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145415144 = 23721721821
BaseRepresentation
bin10001010101011…
…01101111101000
3101010121212002002
420222231233220
5244211241034
622232430132
73414002600
oct1052555750
9333555062
10145415144
11750a0606
1240848348
1324185084
1415453c00
15cb75e7e
hex8aadbe8

145415144 has 48 divisors (see below), whose sum is σ = 335840580. Its totient is φ = 58652160.

The previous prime is 145415129. The next prime is 145415159. The reversal of 145415144 is 441514541.

It is an interprime number because it is at equal distance from previous prime (145415129) and next prime (145415159).

It can be written as a sum of positive squares in 2 ways, for example, as 139948900 + 5466244 = 11830^2 + 2338^2 .

It is a super-2 number, since 2×1454151442 = 42291128209081472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4247 + ... + 17574.

Almost surely, 2145415144 is an apocalyptic number.

145415144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145415144 is an abundant number, since it is smaller than the sum of its proper divisors (190425436).

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

145415144 is a wasteful number, since it uses less digits than its factorization.

145415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21858 (or 21847 counting only the distinct ones).

The product of its digits is 6400, while the sum is 29.

The square root of 145415144 is about 12058.8201744615. The cubic root of 145415144 is about 525.8596877887.

Adding to 145415144 its reverse (441514541), we get a palindrome (586929685).

The spelling of 145415144 in words is "one hundred forty-five million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 21821 43642 87284 152747 174568 305494 370957 610988 741914 1069229 1221976 1483828 2138458 2596699 2967656 4276916 5193398 8553832 10386796 18176893 20773592 36353786 72707572 145415144