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144774612 = 2232291011373
BaseRepresentation
bin10001010000100…
…01010111010100
3101002102022102200
420220101113110
5244030241422
622211004500
73405364263
oct1050212724
9332368380
10144774612
11747a3344
1240599730
1323cbc668
14153285da
15ca9b2ac
hex8a115d4

144774612 has 72 divisors (see below), whose sum is σ = 382604040. Its totient is φ = 46099200.

The previous prime is 144774611. The next prime is 144774629. The reversal of 144774612 is 216477441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107246736 + 37527876 = 10356^2 + 6126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144774611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104758 + ... + 106130.

It is an arithmetic number, because the mean of its divisors is an integer number (5313945).

Almost surely, 2144774612 is an apocalyptic number.

144774612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144774612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191302020).

144774612 is an abundant number, since it is smaller than the sum of its proper divisors (237829428).

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

144774612 is a wasteful number, since it uses less digits than its factorization.

144774612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1508 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 144774612 is about 12032.2322118550. The cubic root of 144774612 is about 525.0864401888.

The spelling of 144774612 in words is "one hundred forty-four million, seven hundred seventy-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 261 303 348 404 522 606 909 1044 1212 1373 1818 2746 2929 3636 4119 5492 5858 8238 8787 11716 12357 16476 17574 24714 26361 35148 39817 49428 52722 79634 105444 119451 138673 159268 238902 277346 358353 416019 477804 554692 716706 832038 1248057 1433412 1664076 2496114 4021517 4992228 8043034 12064551 16086068 24129102 36193653 48258204 72387306 144774612