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145402161345 = 33571423108127
BaseRepresentation
bin1000011101101010100…
…1001110100011000001
3111220022022211002222000
42013122221032203001
54340240423130340
6150444040534213
713335125656560
oct2073251164301
9456268732860
10145402161345
11567348029a1
122421aa81369
1310932b3ab7c
147074c97bd7
153bb0116d30
hex21daa4e8c1

145402161345 has 64 divisors (see below), whose sum is σ = 295630602240. Its totient is φ = 66422234304.

The previous prime is 145402161341. The next prime is 145402161407. The reversal of 145402161345 is 543161204541.

145402161345 is a `hidden beast` number, since 1 + 4 + 540 + 21 + 61 + 34 + 5 = 666.

145402161345 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145402161345 - 22 = 145402161341 is a prime.

It is a super-2 number, since 2×1454021613452 (a number of 23 digits) contains 22 as substring.

145402161345 is strictly pandigital in base 11.

It is not an unprimeable number, because it can be changed into a prime (145402161341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1290672 + ... + 1398798.

It is an arithmetic number, because the mean of its divisors is an integer number (4619228160).

Almost surely, 2145402161345 is an apocalyptic number.

145402161345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145402161345 is an abundant number, since it is smaller than the sum of its proper divisors (150228440895).

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

145402161345 is a wasteful number, since it uses less digits than its factorization.

145402161345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109571 (or 109565 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 145402161345 its reverse (543161204541), we get a palindrome (688563365886).

The spelling of 145402161345 in words is "one hundred forty-five billion, four hundred two million, one hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1423 4269 7115 9961 12807 21345 29883 38421 49805 64035 89649 108127 149415 192105 268947 324381 448245 540635 756889 973143 1344735 1621905 2270667 2919429 3784445 4865715 6812001 11353335 14597145 20436003 34060005 102180015 153864721 461594163 769323605 1077053047 1384782489 2307970815 3231159141 4154347467 5385265235 6923912445 9693477423 16155795705 20771737335 29080432269 48467387115 145402161345