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145344444102 = 23211131012712063
BaseRepresentation
bin1000011101011100110…
…1000011011011000110
3111220011022012202210100
42013113031003123012
54340131134202402
6150434215504530
713333525250664
oct2072715033306
9456138182710
10145344444102
11567051710a0
1224203688146
1310923bacc60
14706b351c34
153baa01571c
hex21d73436c6

145344444102 has 192 divisors, whose sum is σ = 375191212032. Its totient is φ = 40085280000.

The previous prime is 145344444073. The next prime is 145344444121. The reversal of 145344444102 is 201444443541.

145344444102 is a `hidden beast` number, since 14 + 534 + 4 + 4 + 4 + 4 + 102 = 666.

145344444102 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453444441022 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 70451923 + ... + 70453985.

It is an arithmetic number, because the mean of its divisors is an integer number (1954120896).

Almost surely, 2145344444102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145344444102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187595606016).

145344444102 is an abundant number, since it is smaller than the sum of its proper divisors (229846767930).

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

145344444102 is a wasteful number, since it uses less digits than its factorization.

145344444102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 145344444102 its reverse (201444443541), we get a palindrome (346788887643).

The spelling of 145344444102 in words is "one hundred forty-five billion, three hundred forty-four million, four hundred forty-four thousand, one hundred two".