713323141360441
oct2070504057420
9455332482310
10145040105232
11565693a3870
122413977a100
13108a5b23299
14703cb6d2c8
153b8d44aedc
hex21c5105f10

145040105232 has 480 divisors, whose sum is σ = 486454864896. Its totient is φ = 39827865600.

The previous prime is 145040105219. The next prime is 145040105239. The reversal of 145040105232 is 232501040541.

It is a junction number, because it is equal to n+sod(n) for n = 145040105196 and 145040105205.

It is not an unprimeable number, because it can be changed into a prime (145040105239) 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, 244586728 + ... + 244587320.

Almost surely, 2145040105232 is an apocalyptic number.

145040105232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145040105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243227432448).

145040105232 is an abundant number, since it is smaller than the sum of its proper divisors (341414759664).

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

145040105232 is a wasteful number, since it uses less digits than its factorization.

145040105232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145040105232 its reverse (232501040541), we get a palindrome (377541145773).

The spelling of 145040105232 in words is "one hundred forty-five billion, forty million, one hundred five thousand, two hundred thirty-two".