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145314246 = 237111512083
BaseRepresentation
bin10001010100101…
…01000111000110
3101010102201200010
420222111013012
5244200023441
622230331050
73413102460
oct1052250706
9333381603
10145314246
1175031820
12407b9a86
132414b17c
1415429130
15cb56116
hex8a951c6

145314246 has 64 divisors (see below), whose sum is σ = 364916736. Its totient is φ = 37476000.

The previous prime is 145314217. The next prime is 145314263. The reversal of 145314246 is 642413541.

It is a super-2 number, since 2×1453142462 = 42232460181097032, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68721 + ... + 70803.

It is an arithmetic number, because the mean of its divisors is an integer number (5701824).

Almost surely, 2145314246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145314246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182458368).

145314246 is an abundant number, since it is smaller than the sum of its proper divisors (219602490).

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

145314246 is a wasteful number, since it uses less digits than its factorization.

145314246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257.

The product of its digits is 11520, while the sum is 30.

The square root of 145314246 is about 12054.6358717300. The cubic root of 145314246 is about 525.7380350141.

Adding to 145314246 its reverse (642413541), we get a palindrome (787727787).

The spelling of 145314246 in words is "one hundred forty-five million, three hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 231 302 453 462 906 1057 1661 2083 2114 3171 3322 4166 4983 6249 6342 9966 11627 12498 14581 22913 23254 29162 34881 43743 45826 68739 69762 87486 137478 160391 314533 320782 481173 629066 943599 962346 1887198 2201731 3459863 4403462 6605193 6919726 10379589 13210386 20759178 24219041 48438082 72657123 145314246