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144413322430212 = 2232111489244916123
BaseRepresentation
bin100000110101011111011000…
…110010001100011100000100
3200221022210000202000012002100
4200311133120302030130010
5122412031441020231322
61231050321531112100
742263342520010503
oct4065373062143404
9627283022005070
10144413322430212
1142018389734210
12142443295a2630
13627716bc6b564
1427938dbcca83a
1511a67c6781dac
hex8357d8c8c704

144413322430212 has 72 divisors (see below), whose sum is σ = 398498127037920. Its totient is φ = 43732222744320.

The previous prime is 144413322430187. The next prime is 144413322430219. The reversal of 144413322430212 is 212034223314441.

144413322430212 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 3 + 3 + 2 + 2 + 430 + 212 = 666.

It is a super-2 number, since 2×1444133224302122 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (144413322430219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121868418 + ... + 123047705.

It is an arithmetic number, because the mean of its divisors is an integer number (5534696208860).

Almost surely, 2144413322430212 is an apocalyptic number.

144413322430212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144413322430212 is an abundant number, since it is smaller than the sum of its proper divisors (254084804607708).

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

144413322430212 is a wasteful number, since it uses less digits than its factorization.

144413322430212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244917633 (or 244917628 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144413322430212 its reverse (212034223314441), we get a palindrome (356447545744653).

The spelling of 144413322430212 in words is "one hundred forty-four trillion, four hundred thirteen billion, three hundred twenty-two million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1489 2978 4467 5956 8934 13401 16379 17868 26802 32758 49137 53604 65516 98274 147411 196548 294822 589644 244916123 489832246 734748369 979664492 1469496738 2204245107 2694077353 2938993476 4408490214 5388154706 8082232059 8816980428 10776309412 16164464118 24246696177 32328928236 48493392354 96986784708 364680107147 729360214294 1094040321441 1458720428588 2188080642882 3282120964323 4011481178617 4376161285764 6564241928646 8022962357234 12034443535851 13128483857292 16045924714468 24068887071702 36103330607553 48137774143404 72206661215106 144413322430212