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145112413446 = 2327111321793461
BaseRepresentation
bin1000011100100101011…
…1111011010100000110
3111212120010121101120100
42013021113323110012
54334142234212241
6150355210344530
713325010106530
oct2071127732406
9455503541510
10145112413446
11565a61a1020
1224159a2b146
13108b7abc600
1470485d2850
153b949809b6
hex21c95fb506

145112413446 has 288 divisors, whose sum is σ = 426959320320. Its totient is φ = 34587820800.

The previous prime is 145112413393. The next prime is 145112413471. The reversal of 145112413446 is 644314211541.

145112413446 is a `hidden beast` number, since 1 + 4 + 511 + 2 + 4 + 134 + 4 + 6 = 666.

145112413446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451124134462 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145112413446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41926156 + ... + 41929616.

It is an arithmetic number, because the mean of its divisors is an integer number (1482497640).

Almost surely, 2145112413446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145112413446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213479660160).

145112413446 is an abundant number, since it is smaller than the sum of its proper divisors (281846906874).

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

145112413446 is a wasteful number, since it uses less digits than its factorization.

145112413446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3676 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 145112413446 its reverse (644314211541), we get a palindrome (789426624987).

The spelling of 145112413446 in words is "one hundred forty-five billion, one hundred twelve million, four hundred thirteen thousand, four hundred forty-six".